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Q133 (IAS/1998) Economy › Basic Concepts & National Income › Percentages and profit-loss Answer Verified

A man purchases two clocks A and B at a total cost of Rs. 650. He sells A with 20% profit and B at a loss of 25% and gets the same selling price for both the clocks. What are the purchasing prices of A and B respectively ?

Result
Your answer: —  Â·  Correct: B
Explanation

Let the cost price (CP) of A be x and of B be 650 - x. Since A is sold at 20% profit and B at 25% loss, their common selling price (SP) satisfies 1.20x = 0.75(650 - x) . Solving gives 1.95x = 487.5, so x = 250. Hence CP of A = Rs. 250 and CP of B = Rs. 400. The common selling price is SP = 1.2 × 250 = Rs. 300, matching the worked result cited in the context . Therefore option 2 is correct.

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