Question
The collective income of 'D', 'E', and 'F' is Rs. 15000.
They spend 55%, 60%, and 50% of their incomes respectively, and their savings are in the ratio 3:4:9. What is the total expenditure of 'D', 'E', and 'F'?Solution
ATQ, Let the incomes of ‘D’, ‘E’, and ‘F’ be Rs. d, Rs. e, and Rs. f. According to the question, 0.45d : 0.4e : 0.5f = 3 : 4 : 9 Or, d : e : f = (3/0.45) : (4/0.4) : (9/0.5) = 6.67 : 10 : 18 Sum of the ratios = 6.67 + 10 + 18 = 34.67 Therefore, income of ‘D’ = 15000 × (6.67/34.67) = Rs. 2886 Income of ‘E’ = 15000 × (10/34.67) = Rs. 4327 Income of ‘F’ = 15000 - (2886 + 4327) = Rs. 7787 Required sum = (0.55 × 2886) + (0.6 × 4327) + (0.5 × 7787) = 1587 + 2596 + 3894 = Rs. 8077
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