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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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