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    To make a profit of 27%, the selling price of a an item is ₹381. The cost price of the item is:
    Question

    To make a profit of 27%, the selling price of a an item is ₹381. The cost price of the item is:

    A.

    ₹354

    B.

    ₹313

    C.

    ₹300

    D.

    ₹327

    Correct option is C

    Given:

    Profit % = 27%

    Selling Price (SP) = ₹381

    Need: Cost Price (CP)

    Formula Used:

    SP = CP×(1+Profit%100) \times \left(1 + \frac{Profit\%}{100}\right)

    So,

    CP =SP1+Profit%100= \frac{SP}{1 + \frac{Profit\%}{100}}

    Solution:

    CP =3811+27100= \frac{381}{1 + \frac{27}{100}}

    CP =3811.27=300= \frac{381}{1.27} = 300

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