Question

The incomes of A. B and C are in the ratio 7 : 9: 12 and their spending are in the ratio 8 : 9: 15. If A saves 1/4th of his income, then the savings of A, B and C are in the ratio of

• A. 69:56:48
• B. 47:74:99
• C. 37:72:49
• D. 56:99:69

Answer 1

Answer: (D)

56:99:69

Ratio of incomes of A: B : C = 7 : 9:12
Ratio of spending of A: B: C = 8:9: 15
Let incomes of A, B & C = 7x, 9x & 12x respectively
Let spending of A, B & C = 8v, 9y & 15y respectively
According to the question,
7x 8y = $\frac{1}{4}\times 7x\Rightarrow 7x-\frac{7x}{4}=8y$
$\frac{21x}{4}=8y\to \frac{x}{y}=\frac{32}{21}$
Saving of A = 7 $\times$ 32 - 8 $\times$ 21 = 56
Saving of B = 9 $\times$ 32 9 $\times$ 21 = 99
Saving of C = 12 $\times$ 32 - 15 $\times$ 21 = 69
Ratio of saving of A: B : C = 56 : 99: 69