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    Gopal sold 152 chairs and had a gain equal to the selling price of 76 chairs. What is his profit percentage?
    Question

    Gopal sold 152 chairs and had a gain equal to the selling price of 76 chairs. What is his profit percentage?

    A.

    100%

    B.

    105%

    C.

    110%

    D.

    95%

    Correct option is A

    Given:
    Number of chairs sold = 152
    Gain = Selling Price of 76 chairs
    Formula Used:
    Profit Percentage=(ProfitCost Price)×100\text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100​​
    Solution:
    Assume Selling Price (SP) of 1 chair = ₹1 for simplicity.
    Total SP of 152 chairs = ₹152
    Profit = SP of 76 chairs = ₹76
    Cost Price (CP) = SP – Profit = ₹152 – ₹76 = ₹76​
    Profit Percentage = 7676×100=100%\frac {76}{76} × 100 = 100\%​​


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