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    The cost price of an item is one-fourth of its selling price. What is the gain or loss percentage on that item?
    Question

    The cost price of an item is one-fourth of its selling price. What is the gain or loss percentage on that item?

    A.

    Gain of 300%

    B.

    Loss of 100%

    C.

    Gain of 100%

    D.

    Loss of 300%

    Correct option is A

    Given:

    Cost Price of an item = one-fourth of Selling Price

    Formula Used:

    Profit = Selling Price - Cost Price

    Profit Percentage =ProfitCost Price×100= \frac{Profit}{Cost\ Price} \times 100​​

    Solution:

    Let the selling Price be 4x

    Then Cost Price =14of4x=x \frac{1}{4} of 4x = x​​

    Profit = 4x -x = 3x

    Profit Percentage =3xx×100=300% \frac{3x}{x} \times 100 = 300\%​​

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