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    Kanchan sold 153 chairs and had a gain equal to the selling price of 78 chairs. What is his profit percentage?
    Question

    Kanchan sold 153 chairs and had a gain equal to the selling price of 78 chairs. What is his profit percentage?

    A.

    104%

    B.

    114%

    C.

    109%

    D.

    99%

    Correct option is A

    Given:

    Number of chairs sold = 153
    Gain = Selling Price of 78 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 154 chairs = ₹153
    Gain = SP of 54 chairs = ₹78
    So, Cost Price (CP) = SP – Gain = 153 – 78 = ₹75
    Profit Percentage = (7875)×100=104%\left( \frac{78}{75} \right) \times 100 = 104\%

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