Question

The income ratio of a, b, c is 5:7:4. Expenditure ratio is 6:5:3. If a saves only 20% of his income and the total saving of a, b and c together is rs 8000. Find their individual savings?

Answer 1

Dear Student,

◆ Answer -

A's savings = 1200 Rs

B's savings = 4400 Rs

C's savings = 2400 Rs

● Explaination -

Let x be common multiple of earnings so that a earns 5x, b earns 7x and c earns 4x.

Similarly let y be common multiple of expenditure so that a spends 6y, b spends 5y and c spends 3y.

Savings by each of them would be -

A's savings = 5x-6y

B's savings = 7x-5y

C's savings = 4x-3y

Given that A saves 20% of his earnings.

5x - 6y = 20/100 × 5x

5x - 6y = x

4x = 6y

x = 3/2 y

Total savings are given.

8000 = (5x-6y) + (7x-5y) + (4x-3y)

8000 = 16x - 14y

8x - 7y - 4000 = 0

Substitute x = 3/2 y,

8×3y/2 - 7y - 4000 = 0

5y = 4000

y = 800 Rs

Now, x will be -

x = 3/2 × 800

x = 1200 Rs

Therefore individual savings will be -

A's savings = 5x-6y = 5×1200-6×800 = 1200 Rs

B's savings = 7x-5y = 7×1200-5×800 = 4400 Rs

C's savings = 4x-3y = 4×1200-3×800 = 2400 Rs

Hope that is helpful...