Chapter 15 Calculations and Applications Do calculations on scrap paper as needed. Worked-out solutions are provided at end. 1. From the following calculate by the weighted-average method (a) the cost of ending inventory, and (b) the cost of goods sold. Ending inventory shows 18 units. Number Purchased Cost for resale per unit Total January 1 inventory 12 $2 $24 March 1 9 $3 $27 April 1 20 $4 $80 November 1 15 $5 $75 2. Rework No. 1 using the FIFO assumption. 3. Rework No. 1 using the LIFO assumption. 4. Bill's Dress Shop's inventory at cost on January 1 was $32,500. Its retail value is $50,000. During the year, Bill purchased additional merchandise at a cost of $170,000 with a retail value of $366,000. The net sales at retail for the year were $345,000. Calculate Bill's inventory at cost by the retail method. Round the cost ratio to the nearest whole percent. 5. On January 1, Font Company had inventory costing $65,000 and during January had net purchases of $118,000. Over recent years, Font's gross profit has averaged 45% on sales. Given that the company has net sales of $190,000, calculate the estimated cost of ending inventory using the gross profit method. Calculations/Applications: 1. a. $66.24 b. $139.76 2. a. $87 b. $119 3. a. $42 b. $164 4. $34,790 5. $78,500 Worked-Out Solutions 1. $24 + $27 + $80 + $75 = $206 56 = $3.68 18 × $3.68 = $66.24 cost of ending inventory $206- $66.24 = $139.76 cost of goods sold 2. 15 × $5 = $75 3 × $4 = 12 $87 cost of ending inventory $206 - $87 = $119 cost of goods sold 3. 12 × $2 = $24 6 × $3 = 18 $42 cost of ending inventory $206 - $42 = $164 cost of goods sold 4. Cost Beginning inventory Purchases Cost of goods available for sale Less net sales for the year Ending inventory at retail Cost ratio $202,500 $416,000 = 49% Ending inventory at cost $ 32,500 170,000 $202,500 Retail $ 50,000 366,000 $416,000 345,000 $ 71,000 49% $ 34,790 5. Cost Inventory, January 1 Net purchases Cost of goods available for sale Less net sales for the year Less: Estimated cost of goods sold: Net sales at retail Cost percentage (100% -45%) Estimated cost of goods sold Estimated inventory, January 31 Retail $ 65,000 118.000 $183,000 $190,000 .55 $104,500 $ 78,500