Question
The incomes of P, Q and R are in the ratio 10 : 12 : 9
and their expenditures are in the ratio 12 : 15 : 8. If Q saves 25% of his income, then what is the ratio of the savings of P, Q and R?Solution
Income Ratio (P:Q:R) = 10:12:9 Let incomes be 10x, 12x, 9x. Expenditure Ratio (P:Q:R) = 12:15:8 Let expenditures be 12y, 15y, 8y. Q saves 25% of income: Savings of Q = 25% of 12x = 3x Expenditure of Q = 12x - 3x = 9x 15y = 9x ⟹y = 3x/5 Expenditures: P = 12 × 3x/5 = 36x/5 R = 8 × 3x/5 = 24x/5 Savings: P= 10x – 36x/5 =14x/5 R = 9x − 24x/ 5 = 21x/5 Savings Ratio (P:Q:R) = 14:15:21
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