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    A shopkeeper marks his jackets at 18.8% above the cost price and allows the purchaser a discount of 12.5% for online payment. What profit percentage d
    Question

    A shopkeeper marks his jackets at 18.8% above the cost price and allows the purchaser a discount of 12.5% for online payment. What profit percentage does the shopkeeper make (correct to two places of decimals)?

    A.

    5.27%

    B.

    2.58%

    C.

    3.95%

    D.

    4.06%

    Correct option is C

    Given:

    Marked Price (MP) is 18.8% above Cost Price (CP)

    Discount allowed = 12.5%

    We are to find the profit percentage

    Formula Used:

    Profit % = (SPCPCP)×100\left(\frac{SP - CP}{CP}\right) \times 100​​

    Solution:

    Let CP = ₹100

    Then,

    MP = 100×(1+18.8100)=100×1.188 100 \times \left(1 + \frac{18.8}{100}\right) = 100 \times 1.188​ = ₹118.80

    SP = 118.80×(112.5100)=118.80×0.875 118.80 \times \left(1 - \frac{12.5}{100}\right) = 118.80 \times 0.875​ = ₹103.95

    Profit % = (103.95100100)×100\left(\frac{103.95 - 100}{100}\right) \times 100​ = 3.95%

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