Question

    The sum of the incomes of 'P', 'Q', 'R' together is Rs.

    24000. 'P', 'Q' and 'R' spend 60%, 70%, and 65% of their respective incomes such that the ratio of their savings is 5:3:7, respectively. Find the sum of expenditures of 'P', 'Q', and 'R'.
    A Rs.25529 Correct Answer Incorrect Answer
    B Rs.14529 Correct Answer Incorrect Answer
    C Rs.15565 Correct Answer Incorrect Answer
    D Rs.15529 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the incomes of 'P', 'Q', and 'R' be Rs. p, Rs. q, and Rs. r. According to the question, 0.4p : 0.3q : 0.35r = 5 : 3 : 7 Or, p : q : r = (5/0.4) : (3/0.3) : (7/0.35) = 12.5 : 10 : 20 Sum of the ratios = 12.5 + 10 + 20 = 42.5 Therefore, income of ‘P’ = 24000 × (12.5/42.5) = Rs. 7059 Income of ‘Q’ = 24000 × (10/42.5) = Rs. 5647 Income of ‘R’ = 24000 - (7059 + 5647) = Rs. 11294 Required sum = (0.6 × 7059) + (0.7 × 5647) + (0.65 × 11294) = 4235 + 3953 + 7341 = Rs.15529

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