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    A woman sells 78 pencils and gets a profit equal to the selling price of 13 pencils. Her profit percentage is:
    Question

    A woman sells 78 pencils and gets a profit equal to the selling price of 13 pencils. Her profit percentage is:

    A.

    17

    B.

    9

    C.

    20

    D.

    19

    Correct option is C

    Given:

    Number of pencils sold = 78
    Profit = Selling Price of 13 pencils

    Formula Used:

    Profit % =(ProfitCost Price)×100 \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100

    Solution:

    Let the Selling Price (SP) of 1 pencil = ₹1
    Then,
    Total SP of 78 pencils = ₹78
    Profit = ₹13
    So, Cost Price (CP) = SP - Profit = ₹78 - ₹13 = ₹65

    Now,

    Profit % = (1365)×100\left( \frac{13}{65} \right) \times 100

    Profit % = 20%

    Alternate Method:

    Profit = 13 SP

    CP = 78 SP - 13 SP = 65 SP

    Profit % =(13SP65SP)×100\left( \frac{13 SP}{65SP} \right) \times 100 = 20%

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