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    Question

    The ratio of income of 'P' to that of 'Q' is 3:4. Sum of

    their expenditures is Rs. 72,000. Savings of 'P' is 25% more than that of 'Q'. Expenditure of 'P' is 40% of the sum of income of 'P' and 'Q'. Find the income of 'Q'. (Calculate approximate value)
    A Rs. 34,000 Correct Answer Incorrect Answer
    B Rs. 43,373 Correct Answer Incorrect Answer
    C Rs. 54,600 Correct Answer Incorrect Answer
    D Rs. 41,200 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let incomes: P = 3x Q = 4x Given: P's expenditure = 40% of (3x + 4x) = 0.4 ├Ч 7x = 2.8x Total expenditure = тВ╣72,000 PтАЩs savings = 25% more than QтАЩs savings = (3x тИТ 2.8x) = 1.25(4x тИТ EтВВ) Use savings equation 0.2x = 1.25(4x тИТ EтВВ) = 0.16x = 4x тИТ EтВВ = EтВВ = 4x тИТ 0.16x = 3.84x Total expenditure EтВБ + EтВВ = 2.8x + 3.84x = 6.64x = тВ╣72,000 = x = 72000 / 6.64 = тВ╣10,843.37 Q's income = 4x = 4 ├Ч 10,843.37 = тВ╣43,373.48 or тВ╣43,373 (approx)

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