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    The monthly incomes of two friends Chetan and Vipul, are in the ratio 5 : 7 respectively and each of them saves ₹96000 every month. If the ratio
    Question

    The monthly incomes of two friends Chetan and Vipul, are in the ratio 5 : 7 respectively and each of them saves ₹96000 every month. If the ratio of their monthly expenditure is 2 : 4, find the monthly income of Chetan(in ₹).

    A.

    224000

    B.

    160000

    C.

    161000

    D.

    159000

    Correct option is B

    Given:

    Income ratio (Chetan : Vipul) = 5 : 7
    Expenditure ratio = 2 : 4
    Each saves = ₹96,000

    Formula Used:
    Income = Expenditure + Savings

    Solution:

    Let incomes = 5x, 7x and expenditures = 2y, 4y.
    For Chetan: 5x − 2y = 96,000
    For Vipul: 7x − 4y = 96,000

    Subtract

    2x − 2y = 0

    x = y.
    Then 5x − 2x = 96,000

    3x = 96,000

    x = 32,000
    Chetan’s income = 5x = 5 × 32,000 = ₹1,60,000

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