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Discussion :: Ratio and Proportion

  1. The ratio of income of Pervez, Sunny, and Ashu is 3: 7: 4 and the ratio of their expenditure is 4: 3: 5 respectively. If Pervez saves Rs 300 out of 2400, find the savings of Ashu.

  2. A.
    570
    B.
    560
    C.
    565
    D.
    575

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    Answer : Option D

    Explanation :

    ATQ, income ratio of Pervez: Sunny: Ashu = 3: 7: 4
    Let the income of Pervez: Sunny: Ashu = 3x, 7x, 4x
    The income of Pervez = 3x = 2400 (given in the question)
    That means x = 2400/3 = 800
    Now, the income of Sunny = 7x = 7*800 = 5600
    Similarly the income of Ashu = 4x = 4*800 = 3200

    Now,
    Their expenditure is in the ratio of 4: 3: 5
    So, let their expenditure is 4y, 3y, 5y
    The expenditure of Pervez = income of Pervez - saving of Pervez
    Or, expenditure of Pervez = 4y = 2400-300 = 2100
    Or, y = 2100/4 = 525
    Here 4y comes from expenditure's ratio
    Similarly, the expenditure of Sunny = 3y = 3* 525 = 1575
    The expenditure of Ashu = 5y = 5*525 = 2625

    Saving's of Ashu = Income of Ashu - Expenditure of Ashu
    Saving's of Ashu = 3200- 2625 = 575


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