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    Rodney sold 153 chairs and had a gain equal to the selling price of 63 chairs. What is his profit percentage?
    Question

    Rodney sold 153 chairs and had a gain equal to the selling price of 63 chairs. What is his profit percentage?

    A.

    80%

    B.

    75%

    C.

    70%

    D.

    65%

    Correct option is C

    Given:

    Rodney sold 153 chairs, and his total gain equals the selling price of 63 chairs.

    Formula Used:

    Profit % = ProfitCost Price×100\frac{\text{Profit}}{\text{Cost Price}} \times 100​​

    Solution:

    Let the selling price (SP) per chair = 1 unit

    Therefore, the total selling price for 153 chairs = 153 units

    The total profit is equal to the selling price of 63 chairs = 63 units

    Cost Price = 153 - 63 = 90 units

    Profit % = (6390)×100=70%\left( \frac{63}{90} \right) \times 100 = 70\%​​

    Thus, Rodney's profit percentage is 70%

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