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    Question

    The incomes of A and B are in the ratio 5 : 7 and their

    expenditures are in the ratio 3 : 5. If each saves Rs 4,000, find the income of B.
    A Rs 17,200 Correct Answer Incorrect Answer
    B Rs 14,000 Correct Answer Incorrect Answer
    C Rs 13,050 Correct Answer Incorrect Answer
    D Rs 14,700 Correct Answer Incorrect Answer

    Solution

    Let incomes be 5x and 7x. Let expenditures be 3y and 5y. Savings = Income тИТ Expenditure For A: 5x тИТ 3y = 4,000 тАж(1) For B: 7x тИТ 5y = 4,000 тАж(2) Subtract (1) from (2): (7x тИТ 5y) тИТ (5x тИТ 3y) = 0 7x тИТ 5y тИТ 5x + 3y = 0 2x тИТ 2y = 0 тЗТ x = y Substitute x = y into (1): 5x тИТ 3x = 4,000 2x = 4,000 тЗТ x = 2,000 Thus BтАЩs income = 7x = 7 ├Ч 2,000 = Rs 14,000

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