Difficulty: Medium
Correct Answer: 15.5%
Explanation:
Introduction / Context:
In profit and loss problems, total cost price (CP) includes every expense such as purchase cost, transport, and making charges. Total selling price (SP) equals quantity sold multiplied by selling price per unit. Profit percent is computed on CP.
Given Data / Assumptions:
Concept / Approach:
Compute CP as the sum of all costs. Compute SP as units * unit price. Profit = SP - CP. Profit% = (Profit / CP) * 100.
Step-by-Step Solution:
CP = 7200 + 200 + 600 = 8000SP = 330 * 28 = 9240Profit = 9240 - 8000 = 1240Profit% = (1240 / 8000) * 100 = 15.5%
Verification / Alternative check:
Check arithmetic: 33 * 28 = 924; therefore 330 * 28 = 9240, consistent. CP components clearly sum to 8000.
Why Other Options Are Wrong:
40% and 60% are much larger than 1240/8000. 12% underestimates the ratio. “None” is incorrect because 15.5% matches computation.
Common Pitfalls:
Ignoring transport or making charges, or dividing by SP instead of CP.
Final Answer:
15.5%
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