The income 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 1/4 th of his income then the savings of A, B, and C are in the ratio of -

Question: The income 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 1/4 th of his income then the savings of A, B, and C are in the ratio of -

Solution:
Let the income of A, B and C are 7x, 9x, and 12x respectively
and expenditure of A, B and C are 8y, 9y and 15y respectively

ATQ,
7x - 8y = 7x × 1/4
⇒ 28x - 32y = 7x
⇒21x = 32y
⇒ x : y = 32 : 21

∴ The ratio of savings of A, B, and C
⇒ (7x - 8y) : (9x - 9y) : (12x - 15y)
⇒ (7 × 32 - 8 × 21) : (9 × 32 - 9 × 21) : (12 × 32 - 15 × 21)
⇒ (224 - 168) : (288 - 189) : (384 - 315)
⇒ 56 : 99 : 69