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CALCULATIONS notes

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1.1.
CALCULATIONS
Cost of sales – A cost/expense incurred in selling the product
CALCULATION OF COST OF SALES
Cost of sales = Sales x Cost (100)
Cost (100) + mark-up
Cost of sales is always equal to 100%
NB: When calculating cost of sales mark-up% is
below!
EXAMPLE: The percentage mark-up is 25% on the cost price. Then you accept that the Cost price is
100%. Calculate the cost of sales if the profit mark-up is 25% and the selling price is R3 000.
GP
= 25 %
CP
= 100 %
SP
= 125%
IT IS ALWAYS THE UNKNOWN DIVIDED BY THE KNOWN (THE UK METHOD)
CREMORA METHOD… What you are looking for IS ON TOP
ANSWER:
3 000 X 100
100+25
= R2 400
GDE | MGSLG – EMS GRADE 9 FINANCIAL LITERACY
1
*33β…“ = 3 x 33 = 99 + 1 = 100 = 33,333333333
3
*66β…” = 3 x 66 = 198 + 2 = 200 = 66,666666666
3
GDE | MGSLG – EMS GRADE 9 FINANCIAL LITERACY
2
EXAMPLE
No
Cost
Price
Profit Mark
Up (%)
Selling Price
1
R18 000
33β…“
?
CALCULATIONS
4
18 000
𝑋 1 =
3
𝑅24 000
Check the calculations
below
2
?
66β…”
R15 000
3
15 000
𝑋 1 =
5
3
R9 000
?
R15 000
15 000 – 9 000 = R6000(Gross profit)
𝑅9 000 Check the calculations below
6 000 x 100 = 66β…”
9 000
CALCULATIONS
CALCULATIONS
Cost =100
Cost =100
Mark – up =33β…“
Mark – up =66 β…”
Selling price =133β…“
Selling price =166 β…”
To calculate the selling price our formula/calculations
πŸπŸ‘πŸ‘β…“
πŸπŸ‘πŸ‘β…“
are:
𝒙 πŸπŸ– 𝟎𝟎𝟎 (We need to simplify
)
𝟏𝟎𝟎
𝟏𝟎𝟎
πŸ’πŸŽπŸŽ
133β…“ is the same as πŸ‘
Cost of sales is :
𝟏𝟎𝟎
= πŸπŸ”πŸ”β…” 𝒙 πŸπŸ“ 𝟎𝟎𝟎
(πŸπŸ‘πŸ‘ 𝒙 πŸ‘ +𝟏)
πŸ‘
Our
formula
πŸ’πŸŽπŸŽ
𝟏𝟎𝟎
÷
= π’Š. 𝒆 𝒔𝒂𝒍𝒆𝒔 π’…π’Šπ’—π’Šπ’…π’†π’… π’ƒπ’š 𝒄𝒐𝒔𝒕 (π’–π’Œ 𝒓𝒖𝒍𝒆)
πŸ‘
𝟏
𝟏𝟎𝟎 πŸ“πŸŽπŸŽ
÷
𝒙 πŸπŸ“ 𝟎𝟎𝟎
𝟏
πŸ‘
πŸ’πŸŽπŸŽ
πŸ’
𝟏𝟎𝟎
πŸ‘
𝟏
πŸ‘
𝐗
𝟏
𝟏𝟎𝟎
=
πŸ’πŸŽπŸŽ
πŸ‘πŸŽπŸŽ
OR
100 has changed to a denominator and the sign
changed to multiplication
πŸ‘
πŸ“
𝒙
πŸ‘
πŸ“πŸŽπŸŽ
𝒙 πŸπŸ“ 𝟎𝟎𝟎
𝒙 πŸπŸ“ 𝟎𝟎𝟎 = 9 000
GDE | MGSLG – EMS GRADE 9 FINANCIAL LITERACY
3
To calculate the cost of sales :
𝟏𝟎𝟎
πŸπŸ‘πŸ‘β…“
OR
𝟏𝟎𝟎
πŸ‘
𝟏
𝒙
πŸ’πŸŽπŸŽ
=
𝟏𝟎𝟎
𝟏
πŸ’πŸŽπŸŽ
÷ πŸ‘ (Note ,this is a denominator )
πŸ“
πŸ‘
𝒕𝒐 𝒄𝒂𝒍𝒄𝒖𝒍𝒂𝒕𝒆 𝑺𝒂𝒍𝒆𝒔 𝒂𝒏𝒅
𝒇𝒐𝒓 π‘ͺ𝒐𝒔𝒕 𝒐𝒇 𝑺𝒂𝒍𝒆𝒔
πŸ‘
πŸ“
You can follow the steps reflected in adjacent
workings
πŸ‘
πŸ’
πŸ’
πŸ‘
𝒕𝒐 𝒄𝒂𝒍𝒄𝒖𝒍𝒂𝒕𝒆 𝑺𝒂𝒍𝒆𝒔 𝒂𝒏𝒅
𝒇𝒐𝒓 π‘ͺ𝒐𝒔𝒕 𝒐𝒇 𝑺𝒂𝒍𝒆𝒔
πŸ‘
πŸ’
1.6 Activity: Calculations of cost of sales
Important note when calculating cost of sales
20% use 5/6
25% use 4/5
33β…“% use ¾
66β…” use 3/5
Table 1.2: Calculate the Cost of sales in each of the following and show your calculations:
No.
Sales
Mark-up%
1
R400
25%
2
R250
25%
3
R350
40%
4
R200
60%
Calculations
Cost of sales
GDE | MGSLG – EMS GRADE 9 FINANCIAL LITERACY
4
5
R360
33β…“%
6
R500
100%
7
R2 800
35%
8
R1 200
20%
9
R3 500
40%
10
R4 800
50%
1.2.
Prior Knowledge
WHAT DO YOU UNDRETSAND BY THE TERM SALES/SELLING
PRICE?
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GDE | MGSLG – EMS GRADE 9 FINANCIAL LITERACY
5
CALCULATIONS OF SALES
Sales – money received from goods sold. Goods are sold at cost plus mark-up %.
Sales = Cost of sales x Cost (100) + mark-up
Cost (100)
NB: When calculating sales mark-up% is Above!
EXAMPLE: The percentage markup is 50% on the cost price. Then you accept that the
Cost price is 100 %. Calculate the selling price if the profit mark-up is 50 % and the
Cost price is R3 000.
GP
=
50 %
CP
= 100 %
SP
= 150 %
IT IS ALWAYS THE UNKNOWN DIVIDED BY THE KNOWN (UK METHOD)
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1.7 Activity: Calculations of sales
Table 1.3: Calculate Sales in each of the following and show your calculations:
GDE | MGSLG – EMS GRADE 9 FINANCIAL LITERACY
6
No.
Cost Price
Markup%
1
R450
20%
2
R175
20%
3
R280
40%
4
R240
33β…“%
5
R75
66β…”%
6
R720
10%
7
R800
15%
8
R990
30%
9
R600
35%
10
R500
45%
Calculations
Sales
GDE | MGSLG – EMS GRADE 9 FINANCIAL LITERACY
7
1.3.
Prior Knowledge
WHAT DOES THE TERM PROFIT MEAN?
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CALCULATIONS OF PROFIT MARK-UP PERCENTAGE
Profit Mark up % is the profit made after selling the goods. Take the selling price
subract cost pricce
Selling price – Cost price = Profit
Profit percentage = Profit /Cost PriceXCost Price
EXAMPLE: If the Selling price is R10 000 and the Cost Price is R8 000, then calculate
the profit mark-up.
Selling price – Cost price = Profit; Divide Profit by Cost price x 100
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GDE | MGSLG – EMS GRADE 9 FINANCIAL LITERACY
8
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1.8 CALCULATION OF PROFIT MARK-UP/PROFIT PERCENTAGE
Table 1.4: Calculate Profit made in each of the following:
Mark-up%
Calculations
No.
Cost Price
Sales
1
R1 000
R1 100
2
R1 150
R1 380
3
R4 000
R5 000
4
R3 310
R4 600
5
R3 450
R3 783
6
R885
R1 475
7
R2 750
R5 500
GDE | MGSLG – EMS GRADE 9 FINANCIAL LITERACY
9
8
R6 200
R8 680
9
R7 500
R 10 875
10
R7 500
R12 475
GDE | MGSLG – EMS GRADE 9 FINANCIAL LITERACY
10
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