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    A shopkeeper marks up the price of the oil by 40% and uses a faulty machine which measures 15% less. If the shopkeeper gives a discount of 32%, the pr
    Question

    A shopkeeper marks up the price of the oil by 40% and uses a faulty machine which measures 15% less. If the shopkeeper gives a discount of 32%, the profit/loss percentage is:

    A.

    15% Loss

    B.

    25% Profit

    C.

    18% Loss

    D.

    12% Profit

    Correct option is D

    Given:
    Marks up the price of the oil = 40%
    Less measures = 15%
    Discount =32%
    Solution:
    Let the price of the oil be Rs. 100
    MP of oil = 100 ×140100\frac{140}{100}​= 140
    Shopkeeper uses a faulty machine which measures 15% less.
    Then the actual CP = 100 ×85100\frac{85}{100}​=85
    Discount will be on MP = 140 ×68100\frac{68}{100}​=95.2
    As per the question,
    Profit% = 95.28585\frac{95.2-85}{85}​ ×100
    10.285\frac{10.2}{85}​ ×100= 12%
    Alternate Method: Ratio method
    CP : SP
    100 : 140
    (100-15) = 85 : 100
    100 : (100-32) = 68
    _________________________________________________________
    100 × 85 × 100 : 140 ×100 × 68
    100 × 85 : 140 ×68
    25 : 28
    Profit% = 282525\frac{28 - 25}{25}​ ×100=12%

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