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    If 40% of a number is added to 960, the result is the same number. Find 40% of that number.
    Question

    If 40% of a number is added to 960, the result is the same number. Find 40% of that number.

    A.

    960

    B.

    660

    C.

    640

    D.

    1600

    Correct option is C

    Given:
    40% of a number is added to 960, and the result is the same number.

    Solution:

    Let the number be x.

    x × 40100\frac{40}{100} + 960 = x

    0.4x + 960 = x

    960 = x − 0.40x

    960 = 0.60x

    x = 9600.60\frac{960}{0.60}​​

    x = 1600

    The number is 1600.

    Now, find 40% of x:

    = 0.40×16000.40 \times 1600

    = 640

    So, 40% of the number is 640.

    Thus, the correct answer is (c).

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