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Merchant Profit with Stolen Consignment

CMAT 2025 · Quantitative Techniques & Data Interpretation · Hard · Quantitative Aptitude

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A merchant earns 25% profit in general. Once his 25% consignment was abducted forever by some thieves. Trying to compensate for his loss he sold the rest of his consignment by increasing his selling price by 20%. What is the new percentage profit or loss?

  1. A.

    10% loss

  2. B.

    12.5% loss

  3. C.

    12.5% profit

  4. D.

    10% profit

Answer

C

Explanation

Let total cost price of 100 items =₹100= ₹100. Normal SP of 1 item =1.25= 1.25.

25 items stolen, so 75 items left. New SP per item =1.25×1.20=₹1.50= 1.25 \times 1.20 = ₹1.50. Total SP of 75 items =75×1.50=₹112.50= 75 \times 1.50 = ₹112.50.

Profit =112.50−100=₹12.50= 112.50 - 100 = ₹12.50. Profit percentage =12.5%= 12.5\% profit.

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