Question
The combined income of 'L', 'M', and 'N' is Rs. 27000.
They spend 90%, 85%, and 60% of their incomes, and the savings are in the ratio 2:3:10. Find the total expenditures of 'L', 'M', and 'N'.Solution
ATQ, Let the incomes of ‘L’, ‘M’, and ‘N’ be Rs. l, Rs. m, and Rs. n. According to the question, 0.1l : 0.15m : 0.4n = 2 : 3 : 10 Or, l : m : n = (2/0.1) : (3/0.15) : (10/0.4) = 20 : 20 : 25 Sum of the ratios = 20 + 20 + 25 = 65 Therefore, income of ‘L’ = 27000 × (20/65) = Rs. 8308 Income of ‘M’ = 27000 × (20/65) = Rs. 8308 Income of ‘N’ = 27000 - (8308 + 8308) = Rs. 10384 Required sum = (0.9 × 8308) + (0.85 × 8308) + (0.6 × 10384) = 7477 + 7062 + 6230 = Rs. 20769
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