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    A number, when 42 is subtracted from it, reduces to its 70%. What is two-fifth of that number?
    Question

    A number, when 42 is subtracted from it, reduces to its 70%. What is two-fifth of that number?

    A.

    140

    B.

    84

    C.

    56

    D.

    100

    Correct option is C

    Given:

    A number, when 42 is subtracted from it, reduces to its 70%.

    We need to find two-fifths of that number.

    Solution:
    Let the number be x. According to the problem, when 42 is subtracted from x, the result is 70% of x.

    x - 42 = 0.70x

    x - 0.70x = 42

    0.30x = 42

    x =420.30=140 \frac{42}{0.30} = 140

    25×140=2805=56\frac{2}{5} \times 140 = \frac{280}{5} = 56

    Two-fifths of the number is 56.

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