Revision Exercise Question 1 May Chan operates a retail business. The capital balance of her business as at 1 January 2019 was $1,000,000. The assets and liabilities of his business as at 31 December 2019, the year-end date, were as follows: $ Trade receivables 50,000 Trade payables 25,000 Inventory 32,000 Cash at bank Office equipment Prepayments 110,000 500,000 3,000 During the year, May took cash of $12,000 and inventory of $500 each month for her personal use. Required: (a) (b) Prepare for May Chan’s business a statement of affairs as at 31 December 2019. Calculate the net profit or net loss for the year. (3.5 marks) (3.5 marks) Answer: (a) May Chan Statement of Affairs as at 31 December 2019 $ Assets Office equipment Trade receivables Inventory Cash at bank Prepayments Liabilities: Trade payables Capital as at 31 December 2019 500,000 50,000 32,000 110,000 3,000 695,000 0.5 0.5 0.5 0.5 0.5 25,000 670,000 0.5 Less (b) Net profit / (loss) = Closing capital balance + Drawings – Opening capital balance = $670,000 + [($12,000 + $500) × 12] – $1,000,000 = ($180,000) 0.5 3 0.5 Question 2 Given the following information on Eric Lee’s business for the year ended 31 December 2018: Cash purchases Discounts received Cash refund received from a trade creditor on over-payment Cash and cheque payments to trade creditors Returns outwards Carriage inwards Carriage outwards $ 400,000 325,000 35,000 2,546,500 23,500 50,000 26,500 As at 1 January 2018, trade payables totalled $564,100. As at 31 December 2018, trade payables totalled $734,900. Required: Determine the total amount of purchases for the year ended 31 December 2018. (5 marks) Answer: Returns outwards Discounts received Cash and bank Balance c/f Total Trade Payables $ 23,500 Balance b/f 325,000 Cash — Refund 2,546,500 Credit purchases (balancing figure) 734,900 3,629,900 Total purchases = Cash purchases + Credit purchases = $400,000 + $3,030,800 = $3,430,800 $ 564,100 35,000 3,030,800 0.5 0.5 1 0.5 0.5 0.5 0.5 3,629,900 1 Question 3 Larry Ltd performed an inventory count on 31 March 2016. However, the inventory sheets were lost. Further investigation revealed the following information: (i) Goods were sold at a uniform mark-up of 20%. (ii) Inventory as at 1 January 2016 was valued at $495,880. (iii) Purchases totalling $783,650 for the three months ended 31 March 2016 were recorded in the books. (iv) Sales for the three months ended 31 March 2016 amounted to $1,350,000. (v) Goods returned by customers during the three months ended 31 March 2016 amounted to $5,650 at cost. (vi) On 31 March 2016, goods totalling $38,450 were received from a supplier. This transaction was not recorded in the books. (vii) An inventory sheet as at 1 January 2016 was overcast by $4,500. (viii) Gross profit for the three months ended 31 March 2016 was $217,940. Required: Prepare for Larry Ltd an income statement extract, showing sales, cost of goods sold and gross profit for the three months ended 31 March 2016. (5 marks) Answer: Larry Ltd Income Statement for the three months ended 31 March 2016 (extract) $ Sales Less Returns inwards ($5,650 × 120%) Less Cost of goods sold: Opening inventory ($495,880 – $4,500) Add Purchases ($783,650 + $38,450) Less Closing inventory (balancing figure) Gross profit 491,380 822,100 1,313,480 188,200 $ 1,350,000 6,780 1,343,220 0.5 1 1 1 1,125,280 217,940 1 0.5 Question 4 Tony Tam is a sole trader. His business had a capital balance of $500,000 as at 1 January 2019. During the year ended 31 December 2019, Tony withdrew cash of $10,000 for personal use each month. His business had a capital balance of $1,000,000 as at 31 December 2019. Required: (a) Calculate the net profit for the year. (b) Calculate the return on capital employed. (2.5 marks) (2.5 marks) (Calculations to two decimal places) Answer: (a) (b) Net profit = Closing capital balance + Drawings – Opening capital balance = $1,000,000 + ($10,000 × 12) – $500,000 = $620,000 2 0.5 Return on capital employed = Net profit ÷ Average capital × 100% = $620,000 ÷ [($1,000,000 + $500,000) ÷ 2] × 100% = 82.67% 2 0.5 Question 5 Cherry Au is a sole trader. Her business’s summarised statement of financial position as at 31 December 2016 is as follows: Cherry Au Statement of Financial Position as at 31 December 2016 $ Assets Capital and liabilities Furniture and fittings 190,000 Capital Inventory 27,500 Trade payables Trade receivables 46,000 Cash at bank 2,700 266,200 $ 202,050 64,150 266,200 As at 31 December 2017, the liabilities of her business consisted of trade payables $50,050 and a loan of $47,500 from Lemon Ltd (repayable within one year). The assets included furniture and fittings $167,500, inventory $22,750, trade receivables $40,250 and cash at bank $8,100. Drawings in 2017 totalled $93,500 and the owner also contributed additional capital of $25,000. The gross profit ratio was 20% and the net profit ratio was 12%. Required: From the above information, prepare the following: (a) A statement of financial position as at 31 December 2017. (b) An income statement for the year ended 31 December 2017. (5 marks) (5 marks) Answer: (a) Cherry Au Statement of Financial Position as at 31 December 2017 $ $ Non-current assets Capital Furniture and fittings 167,500 Balance as at 1 January 2017 Add Capital introduced Current assets Inventory 22,750 Add Net profit for the year Trade receivables 40,250 (balancing figure) Cash at bank 8,100 71,100 Less Drawings Current liabilities Trade payables Loan from Lemon Ltd 238,600 $ $ 202,050 25,000 227,050 7,500 234,550 93,500 141,050 50,050 47,500 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 97,550 238,600 (b) Cherry Au Income Statement for the year ended 31 December 2017 $ Opening inventory 27,500 Sales (W1) Add Purchases (balancing figure) 45,250 72,750 Less Closing inventory 22,750 Cost of goods sold 50,000 Gross profit c/d (W2) 12,500 62,500 Operating expenses (balancing figure) 5,000 Gross profit b/d Net profit 7,500 12,500 Workings: (W1) Net profit ratio = 12% $7,500 ÷ Sales = 12% Sales = $62,500 (W2) Gross profit ratio = 20% Gross profit ÷ $62,500 = 20% Gross profit = $12,500 $ 62,500 0.5 0.5 0.5 0.5 1 62,500 12,500 12,500 0.5 0.5 1 Question 6 Wilson Lam commenced business on 1 October 2015. He did not maintain a full set of accounting records. All purchases and sales were made on credit. All other transactions were made by cheque. For the year ended 30 September 2016, Wilson provided the following information: $ Capital introduced on 1 October 2015 (cheque) 1,000,000 Machinery and equipment (purchased on 1 October 2015 by cheque) 670,000 Bad debts 2,600 Sales 685,000 Discounts received from suppliers 10,000 Payments to suppliers Returns to suppliers Returns from customers 424,000 15,000 2,000 Allowance for doubtful accounts Inventory, 30 September 2016: At cost At net realisable value 12,500 42,800 40,000 Trade receivables, 30 September 2016 Trade payables, 30 September 2016 Cash at bank 57,000 37,000 144,200 Expenses paid ? Required: (a) Calculate the net purchases for the year ended 30 September 2016. (3.5 marks) (b) Calculate the amount received from customers during the year ended 30 September 2016. (3 marks) (c) Calculate the amount of expenses paid by cheque during the year ended 30 September 2016. (3.5 marks) (d) Which inventory value, $42,800 or $40,000, should be used to value the closing inventory? State the accounting principle or concept that has been applied. Assuming the wrong figure was used, state the effect on net profit for the year ended 30 September 2016 and 30 September 2017, respectively. (6 marks) (a) Discounts received Bank Returns outwards Balance c/f Total Trade Payables $ 10,000 Purchases (balancing figure) 424,000 15,000 37,000 486,000 $ 486,000 0.5 0.5 0.5 0.5 0.5 486,000 Net purchases = $486,000 – $15,000 = $471,000 1 (b) Total Trade Receivables $ 685,000 Bad debts Returns inwards Bank (balancing figure) Balance c/f 685,000 Sales $ 2,600 2,000 623,400 57,000 685,000 0.5 Amount received from customers = $623,400 0.5 0.5 0.5 0.5 0.5 (c) Capital Trade receivables (from (b)) Bank $ 1,000,000 Machinery and equipment 623,400 Trade payables Expenses (balancing figure) Balance c/f 1,623,400 $ 670,000 424,000 385,200 144,200 1,623,400 Amount of expenses paid by cheque = $385,200 (d) 0.5 0.5 0.5 0.5 0.5 0.5 0.5 Inventory should be valued at the lower of cost and net realisable value. As the net realisable value of the closing inventory is lower than cost ($42,800), the inventory should be valued at its net realisable value of $40,000. 2 The lower of cost and net realisable value is an application of the prudence concept. 1 If the wrong figure (i.e., $42,800) was used, net profit for the year ended 30 September 2016 would be overstated by $2,800 ($42,800 – $40,000). 1 On the other hand, net profit for the year ended 30 September 2017 would be understated by $2,800 as the opening inventory for that year would be overstated by $2,800, which would result in a higher cost of goods sold figure. 2 Question 7 During the year ended 31 December 2016, Ace Ltd produced a total of 204,500 notebook computers, with 205,000 units sold for $3,900 each. The following details relate to the notebook computers: $ Salesmen’s commissions 100 per unit sold Advertising expenses 10,000,000 Administrative expenses 15,000,000 Direct labour 500 per unit Direct materials 800 per unit Manufacturing overheads: Variable 200 per unit Manufacturing overheads: Fixed 184,050,000 Inventory, 1 January 2016 3,600,000 The unit costs of the computers produced in 2015 were $2,400. The company uses absorption costing. Required: (a) (b) Calculate the closing inventory in units and then compute the value of closing inventory. Prepare an income statement for the year ended 31 December 2016. (c) Compute the following: (i) Prime cost (ii) Conversion costs (iii) Product costs (iv) Period costs (6.5 marks) (5.5 marks) (1.5 marks) (2 marks) (1.5 marks) (2 marks) Answer: (a) Unit costs of a notebook computer: Direct labour Direct materials Manufacturing overheads: Variable Fixed ($184,050,000 ÷ 204,500) $ 500 800 200 900 2,400 0.5 0.5 0.5 1 0.5 Closing inventory in units: Opening inventory in units ($3,600,000 ÷ $2,400) Units produced Less Units sold Closing inventory in units Value of closing inventory = 1,000 ´ $2,400 = $2,400,000 1,500 204,500 206,000 205,000 1,000 1 0.5 0.5 0.5 0.5 (b) Ace Ltd Income Statement for the year ended 31 December 2016 Sales (205,000 ´ $3,900) Less Cost of goods sold: Opening inventory Add Manufacturing cost of goods completed (204,500 ´ $2,400) Less Closing inventory Gross profit Less Expenses: Administrative expenses Advertising expenses Salesmen’s commissions (205,000 ´ $100) Net profit (c) $000 3,600 490,800 494,400 2,400 15,000 10,000 20,500 $000 799,500 1 0.5 1 492,000 307,500 0.5 0.5 0.5 45,500 262,000 1 0.5 (i) Prime cost: Direct materials (204,500 ´ $800) Direct labour (204,500 ´ $500) $000 163,600 102,250 265,850 0.5 0.5 0.5 (ii) Conversion costs: Direct labour Manufacturing overheads [(204,500 ´ $200) + $184,050,000] $000 102,250 224,950 327,200 0.5 1 0.5 (iii) Product costs: Direct materials + Direct labour + Manufacturing overheads = $163,600,000 + $102,250,000 + $224,950,000 = $490,800,000 (iv) Period costs: Administrative expenses Advertising expenses Salesmen’s commissions $000 15,000 10,000 20,500 45,500 0.5 0.5 0.5 0.5 Question 8 Sun Co’s budgeted information for next month (based on four different output levels) is as follows: Output level Direct labour Direct materials Water and electricity Rent and rates Marketing expenses 10,000 units $50,000 $100,000 $10,000 $100,000 (vi) 20,000 units $100,000 (ii) $20,000 $100,000 $30,000 30,000 units (i) $300,000 (iv) (v) $33,000 50,000 units $250,000 (iii) $50,000 $100,000 $39,000 Required: (a) (b) Fill in the missing figures. Classify the costs into variable, fixed or mixed costs. Answer: (a) (i) $150,000 (ii) $200,000 (b) (6 marks) (5 marks) 1 1 (iii) $500,000 (iv) $30,000 (v) $100,000 1 (vi) $27,000 1 Variable costs: Direct materials, Direct labour, water and electricity Fixed costs: Rent and rates Mixed costs: Marketing expenses 1 1 1 each 1 1 each Question 9 Lemon & Co is a manufacturer that produces a single product. The firm planned to produce 100,000 units for the year ended 31 December 2016. Budgeted fixed manufacturing overheads for the year amounted to $1,000,000. In January 2017, the following information for the year ended 31 December 2016 became available: Production 80,000 units Fixed manufacturing overheads $1,000,000 Required: (a) Calculate the fixed manufacturing overhead absorption rate. (3 marks) (b) (3 marks) State the amount of fixed manufacturing overheads over- or under-absorbed. Answer: (a) (b) Fixed manufacturing overhead absorption rate under normal costing = $1,000,000 ÷ 100,000 = $10 per unit Over- or under-absorption of fixed manufacturing overheads = $1,000,000 – (80,000 × $10) = $200,000 (under-absorption) 1 0.5 1 0.5 Question 10 Abby Co is a manufacturer that produces a single product. You are provided the following budgeted information on the product for the year ended 31 December 2019: Production and sales 35,000 units Selling price $400 per unit sold Direct labour $55 per unit produced Direct materials $125 per unit produced Variable manufacturing overheads $30 per unit produced Fixed manufacturing overheads $3,500,000 Machine hours 1 hour per unit produced Variable non-manufacturing overheads $25 per unit sold Fixed non-manufacturing overheads $1,000,000 There was no opening inventory. Fixed manufacturing overheads were absorbed by applying a predetermined absorption rate on the basis of budgeted machine hours. Actual data for the year are as follows: (i) (ii) A total of 40,000 units were produced. There was closing inventory of 3,000 units. The selling price, direct labour cost per unit and direct materials cost per unit were as budgeted. (iii) Variable manufacturing overheads were $25 per unit produced. (iv) Fixed manufacturing overheads amounted to $3,800,000. (v) Non-manufacturing overheads were as budgeted. Required: (a) Calculate the predetermined fixed manufacturing overhead absorption rate. (2 marks) (b) Calculate the amount of fixed manufacturing overheads absorbed. (2 marks) (c) Prepare an income statement for the year ended 31 December 2019 under absorption costing based on actual data. (8 marks) Answer: (a) Predetermined fixed manufacturing overhead absorption rate = Budgeted fixed manufacturing overheads ÷ Budgeted machine hours = $3,500,000 ÷ (35,000 × 1) = $100 per machine hour (b) 1.5 0.5 Fixed manufacturing overheads absorbed = Actual machine hours × Predetermined fixed manufacturing overhead absorption rate = (40,000 × 1) × $100 = $4,000,000 1.5 0.5 (c) Abby Co Income Statement for the year ended 31 December 2019 Sales [(40,000 – 3,000) ´ $400] Less Cost of goods sold: Opening inventory Add Cost of goods manufactured (W1) Less Closing inventory (W2) Less Over-absorption of fixed manufacturing overheads (W3) Gross profit Less Variable non-manufacturing overheads (W4) Fixed non-manufacturing overheads Net profit $ - 12,200,000 12,200,000 915,000 11,285,000 200,000 925,000 1,000,000 $ 14,800,000 2 1 11,085,000 3,715,000 1,925,000 1,790,000 Workings: (W1) Cost of goods manufactured = 40,000 × ($55 + $125 + $100 + $25) = $12,200,000 (W2) Closing inventory = $12,200,000 × 3,000/40,000 = $915,000 (W3) Over-absorption of fixed manufacturing overheads = $4,000,000 – $3,800,000 = $200,000 (W4) Variable non-manufacturing overheads = (40,000 – 3,000) ´ $25 = $925,000 1.5 1 0.5 1 0.5 0.5 Question 11 Master Ltd commenced business on 1 January 2017 and produces a single product. The following information is available for its first year of operations. 2017 Units sold 86,000 Units manufactured 94,000 Cost and price data for 2017: Selling price per unit Variable production costs per unit produced Variable administrative and marketing costs per unit sold $240 $58 $15 The company incurred fixed production overheads of $282,000 in 2017. Fixed administrative and marketing costs in 2017 totalled $110,000. Required: (a) Prepare an income statement for the year ended 31 December 2017 using: (b) (i) Absorption costing (ii) Marginal costing Reconcile the difference in net profit between the two costing approaches. (6.5 marks) (5.5 marks) (2 marks) Answer: (a) (i) Under absorption costing: Master Ltd Income Statement for the year ended 31 December 2017 $000 Sales (86,000 ´ $240) Less Cost of goods sold: Cost of goods manufactured (W1) 5,734 Less Closing inventory (W2) 488 Gross profit Less Variable administrative and marketing costs (86,000 ´ $15) 1,290 Fixed administrative and marketing costs 110 Net profit $000 20,640 5,246 15,394 1 2 1 0.5 1 1,400 13,994 0.5 0.5 Workings: (W1) Cost of goods manufactured = 94,000 ´ [$58 + ($282,000 ÷ 94,000)] = 94,000 ´ ($58 + $3) = $5,734,000 (W2) Closing inventory = (94,000 - 86,000) ´ $61 = $488,000 1.5 0.5 0.5 0.5 (ii) Under marginal costing: Master Ltd Income Statement for the year ended 31 December 2017 $000 Sales Less Cost of goods sold: Cost of goods manufactured (94,000 ´ $58) Less Closing inventory [(94,000 - 86,000) ´ $58] Product contribution margin Less Variable administrative and marketing costs Total contribution margin Less Fixed production overheads Fixed administrative and marketing costs Net profit (b) 5,452 464 282 110 $000 20,640 0.5 1 4,988 15,652 1,290 14,362 392 13,970 1 0.5 0.5 0.5 0.5 0.5 0.5 The difference in net profit is reconciled as follows: Net profit under absorption costing Less Fixed production overheads absorbed in closing inventory (8,000 ´ $3) Net profit under marginal costing $000 13,994 24 13,970 0.5 1 0.5 Question 12 Treasure Ltd manufactures a single product. The company’s financial year ends on 31 December. Inventory as at 1 January 2019 amounted to 3,000 units, with a value of $216,000 (under absorption costing). The company incurred fixed production overheads of $798,000 in 2019. Information on unit costs in 2018 and 2019: $ 15 22 21 Direct materials Direct labour Variable production overheads Production (units) Sales (units) 2019 57,000 59,000 Selling and administrative overheads are as follows: Variable selling and administrative expenses Fixed selling and administrative expenses $19 per unit sold $180,000 per annum The selling price of the product in 2018 and 2019 was $260 per unit. Required: (a) Calculate the unit production costs for 2019 under: (i) Absorption costing (ii) Marginal costing (b) Prepare an income statement for the year ended 31 December 2019 using: (i) Absorption costing (ii) Marginal costing (c) Reconcile the difference in net profit between the two costing approaches. (2 marks) (2 marks) (6.5 marks) (6.5 marks) (4 marks) Answer: (a) (i) Unit production costs under absorption costing = $15 + $22 + $21 + ($798,000 ÷ 57,000) = $15 + $22 + $21 + $14 = $72 1.5 0.5 (ii) Unit production costs under marginal costing = $15 + $22 + $21 = $58 (b) 1.5 0.5 (i) Under absorption costing: Treasure Ltd Income Statement for the year ended 31 December 2019 $000 Sales (59,000 ´ $260) Less Cost of goods sold: Opening inventory 216 Add Cost of goods manufactured (57,000 ´ $72) 4,104 4,320 Less Closing inventory [(3,000 + 57,000 - 59,000) ´ $72] 72 Gross profit Less Variable selling and administrative expenses (59,000 ´ $19) 1,121 Fixed selling and administrative expenses 180 Net profit $000 15,340 1 0.5 1 4,248 11,092 1.5 1,301 9,791 0.5 0.5 1 0.5 (ii) Under marginal costing: Treasure Ltd Income Statement for the year ended 31 December 2019 $000 Sales Less Cost of goods sold: Opening inventory (3,000 ´ $58) Add Cost of goods manufactured (57,000 ´ $58) Less Closing inventory (1,000 ´ $58) Product contribution margin Less Variable selling and administrative expenses Total contribution margin Less Fixed production overheads Fixed selling and administrative expenses Net profit (c) 174 3,306 3,480 58 798 180 $000 15,340 0.5 1 1 3,422 11,918 1,121 10,797 978 9,819 1 0.5 0.5 0.5 0.5 0.5 0.5 The difference in net profit is reconciled as follows: Net profit under absorption costing Add Fixed production overheads absorbed in opening inventory {3,000 ´ [($216,000 ÷ 3,000) - $58]} Less Fixed production overheads absorbed in closing inventory (1,000 ´ $14) Net profit under marginal costing $000 9,791 42 9,833 14 9,819 0.5 2 1 0.5 Question 13 Snowball Ltd produces a single product. The company uses absorption costing but is considering adopting marginal costing instead. It wants to compare the results under these two costing systems. Fixed production overheads are absorbed at the rate of $30 per unit, based on the normal production level of 400,000 units per annum. The company’s year-end date is 31 December. The following information was extracted from the books: 2018 Production units 380,000 Sales units 370,000 Cost and price data for 2017 and 2018: Direct materials per unit produced $ 34 Direct labour per unit produced Variable production overheads per unit produced Selling price per unit 12 9 170 Non-manufacturing overheads for the past two years are as follows: Variable non-manufacturing overheads $27 per unit sold Fixed non-manufacturing overheads $8,000,000 per annum As at 31 December 2018, 90,000 units of the product remained unsold. Required: (a) Calculate the unit production costs for 2018 under: (i) Absorption costing (ii) Marginal costing (b) Prepare an income statement for the year ended 31 December 2018, using: (i) Absorption costing (ii) Marginal costing (c) Reconcile the difference in net profit between the two costing approaches. (2 marks) (2 marks) (8.5 marks) (6.5 marks) (3 marks) (a) (i) Unit production costs under absorption costing= $34 + $12 + $9 + $30 = $85 (ii) Unit production costs under marginal costing = $34 + $12 + $9 = $55 (b) (i) Under absorption costing: Snowball Ltd Income Statement for the year ended 31 December 2018 $000 Sales (370,000 ´ $170) Less Cost of goods sold: Opening inventory (W1) 6,800 Add Cost of goods manufactured (380,000 ´ $85) 32,300 39,100 Less Closing inventory (90,000 ´ $85) 7,650 31,450 Add Under-absorption of fixed production overheads (W2) 600 Gross profit Less Variable non-manufacturing overheads (370,000 ´ $27) 9,990 Fixed non-manufacturing overheads 8,000 Net profit $000 62,900 1 2 1 1 32,050 30,850 1 0.5 1 17,990 12,860 0.5 0.5 Workings: (W1) Opening inventory in units = 370,000 + 90,000 - 380,000 = 80,000 units Opening inventory in value = 80,000 ´ $85 = $6,800,000 1 1 (W2) Under-absorption of fixed production overheads = (400,000 - 380,000) ´ $30 = $600,000 (ii) Under marginal costing: Snowball Ltd Income Statement for the year ended 31 December 2018 $000 Sales Less Cost of goods sold: Opening inventory (80,000 ´ $55) Add Cost of goods manufactured (380,000 ´ $55) Less Closing inventory (90,000 ´ $55) Product contribution margin Less Variable non-manufacturing overheads Total contribution margin Less Fixed production overheads (400,000 ´ $30) Fixed non-manufacturing overheads Net profit (c) 4,400 20,900 25,300 4,950 12,000 8,000 $000 62,900 0.5 1 1 20,350 42,550 9,990 32,560 1 0.5 0.5 1 20,000 12,560 0.5 0.5 The difference in net profit is reconciled as follows: Net profit under absorption costing Add Fixed production overheads released from opening inventory (80,000 ´ $30) Less Fixed production overheads absorbed in closing inventory (90,000 ´ $30) Net profit under marginal costing $000 12,860 2,400 15,260 2,700 12,560 0.5 1 1 0.5 Question 14 Jumbo Ltd manufactures a single product. Fixed factory overheads were absorbed at the rate of $12 per unit, based on the normal production level of 360,000 units per annum. For the year ended 31 December 2017, both sales and production volumes increased considerably. As at 1 January 2017, the inventory consisted of 90,000 units. The company’s financial year ends on 31 December. Its production and sales data are as follows: 2017 Production units 430,000 Sales units 490,000 Selling price per unit $180 Unit costs for 2016 and 2017: Direct materials $45 Direct labour Variable factory overheads $31 $10 Non-manufacturing costs for the year ended 31 December 2017 are as follows: Variable non-manufacturing costs $18 per unit sold Fixed non-manufacturing costs $12,000,000 per annum Required: (a) Prepare an income statement for the year ended 31 December 2017 using: (i) Absorption costing (ii) Marginal costing (b) Reconcile the difference in net profit between the two costing approaches. (9 marks) (7 marks) (3 marks) Answer: (a) (i) Under absorption costing: Jumbo Ltd Income Statement for the year ended 31 December 2017 $000 Sales (490,000 ´ $180) Less Cost of goods sold: 8,820 Opening inventory [90,000 ´ ($45 + $31 + $10 + $12)] Add Cost of goods manufactured (430,000 ´ $98) 42,140 50,960 Less Closing inventory [(90,000 + 430,000 - 490,000) ´ $98] 2,940 48,020 Less Over-absorption of fixed factory overheads [(430,000 - 360,000) ´ $12] 840 Gross profit Less Variable non-manufacturing costs (490,000 ´ $18) 8,820 Fixed non-manufacturing costs 12,000 Net profit $000 88,200 1 2 1 1.5 47,180 41,020 1 0.5 20,820 20,200 0.5 1 0.5 (ii) Under marginal costing: Jumbo Ltd Income Statement for the year ended 31 December 2017 $000 Sales Less Cost of goods sold: Opening inventory [90,000 ´ ($45 + $31 + $10)] Add Cost of goods manufactured (430,000 ´ $86) Less Closing inventory (30,000 ´ $86) Product contribution margin Less Variable non-manufacturing costs Total contribution margin Less Fixed factory overheads (360,000 ´ $12) Fixed non-manufacturing costs Net profit (b) 7,740 36,980 44,720 2,580 4,320 12,000 $000 88,200 0.5 1.5 1 42,140 46,060 8,820 37,240 1 0.5 0.5 1 16,320 20,920 0.5 0.5 The difference in net profit is reconciled as follows: Net profit under absorption costing Add Fixed factory overheads absorbed in opening inventory (90,000 ´ $12) Less Fixed factory overheads absorbed in closing inventory (30,000 ´ $12) Net profit under marginal costing $000 20,20 0 1,080 21,28 0 360 20,92 0 0.5 1 1 0.5 Question 15 Una Ltd uses a predetermined overhead absorption rate (based on direct labour hours) to absorb fixed manufacturing overheads. Budgeted figures for the year ended 31 March 2020 are shown below: Opening inventory Nil Production and sales 40,000 units Unit selling price $300 Direct materials $30 per kg, 2.5 kg per unit Direct labour $40 per hour, 2 hours per unit Manufacturing overheads: Variable $35 per unit Fixed $800,000 Non-manufacturing overheads: Variable Fixed $20 per unit sold $1,200,000 Actual production and sales levels for the year were 45,000 and 43,000 units, respectively. Actual fixed manufacturing overheads were $920,000. Other figures were as budgeted. Required: (a) (b) Calculate the predetermined fixed manufacturing overhead absorption rate. (2 marks) Prepare the income statement for the year ended 31 March 2020 under absorption costing based on actual data. (8 marks) (Calculations to the nearest dollar) Answer: (a) Predetermined fixed manufacturing overhead absorption rate = Budgeted fixed manufacturing overheads ÷ Budgeted direct labour hours = $800,000 ÷ (40,000 × 2) = $10 per direct labour hour 1.5 0.5 (b) Una Ltd Income Statement for the year ended 31 March 2020 Sales (43,000 ´ $300) Less Cost of goods sold: Opening inventory Add Cost of goods manufactured (W1) Less Closing inventory (W2) Add Under-absorption of fixed manufacturing overheads (W3) Gross profit Less Variable non-manufacturing overheads (W4) Fixed non-manufacturing overheads Net profit $ - 9,450,000 9,450,000 420,000 9,030,000 20,000 860,000 1,200,000 $ 12,900,000 2.5 1 9,050,000 3,850,000 2,060,000 1,790,000 Workings: (W1) Cost of goods manufactured = 45,000 × [(2.5 × $30) + (2 × $40) + $35 + (2 × $10)] = $9,450,000 (W2) Closing inventory = $9,450,000 × 45,000 – 43,000/45,000 = $420,000 (W3) Under-absorption of fixed manufacturing overheads = $920,000 – (45,000 × 2 × $10) = $20,000 (W4) Variable non-manufacturing overheads = 43,000 ´ $20 = $860,000 1 1 0.5 1 0.5 0.5 ABSORPTION COSTING AND MARGINAL COSTING Ch. 2 0 Classwork Questions 2020 – 2021 DSE 1 Calculation of predetermined overhead absorption rate Question 1 Winter Ltd calculates its overhead absorption rate annually on the basis of machine hours. For the year ended 31 December 2012, the total budgeted manufacturing overheads were $345,000 and the total budgeted machine hours were 25,000 hours. (a) Calculate the predetermined overhead absorption rate for the year ended 31 December 2012. Given the following information: Machine hour consumed per unit Product A Product B Product C 3.5 hours 5 hours 7 hours (b) Calculate the predetermined overhead absorption rate for each unit of product A, B and C for the year ended 31 December 2012. Answers (a) Predetermined overhead absorption rate = $345,000 ÷ 25,000 = $13.8 per machine hour (b) Predetermined overhead absorption rate of: Product A: $13.8 x 3.5 = $48.3 per unit Product B: $13.8 x 5 = $69 per unit Product C: $13.8 x 7 = $96.6 per unit 2 Question 2 Lemon & Co is a manufacturer that produces a single product. The firm planned to produce 100,000 units for the year ended 31 December 2016. Budgeted fixed manufacturing overheads for the year amounted to $1,000,000. The fixed production overheads were absorbed based on the number of units produced. In January 2017, the following actual information for the year ended 31 December 2016 became available: Production 80,000 units Fixed manufacturing overheads $1,000,000 Required: (a) Calculate the fixed manufacturing overhead absorption rate. (3 marks) (b) State the amount of fixed manufacturing overheads over- or under-absorbed. (3 marks) Answers (a) Fixed manufacturing overhead absorption rate under normal costing = $1,000,000 ÷ 100,000 1 = $10 per unit (b) 0.5 Over- or under-absorption of fixed manufacturing overheads under normal costing = $1,000,000 – (80,000 × $10) 1 = $200,000 (under-absorption) 0.5 3 Question 3 Data of a firm for the past period are as follows: Total machine hours 8,000 Number of material requisitions 350 Number of purchase orders 200 Number of production runs 200 Production overheads: $ Absorption base: Short run variable costs 560,000 Machine hours Production scheduling costs 600,000 Production runs Stores receiving costs 50,000 Purchase orders executed Materials handling costs 70,000 Requisitions raised (a) Calculate the production overhead absorption rate for each of the four production overheads activities. (b) Assume 6,000 machine hours, 50 production runs, 100 purchase orders and 200 material requisitions were incurred on product P1, calculate the production overheads absorbed for P1. 4 Answers (a) Overhead absorption rate for Short run = ($560,000 ÷ 8,000) = $70 per machine hour Overhead absorption rate for Production scheduling = ($600,000 ÷ 200) = $3,000 per production runs Overhead absorption rate for Stores receiving = ($50,000 ÷ 200) = $250 per purchase orders Overhead absorption rate for Materials handling = ($70,000 ÷ 350) = $200 per material requisitions (b) The production overheads absorbed for P1 = 6,000 x $70 + 50 x $3,000 + 100 x $250 + 200 x $200 = $635,000 5 Question 4 J Hui operates a plant producing custom-made shoes. There are two manufacturing departments: cutting and assembly. The budgeted manufacturing overheads and levels of activity for the year ended 31 December 2010 were as follows: Cutting department Assembly department Manufacturing overheads $250,000 $320,000 Machine hours 1,000,000 200,000 Direct labour hours 160,000 800,000 Job No. 334 was completed during the year. It consumed 5,000 and 850 machine hours in the cutting and assembly departments, respectively, and 760 and 3,600 direct labour hours in the cutting and assembly departments, respectively. (a) Calculate the manufacturing overheads of Job No. 334, using a plant-wide predetermined overhead absorption rate based on direct labour hours. (b) Calculate the manufacturing overheads of Job No. 334, using departmental predetermined overhead absorption rates for each manufacturing department. The absorption base for cutting and assembly department is machine hours and direct labour hours respectively. 6 (a) Plant-wide predetermined overhead absorption rate = ($250,000 + $320,000) ÷ (160,000 + 800,000) = $0.59375 per direct labour hour (b) Departmental predetermined overhead absorption rate for the cutting department = $250,000 ÷ 1,000,000 = $0.25 per machine hour Departmental predetermined overhead absorption rate for the assembly department = $320,000 ÷ 800,000 = $0.4 per direct labour hour 7 Question 5 Wimo Ltd is a decoration company, using job costing approach to calculate the project cost. The following is the budgeted information of the company in 2014: $ Direct materials 389 000 Indirect materials 555 000 Direct labour 238 000 Indirect labour 742 000 Administrative overheads 618 000 Budgeted level of activity includes: Machine hours 39 000 hours Direct labour hours 8 000 hours Since Wimo Ltd only has one department, it has used a plant-wide production overheads absorption rate based on machine hours to allocate production overheads. REQUIRED: (a) Calculate (to two decimal places) the pre-determined production overhead absorption rate in 2014. (b) Explain the situations that are suitable for the plant-wide pre-determined production overheads absorption rate. 8 Answers (a) Pre-determined production overhead absorption rate 2 = ($555 000 + $742 000) ÷ 39 000 = $33.26 per machine hour (b) Suitable situations: 2 - Only one department in the company - There are more than one department in the company, but each department had similar usage time 9 Question 6 DS Company has two production departments: the machining department and the assembly department. Two products, Product X and Product Y, are produced by both departments. The actual production of Product X and Y in 2014 was 10,000 units and 15,000 units respectively. The budgeted production in 2015 was expected to be 20% more than the actual production in 2014. The budgeted production overheads of the machining and assembly departments in 2015 were $560,000 and $743,000 respectively. The hourly wage rate for all departments is $32. The budgeted direct labour cost of each product is as below: Product X Product Y Machining department $48 $64 Assembly department $80 $32 The budgeted machine hours of each product are as below: Product X Product Y Machinery department 3 hours 2 hours Assembly department 1.5 hours 2.5 hours The absorption rate of the machining department and assembly department are based on machine hours and direct labour hours respectively. REQUIRED: (a) Calculate (to two decimal places) the predetermined production overhead absorption rates of machining and assembly departments in 2015 respectively. (b) State the reason for adopting different absorption bases for machining and assembly departments in 2015. 10 (a) The budgeted production overhead absorption rate of the machinery department: $560,000 3 ×10,000 ×120% + 2 ×15,000 ×120% = $7.78 per machine hour The budgeted production overhead absorption rate of the assembly department: $743,000 $80 ÷ $32 ´ 10,000 ´ 120% + $32 ÷ $32 ´ 15,000 ´ 120% = $15.48 per direct labour hour (b) Machining department: machine-oriented Assembly department: labour-oriented 11 Question 7 Terry Co calculates the predetermined overhead absorption rate for the business based on machine hours. At the end of March 2019, it is estimated that 60,000 machine hours would be used during the next financial year. Estimated fixed production overheads for the year would be $720,000, while variable production overheads would be $5 per machine hour throughout the year. Actual production overhead for the year amounted to $1,000,000 and the actual number of machine hours was 50,000 hours. Required: (a) Calculate the predetermined overhead absorption rate for the year ended 31 March 2020. (2 marks) (b) Is there any over-absorption or under-absorption for the year? Show your calculations. (2 marks) (c) Based on your answer in (b), state the accounting treatment and its impact on the net profit for the year ended 31 March 2020. (2 marks) (d) State an example of a variable manufacturing cost which would increase with an increase in machine hours. (1 mark) (Total: 7 marks) 12 (a) Predetermined overhead absorption rate: ($720,000 ÷ 60,000) + $5 = $17 per machine hour (b) Production overheads absorbed (50,000 x $17) = $850,000 Actual production overheads = $1,000,000 Under-absorbed production overheads = $1,000,000 - $850,000 = $150,000 (c) Under-absorbed production overheads would increase the cost of goods sold. The amount would be debited to the profit and loss account. Net profit for the year would be decreased by $150,000. (d) Electricity / Maintenance and repairment of machines (Any reasonable answer) 13 Question 8 14 15 Income Statements under Marginal Costing and Absorption Costing l No Opening Inventory Question 9 The following are the cost data relating to December 2010 and the management of Free Company wants to know more about the company’s cost in a more organized way. $ Total material cost 90,000 Total labour cost 71,500 Total expenses 40,000 Indirect labour 38,000 Direct materials 55,000 Indirect expenses 16,500 Non-manufacturing overheads 56,000 Indirect material, indirect labor and indirect expense are incurred in the production process. REQUIRED: (a) Prepare a statement showing prime cost and total production cost and total cost from the above data. 16 The following are the budgeted information for January 2011: $ per unit Direct material cost 6 Selling price 22 Direct labour cost 4 Variable production overheads 3 Sales commission 2 Fixed production overheads: $13,500 per month The fixed production overheads are absorbed on the budgeted activity level. Budgeted production and sales were 5,400 units. There was no opening stock on 1 January 2011. Actual production and sales volume in January 2011 were 4,500 units and 4,000 units respectively. The selling price and variable costs were the same as the budgeted whereas the actual fixed production overheads were $15,120. REQUIRED: (b) (c) Prepare income statements for the month ended 31 January 2011 using (1) marginal costing and (2) absorption costing. Prepare a statement to reconcile the difference in net profit under marginal and absorption costing. 17 (a) Statement showing prime cost, total production cost and total cost $ Direct materials 55,000 Direct labour (71,500 - 38,000) 33,500 Direct expenses (40,000 - 16,500) 23,500 Prime cost 112,000 Manufacturing overheads ($38,000 + $16,500 + ($90,000 - $55,000)) 89,500 Total production cost 201,500 Non-manufacturing overheads 56,000 Total cost 257,500 (b) (1) Free Company Income statement for the month ended 31 January 2011 (Marginal) $ Sales ($22 x 4,000) $ 88,000 Less: Variable cost of goods sold Direct material cost ($6 x 4,500) 27,000 Direct labour cost ($4 x 4,500) 18,000 Variable production overheads ($3 x 4,500) 13,500 58,500 Less: Closing inventory [58,500 / 4,500) x 500] (6,500) 52,000 Product contribution margin 36,000 Less: Variable costs: Sales commission ($2 x 4,000) (8,000) Contribution 28,000 Less: Fixed production overheads (15,120) Net profit 12,880 18 .(b) (2) Free Company Income statement for the month ended 31 January 2011 (Absorption) $ Sales ($22 x 4,000) $ 88,000 Less: Cost of goods sold Direct material cost ($6 x 4,500) 27,000 Direct labour cost ($4 x 4,500) 18,000 Variable production overheads ($3 x 4,500) 13,500 Fixed production overheads [(13,500 / 5,400) x 4,500] 11,250 69,750 Less: Closing inventory [(6 + 4 + 3 + 2.5) x 500] (7,750) 62,000 Add: Under-absorption of FPO (15,120 – 11,250) 3,870 65,870 Gross profit 22,130 Less: Sales commission ($2 x 4,000) (8,000) Net profit 14,130 (c) Statement to reconcile net profit under two costing approach $ $ Net profit under absorption costing 14,130 Less: Fixed production overhead in closing inventory (2.5 x 500) 1,250 Net profit under marginal costing 12,880 19 Question 10 Willie Company started production of Product Z on 1 January 2017. The following is the cost information for the year ended 31 December 2017: $/unit Direct material 15 Direct labour 8 Variable production overheads 6 Variable selling and administrative expenses 2 Additional information: (i) Product Z was sold at $50 per unit. (ii) The budgeted production and sales units for 2017 were both 200,000 units. (iii) The fixed production overheads were absorbed based on the number of units produced. (iv) Budgeted and actual fixed production overheads for 2017 were the same at $800,000. (v) The actual production and sales units for 2017 were 220,000 units and 180,000 units respectively. (vi) The actual selling and administrative expenses for 2017 were $120,000. (vii) Any over- or under-absorption of fixed production overheads should be adjusted in the cost of goods sold. 20 Required: (a) Prepare the income statement for the year ended 31 December 2017 using the absorption costing system. (b) Prepare a statement to reconcile the difference in net profit for the year ended 31 December 2017 between the absorption costing and marginal costing systems. (c) In addition to the difference in net profit, explain one difference between two systems. 21 (a) Willie Company Income statement for the year ended 31 December 2017 $ Sales ($50 × 180,000) $ 9,000,000 ½ Less: Cost of goods sold Direct material ($15 × 220,000) 3,300,000 ½ Direct labour ($8 × 220,000) 1,760,000 ½ Variable production overheads ($6 × 220,000) 1,320,000 ½ Fixed production overheads [$4(W1) x 220,000] 880,000 1 7,260,000 Less: Closing inventory ($7,260,000 × 40,000/220,000) 1,320,000 1 5,940,000 Less: Over-absorption fixed production overheads ($880,000 - $800,000) 80,000 1 5,860,000 Gross profit Less: Selling and administrative expenses 3,140,000 ½ 480,000 1 2,660,000 ½ ($2 × 180,000 + $120,000) Net profit (7) (W1) Predetermined fixed production overhead absorption rate = $800,000 / 200,000 = $4 22 (b) Statement to reconcile the net profit for the year ended 31 December 2017 $ Net profit under an absorption costing system Less: 2,660,000 ½ 160,000 1 2,500,000 ½ Absorption of fixed production overheads in the closing inventory ($4 × 40,000) Net profit under a marginal costing system (2) (c) Difference: – Max.2 Inventory value under an absorption costing system includes fixed and variable production costs while inventory value under a marginal costing system only includes variable production costs. – Income statement under an absorption costing system shows the gross profit of the company while the income statement under a marginal costing system shows the contribution of the company. (2 marks for each relevant difference, max. 2 marks) 11 marks 23 l Have Opening Inventory (OIFO = CIFO) Question 11 Snowball Ltd produces a single product. The company uses absorption costing but is considering adopting marginal costing instead. It wants to compare the results under these two costing systems. Fixed production overheads are absorbed at the rate of $30 per unit, based on the normal production level of 400,000 units per annum. Actual fixed production overheads were same as the budgeted production overheads.The company’s year-end date is 31 December. The following information was extracted from the books: 2018 Production Unit 380,000 Sales Unit 370,000 Cost and price data for 2017 and 2018: $ Direct materials per unit produced 34 Direct labour per unit produced 12 Variable production overheads per unit produced 9 Selling price per unit 170 24 Non-manufacturing overheads for the past two years are as follows: Variable non-manufacturing overheads $27 per unit sold Fixed non-manufacturing overheads $8,000,000 per annum As at 31 December 2018, 90,000 units of the product remained unsold. REQUIRED: (a) Calculate the unit production costs for 2018 under: (i) Absorption costing (ii) Marginal costing (b) Prepare an income statement for the year ended 31 December 2018, using: (i) Absorption costing (ii) Marginal costing (c) Reconcile the profit figure between absorption costing and marginal costing. 25 (a) (i) Unit production costs under absorption costing = $34 + $12 + $9 + $30 = $85 (ii) Unit production costs under marginal costing = $34 + $12 + $9 = $55 (b) (i) Under absorption costing: Snowball Ltd Income Statement for the year ended 31 December 2018 $000 Sales (370,000 ´ $170) Less $000 62,900 Cost of goods sold: Opening inventory (W1) Add 6,800 Cost of goods manufactured (380,000 ´ $85) 32,300 39,100 Less Closing inventory (90,000 ´ $85) 7,650 31,450 Add Under-absorption of fixed production overheads (W2) 600 Gross profit Less 32,050 30,850 Variable non-manufacturing overheads (370,000 ´ $27) 9,990 Fixed non-manufacturing overheads 8,000 Net profit 17,990 12,860 W1: Opening inventory in units = 370,000 + 90,000 - 380,000 = 80,000 units Opening inventory in value = 80,000 ´ $85 = $6,800,000 W2: Under-absorption of fixed production overheads = (400,000 - 380,000) ´ $30 = $600,000 26 (ii) Under marginal costing: Snowball Ltd Income Statement for the year ended 31 December 2018 $000 $000 Sales Less 62,900 Cost of goods sold: Opening inventory (80,000 ´ $55) Add 4,400 Cost of goods manufactured (380,000 ´ $55) 20,900 25,300 Less Closing inventory (90,000 ´ $55) 4,950 20,350 Product contribution margin 42,550 Less 9,990 Variable non-manufacturing overheads Total contribution margin Less 32,560 Fixed production overheads (400,000 ´ $30) 12,000 Fixed non-manufacturing overheads 8,000 20,000 Net profit 12,560 (c) Statement to reconcile net profit under two costing approach $ Net profit under absorption costing 12,860,000 Add: Fixed production overhead in opening inventory ($80,000 x $30) 240,000 252,860 Less: Fixed production overhead in closing inventory (90,000 x $30) 270,000 Net profit under marginal costing 12,560,000 27 Question 12 The following information is available for a firm producing and selling a single product: Budgeted costs (at normal level activity of 240,000 unit) $ Direct material and labour 264,000 Variable production overhead 48,000 Fixed production overhead 144,000 Variable selling and administration overhead 24,000 Fixed selling and administration overhead 96,000 576,000 The fixed production overhead absorption rates are based upon normal level activity per period. During the period just ended, 260,000 units of product were produced and 230,000 units were sold at $3 per unit. At the beginning of the period, 40,000 units were in stock. They were valued at the budgeted costs as shown above. Actual costs incurred were as per budget. 28 REQUIRED: (a) Prepare the absorption costing and marginal costing statement for the period. (b) Reconcile the profit figure between absorption costing and marginal costing. (c) State the situation in which the profit figures calculated under both absorption costing and marginal costing would be the same. 29 30 (b) Statement to reconcile net profit under two costing approach $ Net profit under absorption costing 145,000 Add: Fixed production overhead in opening inventory ($40,000 x $0.6) 24,000 169,000 Less: Fixed production overhead in closing inventory (70,000 x $0,6) 270,000 Net profit under marginal costing 127,000 (c) No opening inventory and closing inventory. 31 Question 13 Treasure Ltd manufactures a single product. The company's financial year ends on 31 December. Inventory as at 1 January 2009 amounted to 3,000 units, with a value of $216,000 (under absorption costing). The company incurred fixed production overheads of $798,000 in 2009. Information on unit variable costs in 2008 and 2009: $ Direct materials 15 Direct labour 22 Variable production overheads 21 2009 Production (units) 57,000 Sales (units) 59,000 Selling and administrative overheads are as follows: Variable selling and administrative expenses $19 per unit sold Fixed selling and administrative expenses $180,000 per annum The selling price of the product in 2008 and 2009 was $260 per unit. Required (a) Prepare an income statement for the year ended 31 December 2009 using marginal costing. (b) Prepare a statement to reconcile the net profit under two costing approach. (Suppose fixed production overheads are absorbed based on the units produced in absorption costing.) 32 (a) (b) FPO absorbed per unit = $798,000 / 57,000 units = $14/unit Statement to reconcile net profit under two costing approach $ Net profit under absorption costing 9,791,000 Add: Fixed production overhead in opening inventory ($216,000 - $174,000) or (3,000 units x $14) 42,000 9,833,000 Less: Fixed production overhead in closing inventory ($14 x 1,000) 14,000 Net profit under marginal costing 9,819,000 l Have Opening Inventory (OIFO =/= CIFO) *** 33 Question 14 *** Soap Company manufactures soap and sells it at $6 per unit. The company’s information for the year ended 31 December 2014 is as follows: (i) Variable production cost per unit $ (ii) Direct material 2 Direct labour 1.8 Production overheads 0.4 Direct labour is $30 per hour. (iii) On 1 January 2014, the company had 2,000 units of inventory. The total production cost was $15,500, including the variable production cost of $10,760 and the remaining fixed production overhead. (iv) Production overheads are composed of fixed and variable elements. It was the company’s policy to allocate the variable production overheads according to the number of units produced. The company adopted the predetermined overhead absorption rate to absorb the fixed production overheads into the product based on direct labour hours. The rate was $4 per direct labour hour. (v) Budgeted fixed production overhead is the same as the actual fixed production overhead. 34 (vi) In 2014, the company budgeted to produce 150,000 units of products, but 140,000 units were actually produced. The sales revenues amounted to $660,000. (vii) The sales commission of each unit of soap is 5% of the selling price. An office clerk is employed on a monthly salary of $4,000. (viii) The inventory cost is calculated with weighted average cost method. REQUIRED: (a) Prepare the income statement for the year ended 31 December 2014 using the absorption costing. (b) With reference to the net profit obtained in (a) and the net profit obtained with marginal costing, prepare a statement and adjust the differences between them. (c) State and explain one advantage of adopting marginal costing over absorption costing. 35 (a) Soap Company Income statement for the year ended 31 December 2014 (Absorption costing) $ Sales $ 660,000 Less: Cost of goods sold Opening inventory 15,500 Direct material ($2 × 140,000) 280,000 Direct labour ($1.8 × 140,000) 252,000 Production overheads - Variable ($0.16(W1) × 140,000) 22,400 - Fixed ($0.24 (W1) × 140,000) 33,600 603,500 Less: Closing inventory 136,000 [$603,500 ÷ (140,000 + 2,000) × 32,000(W2)] 467,500 Add: Under absorption of production overheads 2,400 (150,000 × $0.24(W1) – $33,600) 469,900 Gross profit 190,100 Less: Sales commission ($660,000 × 5%) 33,000 Salaries of office clerk ($4,000 × 12) 48,000 Net profit 81,000 109,100 (W1) Fixed production overhead absorbed by each unit = $4 × ($1.8 ÷ $30) = $0.24 Variable production overhead of each unit = $0.4 - $0.24 = $0.16 (W2) Closing inventory = 2,000 + 140,000 – ($660,000 ÷ $6) = 32,000 units 36 (b) Net profit reconciliation statement for the year ended 31 December 2014 $ Net profit based on absorption costing $ 109,100 Add: Fixed production overheads absorbed by opening inventory 4,740 ($15,500 – $10,760) 113,840 Less: Fixed production overheads absorbed by closing inventory - based on absorption costing - based on marginal costing 136,000 [ O.I $10,760 + VPC ($2 + $1.8 + $0.16) × 140,000] ÷ (OI 2,000 +P 140,000) × CI 32,000} (127,360) Net profit based on marginal costing (c) 8,640 105,200 Advantage: Fixed production costs are sunk costs which may not be useful in decision-making Marginal costing prevents the company from manipulating net profits through adjustments of inventory level. (2 marks for each relevant advantage, max. 2 marks) 37 Question 15 *** Peter Company produces components for other companies for the production of computers. The following is the actual cost information for the year ended 31 March 2016: Direct materials $560,000 Direct labour $660,000 Variable production overheads $640,000 Fixed production overheads $420,000 Variable selling and distribution expenses $0.3 per unit Fixed selling and distribution expenses $130,000 During the year ended 31 March 2016, the company produced 320,000 units of goods. On 1 April 2015, there were 3,000 units of inventory at $8.12 per unit in the warehouse and the total variable production cost were $20,400. On 31 March 2016, there were 4,000 units of goods. All the goods had already been sold to customers at $9 per unit. Lee Company bought bulk quantities of goods from Peter Company totaling 60,000 units, less 10% discount from Peter Company. 38 The fixed production overheads were absorbed based on the number of units produced. Budgeted fixed production overhead is $540,000 and budgeted production unit is 360,000 units. The company adopted a weighted average method to calculate the inventory cost. REQUIRED: (a) Prepare the income statement for the year ended 31 March 2016 using absorption costing. (b) Prepare a statement to reconcile the net profit calculated in (a) and the net profit under marginal costing. (c) State one non-financial factor that Peter Company would consider when buying components from suppliers. 39 Marks (a) Peter Company Income statement for the year ended 31 March 2016 $ Sales {($9 × 90% × 60,000) + [$9 × (320,000 – 60,000 – 4,000 + 3,000)]} $ 2,817,000 1 Less: Cost of goods sold Opening inventories (3,000 × $8.12) 24,360 ½ Direct materials 560,000 ½ Direct labour 660,000 ½ Variable production overheads 640,000 ½ Absorbed fixed production overheads 480,000 1 2,364,360 Less: Closing inventory ($2,364,360 ÷ 323,000 × 4,000) 29,280 ½ 2,335,080 Less: Over-absorbed fixed production overheads ($480,000 – $420,000) 60,000 ½ 2,275,080 Gross profit 542,920 Less: Selling and distribution expenses (319,000 × $0.3 + $130,000) 225,700 ½ Net profit 316,220 ½ (6) 40 (b) Statement to reconcile the net profit $ Net profit under absorption costing Add: $ 316,220 ½ 3,960 1 5,993 1 314,187 ½ Absorption of fixed production overheads in opening inventory Absorption costing 24,360 Marginal costing (20,400) Less: Absorption of fixed production overheads in closing inventory Absorption costing 29,280 Marginal costing {[OI $20,400 + VPC ($560,000 + $660,000 + 23,287 $640,000) ÷ OI and P 323,000 ´ CI 4,000] Net profit under marginal costing (3) Marks (c) Factors: Max. 2 - whether suppliers can delivery components on time - whether the quality of components from suppliers is same as self production (2 marks for each relevant factor, max. 2 marks) 11 marks 41 Question 16 ***** Ryan Limited started operation in October 2014, specialising in the production of Part Y for the production of washing machines. The company has adopted absorption costing. It has two production departments: Department A mainly uses machines for production and Department B mainly uses manual labour. The cost information for the six months ended 31 March 2015 is as follows: (i) Sales and production volume (units) October – December January – March Sales 40,000 52,000 Production 45,000 50,000 The selling price for each month is $120 per unit. (ii) Material consumed: Cost per unit ($) Material P 8 Material Q 4 (iii) Department A and Department B have to use 0.75 machine hours and 0.3 machine hours to produce a unit of Part Y respectively. (iv) Department A and Department B have to use 0.5 labour hours and 1 labour hour to produce a unit of Part Y respectively. (v) The basic wages rate for two two departments is $30 per hour. If the production hour per quarter for Department A exceeds 22,500 hours, the overtime wages rate would increase by $11 and included in the direct labour cost. 42 (vi) A royalty of $10 has to be paid for every unit produced. (vii) The predetermined overhead absorption rate for the two departments is: Department A $30 per machine hour Department B $10 per direct labour hours The normal production level is 45,000 units per quarter. The actual fixed production overheads and budgeted apportioned production overheads of the two departments are the same. (viii) The actual administrative and selling expenses are: October – December January – March $520,000 $580,000 The administrative expenses remain unchanged for the two quarters while the selling expenses varies with the sales unit. (ix) The company has adopted the weighted average cost method to calculate the cost of inventory. REQUIRED: (a) Prepare an income statement for the three months ended 31 March 2015 using the absorption costing method. (b) Prepare an income statement for the three months ended 31 March 2015 using the marginal costing method. (c) Prepare a statement to reconcile the net profit under marginal and absorption costing. 43 (a) Ryan Limited Income statement for the three months ended 31 March 2015 (Absorption costing) $ Sales (52,000 × $120) $ 6,240,000 Less: Cost of goods sold Opening inventories (W1) 497,500 Add: Cost of production (W2) 5,002,500 5,500,000 Less: Closing inventories 300,000 [($5,500,000 ÷ $55,000) × 3,000] 5,200,000 Less: Over-absorption fixed production overheads (W3) Gross profit 162,500 5,037,500 1,202,500 Less: Administrative and selling expenses 580,000 Net profit 622,500 44 (b) Ryan Limited Income statement for the three months ended 31 March 2015 (Marginal costing) $ Sales $ 6,240,000 ½ Less: Variable costs of goods sold Opening inventories [($12 + $45 + $10) × 5,000] 335,000 1 Add: Cost of production 3,377,500 1 [($12 + $10) × 50,000 + $777,500 + $1,500,000] 3,712,500 Less: Closing inventories 1 [($3,712,500 ÷ 55,000) × 3,000] 202,500 Product Contribution margin 3,510,000 2,730,000 Less: Variable selling expenses 1 [($580,000 – $520,000) ÷ ($52,000 – $40,000) ×52,000] 260,000 Total contribution margin 2,470,000 Less: Fixed costs Administrative expenses ($580,000 – $260,000) 320,000 ½ 1,012,500 ½ Production overheads - Department A ($30 × 45,000 × 0.75) - Department B ($10 × 45,000) 450,000 Net profit 1,782,500 687,500 45 ½ (W1) $ Direct materials ($8 + $4) 12 Direct labour (0.5 × $30 + 1 × $30) 45 Royalty 10 Fixed production overheads - Department A (30 × $0.75) 22.5 - Department B (10 × $1) 10 Production cost per unit 99.5 Opening inventories = $99.5 × 5,000 497,500 (W2) Cost of production (exclude direct labour) 2,725,000 [($99.5 - $45) × 50,000] Direct labour - Department A (22,500 × $30 + 2,500 × $41) 777,500 - Department B ($30 × 50,000) 1,500,000 5,002,500 (W3) Department A Absorbed (50,000× 0.75 × $30) – Actual (45,000× 0.75 × $30) 112,500 Department B Absorbed (50,000 x 1 x $10) – Actual (45,000 × 1 x $10) 50,000 Over-absorption fixed production overheads 162,500 46 (c) Statement to reconcile the net profit $ Net profit under absorption costing Add: $ 622,500 Absorption of fixed production overheads in opening inventory Absorption costing 497,500 Marginal costing 335,000 162,500 785,000 Less: Absorption of fixed production overheads in closing inventory Absorption costing 300,000 Marginal costing 202,500 Net profit under marginal costing 97,500 687,500 47 Past Paper Questions Question 17 (DSEPP Q2) 48 49 Question 18 (2012 DSE Q4) 50 51 Question 19 (2016 DSE Q3) 52 53 Question 20 (2017 DSE Q6) 54 55 Question 21 (2018 DSE Q3) 56 57 Question 22 (2019 DSE Q6) 58 59 Question 23 (2005 AL Q2(a)) 60 61 Question 24 (2011 AL Q3) 62 63 64 65