A man bought 400 metres of cloth for a total of Rs. 40,000 and sold it at the…

2024

A man bought 400 metres of cloth for a total of Rs. 40,000 and sold it at the rate of Rs. 200 per one and a half metres. What was his percentage profit or loss?

  1. A.

    36% profit

  2. B.

    25% loss

  3. C.

    33.33% profit

  4. D.

    27% loss

Attempted by 2 students.

Show answer & explanation

Correct answer: C

Concept: The percentage profit or loss on a transaction is found by comparing the selling price of a given quantity with the cost price of the SAME quantity, using Profit % = (Selling Price − Cost Price) / Cost Price × 100. So the cost price and selling price must first be expressed for the same length of cloth.

  1. Cost price per metre = Total cost ÷ Total length = Rs. 40,000 ÷ 400 = Rs. 100 per metre.

  2. Cost price of 1.5 metres = Rs. 100 × 1.5 = Rs. 150.

  3. Selling price of the same 1.5 metres is given directly as Rs. 200.

  4. Profit on 1.5 metres = Selling Price − Cost Price = Rs. 200 − Rs. 150 = Rs. 50.

  5. Profit percentage = (Profit ÷ Cost Price) × 100 = (50 ÷ 150) × 100 = 33.33%.

Cross-check: The selling rate works out to Rs. 200 ÷ 1.5 = Rs. 133.33 per metre, against a cost rate of Rs. 100 per metre — the same margin of profit, confirming the result.

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