-
The income of A, B and C are in the ratio 7 : 9 : 12 and their spendings are in the ratio 8 : 9 : 15. If A saves (1/4)th of his income, then the savings of A, B and C are in the ratio of :
-
- 56 : 99 : 69
- 69 : 56 : 99
- 99 : 56 : 69
- 99 : 69 : 56
Correct Option: A
Income of A = ₹ 7x ;
B = ₹ 9x and C = ₹ 12x
Expenses of A = ₹ 8y ;
B = ₹ 9y and C = ₹ 15y
| ∴ 7x – 8y = | × 7x | |
| 4 |
| ⇒ 7x – | = 8y | |
| 4 |
| ⇒ | = 8y ⇒ 21x = 32y. | |
| 4 |
| ∴ A’s saving = | × 7x | |
| 4 |
| = | × | y = | y | |||
| 4 | 3 | 3 |
B’s saving = 9x – 9y
| = 9 × | y − 9y | |
| 21 |
| = | |
| 7 |
| = | |
| 7 |
C’s saving = 12 x – 15 y
| = 12 × | y − 15y | |
| 21 |
| = | |
| 7 |
| = | |
| 7 |
∴ Required ratio
| = | y : | y : | y | |||
| 3 | 7 | 7 |
= 56 : 99 : 69
