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    Question

    The ratio of the income and savings of Anya is 9:4,

    respectively. If her expenditure increases by an amount which is equal to 40% of her initial savings and her income increases by Rs. 2,400, then her savings will remain the same. Find her initial income.
    A Rs.16000 Correct Answer Incorrect Answer
    B Rs.17200 Correct Answer Incorrect Answer
    C Rs.18000 Correct Answer Incorrect Answer
    D Rs.13500 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the income and saving of Anya be Rs. '9x' and Rs. '4x', respectively. So, her expenditure = 9x - 4x = Rs. '5x' Her new expenditure = 5x + 0.4 × 4x = Rs. '6.6x' Since savings remain the same, therefore Her new income = 6.6x + 4x = Rs. '10.6x' ATQ: 10.6x - 9x = 2400 Or, 1.6x = 2400 Or, x = 2400 ÷ 1.6 Or, x = 1500 So, her initial income = 9x = 9 × 1500 = Rs. 13500

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