Question
The sum of the incomes of 'G', 'H', and 'I' is Rs.
18000. 'G', 'H', and 'I' spend 70%, 65%, and 85% of their respective incomes, with their savings in the ratio 6:4:5. Calculate the total expenditures of 'G', 'H', and 'I'.Solution
ATQ, Let the incomes of ‘G’, ‘H’, and ‘I’ be Rs. g, Rs. h, and Rs. i. According to the question, 0.3g : 0.35h : 0.15i = 6 : 4 : 5 Or, g : h : i = (6/0.3) : (4/0.35) : (5/0.15) = 20 : 11.43 : 33.33 Sum of the ratios = 20 + 11.43 + 33.33 = 64.76 Therefore, income of ‘G’ = 18000 × (20/64.76) = Rs. 5542 Income of ‘H’ = 18000 × (11.43/64.76) = Rs. 3175 Income of ‘I’ = 18000 - (5542 + 3175) = Rs. 9283 Required sum = (0.7 × 5542) + (0.65 × 3175) + (0.85 × 9283) = 3880 + 2064 + 7891 = Rs. 13835
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