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    Question

    The incomes of A and B are in the ratio 4 : 5 and their

    expenditures are in the ratio 3 : 4. If each saves Rs 4,000, find the income of B.
    A Rs 10,000 Correct Answer Incorrect Answer
    B Rs 20,000 Correct Answer Incorrect Answer
    C Rs 33,000 Correct Answer Incorrect Answer
    D Rs 28,000 Correct Answer Incorrect Answer

    Solution

    Let incomes: A = 4x, B = 5x Let expenditures: A = 3y, B = 4y Savings = Income тИТ Expenditure For A: 4x тИТ 3y = 4,000 тАж(1) For B: 5x тИТ 4y = 4,000 тАж(2) Subtract (1) from (2): (5x тИТ 4y) тИТ (4x тИТ 3y) = 0 5x тИТ 4y тИТ 4x + 3y = 0 x тИТ y = 0 тЗТ x = y Substitute x = y in (1): 4x тИТ 3x = 4,000 x = 4,000 So BтАЩs income = 5x = 5 ├Ч 4,000 = Rs 20,000 Answer: Rs 20,000.

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