Question

The income of abc are in the ratio of 12:9:7 and their expenditure are in the ratio of 15:9:8. If a saved 25% of his income . What is the ratio of the savings of the ab nd c

Answer 1

Answer:

A's savings : C's savings = 15 : 11

Step-by-step explanation:

A's income = 12k

B's income = 9k

C's income = 7k

A's expendituire= 15m

B's expendituire= 9m

C's expendituire= 8m

A's savings= 12k-15m

B's savings= 9k-9m

C's savings= 7k-8m

But A's savings = 25% of his income

12k-15m=25% of (12k)

12k-15m=3k

9k=15m

$k=\frac{15}{9}m$

A's savings=$12(\frac{15}{9}m)-15m$

A's savings= 20m-15m

A's savings= 5m

C's savings= $7(\frac{15}{9}m)-8m$

C's savings=$\frac{105m}{9}-8m$

C's savings=$\frac{105m-72m}{9}$

C's savings=$\frac{33m}{9}$

C's savings= $\frac{11m}{3}$

Now,

A's savings : C's savings

$= 5m:\frac{11m}{3}$

=15m: 11m

= 15 : 11