2021 · Q78
The incomes of A, B and C are in the ratio 7 ∶ 9 ∶ 12 and their expenditures are in the ratio 8 ∶ 9 ∶ 15. If A's saving is one-fourth of his income, then the ratio of savings of A, B and C is
Elementary MathematicsRatio and Proportion
- A56 ∶ 99 ∶ 69
- B99 ∶ 56 ∶ 69
- C69 ∶ 56 ∶ 99
- D99 ∶ 69 ∶ 56
Explanation
A saves 1/4 of income, so A's expense is 3/4 of 7k: 8m = 21k/4, i.e. m = 21k/32. Savings: A = 7k − 8m = 56k/32; B = 9k − 9m = 99k/32; C = 12k − 15m = 69k/32. The ratio A : B : C = 56 : 99 : 69. Hence option A.