The income of A, B and C are in the ratio 7 : 9 : 12 and their spending’s are in the ratio 8 : 9 : 15. If A saves \(\frac{1}{4}\) thof his income, then find the ratio of their savings
Answer & explanation
Correct answer: option 1
A B C
Income 7x 9x 12x
Expenditure 8y 9y 15y
A's saving = \(\frac{1}{4}\) × 7x
7x - 8y = \(\frac{7x}{4}\)
28x - 32y = 7x
21x = 32y
x : y = 32 : 21
x = 32K, y= 21K
Their saving ratio
(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