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    The difference of two numbers is 20% of the larger number. If the smaller number is 40, then find the larger number.
    Question

    The difference of two numbers is 20% of the larger number. If the smaller number is 40, then find the larger number.

    A.

    45

    B.

    60

    C.

    40

    D.

    50

    Correct option is D

    Given:

    The difference of two numbers is 20% of the larger number, if the smaller number is 40

    Calculation

    Let the large number be x

    Then x40=20x100x - 40 = \frac{20x}{100}​​

     x - x5\frac{x}{5}​ = 40

     x = 50

    Hence, x = 50

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