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    If the selling price of a bed is 2-times of initial, then the profit is 10-times of initial. Find the initial profit percentage (in %).
    Question

    If the selling price of a bed is 2-times of initial, then the profit is 10-times of initial. Find the initial profit percentage (in %).

    A.

    400

    B.

    20

    C.

    12.5

    D.

    500

    Correct option is C

    Given:

    New profit = 10× \times​ initial profit

    Formula Used:

    Profit = SP - CP

    Profit % =ProfitCP×100 \dfrac{\text{Profit}}{\text{CP}} \times 100​​

    Solution:

    Initial selling price = S, cost price = C

    Initial Profit = S - C

    New selling price = 2S

    New profit = 2S - C.

    Given 2S - C = 10(S - C).
    2S - C = 10S - 10C 

    -8S + 9C = 0 ​​

    S =98 \frac{9}{8}​C 
    Initial profit = S - C = 98CC=18C\frac{9}{8}C - C = \frac{1}{8}C ​

    Initial profit %=18CC×100=12.5%\text{Initial profit \%} = \frac{\frac{1}{8}C}{C}\times 100 = 12.5\% ​

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