Question 1 Report
If sales is D 12,000, and the gross profit markup percentage is 25%. What is the cost of sales?
A gross profit markup is always calculated as a percentage of cost, not of selling price. This means selling price equals cost plus the markup percentage applied to cost.
Letting the cost of sales be \( C \), the relationship is:
\[ \text{Sales} = C + 0.25C = 1.25C \]Substituting the given sales figure:
\[ 12{,}000 = 1.25C \] \[ C = \frac{12{,}000}{1.25} = 9{,}600 \]So the cost of sales is D 9,600, and the gross profit on this sale is \( 12{,}000 - 9{,}600 = 2{,}400 \), which checks out as 25% of the D 9,600 cost, confirming the markup was applied correctly.
A common mistake is to calculate 25% of the sales figure directly (giving D 3,000 or D 9,000) as if markup were a margin on selling price. Remember: markup is a percentage of cost, while margin (gross profit percentage on sales) is a percentage of selling price; always check which one a question specifies before dividing or multiplying.
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