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    Rakesh sold 150 chairs and had a gain equal to the selling price of 75 chairs. What is his profit percentage?
    Question

    Rakesh sold 150 chairs and had a gain equal to the selling price of 75 chairs. What is his profit percentage?

    A.

    110%

    B.

    95%

    C.

    100%

    D.

    105%

    Correct option is C

    Given:
    Number of chairs sold = 150
    Gain = Selling Price of 75 chairs
    Formula Used:
    Profit Percentage=(ProfitCost Price)×100\text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100​​
    Solution:
    Let the Selling Price (SP) of 1 chair be ₹1
    Total SP of 150 chairs = ₹150
    Gain = SP of 75 chairs = ₹75
    So, Cost Price (CP) = SP – Gain = 150 – 75 = ₹75
    Profit Percentage = (7575)×100=100%\left( \frac{75}{75} \right) \times 100 = 100\%

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