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    Ketan sold 151 chairs and had a gain equal to the selling price of 51 chairs. What is his profit percentage?
    Question

    Ketan sold 151 chairs and had a gain equal to the selling price of 51 chairs. What is his profit percentage?

    A.

    56%

    B.

    46%

    C.

    61%

    D.

    51%

    Correct option is D

    Given:

    Ketan sold 151 chairs.

    His gain is equal to the selling price of 51 chairs.

    Formula Used:

    Profit Percentage =  (ProfitCost Price)×100(\frac{Profit }{ Cost \ Price}) × 100​​

    Solution:

    Let the selling price of one chair be ₹SP.

    Total selling price = 151 × ₹SP = ₹151SP.

    Gain = Selling price of 51 chairs = ₹51SP.

    Cost Price = Selling Price - Gain

    Cost Price = ₹151SP - ₹51SP = ₹100SP.

    Profit Percentage = (51SP100SP)×100=51%(\frac{₹51SP }{ ₹100SP}) × 100 = 51 \%​​

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