Question
The incomes of ‘X’, ‘Y’, and ‘Z’ are in the
ratio 5:6:9, respectively. The average income of the three is Rs. 15,000. If ‘X’, ‘Y’, and ‘Z’ spend 40%, 80%, and 60% of their respective incomes, find the average expenditure.Solution
ATQ,
Sum of incomes of ‘X’, ‘Y’ and ‘Z’ = 15000 × 3 = Rs. 45,000
Income of ‘X’ = 45000 × (5/20) = Rs. 11,250
Income of ‘Y’ = 45000 × (6/20) = Rs. 13,500
Income of ‘Z’ = 45000 × (9/20) = Rs. 20,250
Expense of ‘X’ = 11250 × 0.4 = Rs. 4,500
Expense of ‘Y’ = 13500 × 0.8 = Rs. 10,800
Expense of ‘Z’ = 20250 × 0.6 = Rs. 12,150
Therefore, required average = (4500 + 10800 + 12150) ÷ 3 = Rs. 9,150
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