Question

The ratio of income of A,B,C is 2:3:4 and the ratio of expenditures is 3:4:5 . Savings of A is 1/5th of its income then find the ratio of their savings

Answer 1

Given:

Ratio of income of A,B,C is 2:3:4

Ratio of expenditures is 3:4:5

Savings of A is 1/5th of its income

To find:

The ratio of their savings.

Solution:

Let income of A, B and C be 2x, 3x, and 4x respectively.

And expenditures be 3y, 4y, and 5y respectively.

According to the question,

2x - 3y = (1/5)*2x

3y =2x - (1/5)*2x

15y = 10x - 2x

15y = 8x

y = (8/15)*x = 8x/15

As A saves 1/5 of hi income

Therefore, A's savings = 2x/5

B's savings = 3x - 4y = 3x - 4*(8x/15) = (45x - 32x)/15 = 13x/15

C's savings = 4x - 5y = 4x - 5*(8x/15) = (60x - 40x)/15 = 20x/15 = 4x/3

Therefore, required ratio = $\frac{2x}{5}: \frac{13x}{15}: \frac{4x}{3}$

Required ratio = 6:15:20