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Dishonest Dealer Profit Percentage

CMAT 2024 · Quantitative Techniques & Data Interpretation · Medium · Profit and Loss

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A dishonest dealer sells his goods at 10 % loss on cost price and uses 30 % less weight. What is his profit or loss percentage ?

  1. A.

    2847%28\frac{4}{7}\% loss

  2. B.

    2837%28\frac{3}{7}\% profit

  3. C.

    2837%28\frac{3}{7}\% loss

  4. D.

    2847%28\frac{4}{7}\% profit

Answer

D

Explanation

Let actual CP of 1000g be ₹1000. Due to 30% less weight, he sells 700g. CP of 700g = ₹700. SP of 700g (at 10% loss on nominal CP) = ₹900. Profit = 900−700=₹200900 - 700 = ₹200. Profit percentage = 200700×100%=2007%=2847%\frac{200}{700} \times 100\% = \frac{200}{7}\% = 28\frac{4}{7}\% profit.

Hence, Option D is correct.

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