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    The total income of three families is Rs. 72,000. Their expenditures are 80%, 85% and 75%, respectively. If the savings are in the ratio 8 : 9 : 20, t
    Question

    The total income of three families is Rs. 72,000. Their expenditures are 80%, 85% and 75%, respectively. If the savings are in the ratio 8 : 9 : 20, then the income of the second family is:

    A.

    Rs. 32,000

    B.

    Rs. 16,000

    C.

    Rs. 40,000

    D.

    Rs. 24,000

    Correct option is D

    Given:
    The total income of three families =Rs. 72,000
    Their expenditures are 80%, 85% and 75%, respectively
    Ratio of savings are in ratio = 8:9:20
    Solution:
    Let the salary of first family be 100
    The ratio of their savings is 8x:9x:20x
    so first family’s savings is
    100-80=20%
    20%=8x
    100%=40x
    Let the salary of second family be 100
    so second family’s savings is
    100-85=15%
    15%=9x
    100%=60x
    Let the salary of third family be 100
    so third family’s savings is
    100-75=25%
    25%=20x
    100%=80x
    The ratio of their salary is
    40x:60x:80x = 2x:3x:4x
    2x+3x+4x=72000
    9x=72000
    x=8000
    The income of second family is 3x =24000

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