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    Question

    The income of Tanu and Manu is in the ratio of 6:5. Tanu

    saves 20% of her income. Manu’s expenditure is 90% of Tanu’s expenditure. If the difference between their savings is Rs. 9,000, find Manu’s income.
    A Rs.86,540 Correct Answer Incorrect Answer
    B Rs.24,400 Correct Answer Incorrect Answer
    C Rs.18,400 Correct Answer Incorrect Answer
    D Rs.38,200 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let incomes be Rs. 6x and Rs. 5x.

    Savings of Tanu = 6x × 0.2 = Rs. 1.2x

    Expenditure of Tanu = 6x - 1.2x = Rs. 4.8x

    Expenditure of Manu = 4.8x × 0.9 = Rs. 4.32x

    Savings of Manu = 5x - 4.32x = Rs. 0.68x

    ATQ,

    (1.2x - 0.68x) = 9,000

    ⇒ 0.52x = 9,000

    ⇒ x = 17,308

    Income of Manu = 5x = Rs. 86,540

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