Question
The earnings of ‘P’, ‘Q’ and ‘R’ are in the
ratio 6:9:10 respectively. The average income of the three is Rs. 12,000. If ‘P’, ‘Q’ and ‘R’ spend 60%, 70% and 50% of their incomes respectively, find their average expenditure.Solution
ATQ,
Sum of incomes of ‘P’, ‘Q’ and ‘R’ = 12000 × 3 = Rs. 36,000
Income of ‘P’ = 36000 × (6/25) = Rs. 8,640
Income of ‘Q’ = 36000 × (9/25) = Rs. 12,960
Income of ‘R’ = 36000 × (10/25) = Rs. 14,400
Expense of ‘P’ = 8640 × 0.6 = Rs. 5,184
Expense of ‘Q’ = 12960 × 0.7 = Rs. 9,072
Expense of ‘R’ = 14400 × 0.5 = Rs. 7,200
Therefore, required average = (5184 + 9072 + 7200) ÷ 3 = Rs. 7,152
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