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    The marked price of a shirt is twice of the cost price. To earn a gain of 20 percent, what should be the discount percentage?
    Question

    The marked price of a shirt is twice of the cost price. To earn a gain of 20 percent, what should be the discount percentage?

    A.

    40 percent

    B.

    37 percent

    C.

    47 percent

    D.

    45 percent

    Correct option is A

    Given:
    Marked Price(MP) = 2 times Cost price(CP) 
    Formula Used: 

    Profit % = SPCPCP×100\frac{SP - CP}{CP} \times 100  

    Discount% = MPSPMP×100\frac{MP-SP}{MP}\times 100 

    Solution:
    Let the CP be 100.
    Now, to gain 20% 
    SP = 120 
    As we know MP = 2 ×\times CP = 200
    Discount % = 200120200×100=80200×100=40%\frac{ 200 - 120}{200} \times 100 = \frac{80}{200}\times100 = 40\% 
    Thus, Discount% = 40 %

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