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    A man buys a cycle for ₹1600 and sells it at a loss of 20%. What is the selling price of the cycle?
    Question

    A man buys a cycle for ₹1600 and sells it at a loss of 20%. What is the selling price of the cycle?

    A.

    ₹1330

    B.

    ₹1280

    C.

    ₹1120

    D.

    ₹1060

    Correct option is B

    Given:
    Cost Price of the cycle = ₹1600
    Loss Percentage = 20%

    Formula Used:

    Selling Price = Cost Price ×(1Loss %100)\times \left(1 - \frac{\text{Loss \%}}{100} \right)

    Solution:

    Selling Price = 1600×(120100)1600 \times \left(1 - \frac{20}{100} \right)

    1600×(10020100)1600 \times \left(\frac{100-20}{100} \right)

    1600×(80100)1600 \times \left(\frac{80}{100} \right)

    = 16 ×\times 80

     = 1280

    So, the selling price of the cycle is ₹1280.

    Thus, the correct answer is (b).

    Alternative Method;

    CP : SP

    5x : 4x

    5x = 1600

    x = 16005\frac{1600}{5}

    x = 320

    SP = 4x = 40 ×\times​ 320 = 1280

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