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    Question

    The income of 'X' is 25% more than that of 'Y'. 'X' and 'Y'

    save 30% and 15% of their incomes respectively. If the difference between their expenditures is Rs. 660, find the amount saved by 'X'.
    A Rs.7,525 Correct Answer Incorrect Answer
    B Rs.5,572 Correct Answer Incorrect Answer
    C Rs.9,900 Correct Answer Incorrect Answer
    D Rs.3,250 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the income of 'Y' be Rs. '100n'

    Income of 'X' = 1.25 × 100n = Rs. '125n'

    Expenditure of 'X' = 0.7 × 125n = Rs. '87.5n'

    Expenditure of 'Y' = 0.85 × 100n = Rs. '85n'

    So, 87.5n - 85n = 660

    Or, 2.5n = 660

    Or, 'n' = 264

    Savings of 'X' = 125n - 87.5n = 37.5n = 37.5 × 264 = Rs. 9,900

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