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

56 : 99 : 69

                      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