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    Two numbers are, respectively. 28% and 25% less than a third number. What percent is the first number of the second number?
    Question



    Two numbers are, respectively. 28% and 25% less than a third number. What percent is the first number of the second number?

    A.

    104.16%

    B.

    90%

    C.

    92%

    D.

    96%

    Correct option is D

    Suppose that the three numbers are x, y and z respectively
    Here, x is 28% less than z. Thus,
    => x = (100 − 28)% of z
    => x = 72100\frac{72}{100}​×z = 0.72z
    Also, y is 25% less than z. Thus,
    => y = (100 − 25)% of z
    => y = 75100\frac{75}{100}​ × z = 0.75z
    So, the percent first number of the second number,

    P% = xy\frac{x}{y}​×100%

    P% = 0.72z0.75z\frac{0.72z}{0.75z} ​×100% 

    P% = 0.96×100%
    P% = 96%
    Thus, 96% is the first number of the second number.

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