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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'.
    A Rs. 34,000 Correct Answer Incorrect Answer
    B Rs. 43,400 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

    ATQ, Let the income of 'P' and 'Q' be Rs. '3a' and Rs. '4a', respectively. Let the savings of 'Q' be Rs. '7b'. Savings of 'P' = 1.25 × 7b = Rs. '8.75b' Sum of expenditure of 'P' and 'Q' = (3a - 8.75b) + (4a - 7b) = 72000 Or, 7a - 15.75b = 72000 ....(i) ATQ, 0.40 × 7a = 3a - 8.75b Or, 2.8a = 3a - 8.75b Or, 3a - 2.8a = 8.75b Or, 0.2a = 8.75b Or, a = (8.75b / 0.2) = 43.75b Put the value of 'a' in equation (i), we get, 7 × 43.75b - 15.75b = 72000 Or, 306.25b - 15.75b = 72000 So, b = (72000 / 290.5) = 247.76 Or, 'a' = 43.75b = 43.75 × 247.76 = 10850 Income of 'Q' = 4a = 4 × 10850 = Rs. 43,400

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