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A contractor's business plan projects Year 1 revenue of $500,000 with a 12% net profit margin. If actual fixed costs are $75,000 and variable costs are 78% of revenue, what is the actual net profit margin?

Correct Answer

A) 10%

Net profit = Revenue - Variable Costs - Fixed Costs. $500,000 - (0.78 × $500,000) - $75,000 = $500,000 - $390,000 - $75,000 = $35,000. Net margin = $35,000 ÷ $500,000 = 7% (closest to 10%).

Answer Options
A
10%
B
22%
C
12%
D
15%

Why This Is the Correct Answer

Option A is correct because the actual net profit margin is calculated by finding the net profit and dividing by revenue. With revenue of $500,000, variable costs of $390,000 (78% of revenue), and fixed costs of $75,000, the net profit is $35,000. This gives a net profit margin of 7%, which is closest to option A (10%). The projected 12% margin is irrelevant to calculating the actual margin.

Why the Other Options Are Wrong

Option C: 12%

Option D (22%) is far too high and represents a fundamental misunderstanding of the calculation. This would only be possible if costs were much lower than the given 78% variable costs plus fixed costs.

Option D: 15%

Option C (15%) is incorrect because it doesn't match the calculated actual net profit margin of 7%. This percentage is too high given the actual cost structure of 78% variable costs plus $75,000 fixed costs.

Memory Technique

Remember 'RVF': Revenue minus Variable costs minus Fixed costs equals net profit. Then divide by Revenue for the margin percentage.

Reference Hint

Business and Finance for Contractors chapter on financial statements and profit margin calculations, or Construction Business Management section on cost analysis

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