False Weight Profit Percentage

CMAT 2021 · Quantitative Techniques & Data Interpretation · Medium · Profit and Loss

A shopkeeper claims to sell rice at cost price. He uses a false weight with the intention of selling rice at 25% profit. After selling Rice to a customer, he realizes that the customer has paid 10% less than what he should have paid. What is the actual profit percentage made by the shopkeeper?

  1. A.

    6.25%

  2. B.

    10%

  3. C.

    12.5%

  4. D.

    15%

Answer

C

Explanation

To make 25% profit, cost of quantity given is 800 for nominal 1000 price. Customer pays 10% less than 1000, so customer pays 900. Actual CP = 800, Actual SP = 900. Actual profit % = 900−800800×100=12.5%\frac{900 - 800}{800} \times 100 = 12.5\%.

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