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Discussion :: Ratio and Proportion

  1. The ratio of the expenditure of Pervez, Sunny, and Ashu are 16: 12: 9 respectively and their savings are 20%, 25%, 40% of their income. The sum of the income is Rs 1530, find Sunny's salary.

    2. A.
    200
    B.
    480
    C.
    300
    D.
    420

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    Answer : Option B

    Explanation :

    Let the income of Pervez = x, then the saving = 20x/100
    Income of Sunny = y, then the saving = 25y/100
    Income of Ashu = z, then the saving = 40z/100

    Apply formula

    Income - saving = Expenditure

    x- 20x/100 = 16
    Or, 80x=1600
    Or, x = 20

    y - 25y/ 100 = 12
    Or, 75y/100 = 12
    Or, y = 1200/75 = 16

    z - 40z/ 100 = 9
    Or, 60z/100 = 9
    Or, z =15

    Now, the ratio of Pervez: Sunny: Ashu = 20: 16: 15 = 51
    But ATQ, it is 1530
    When 51 is multiplied with 30, we get 1530
    So, Sunny's salary = 16* 30 = 480.

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