Question

The income of A and B is in the ratio 4:3 and their expenditure is in the ratio of 3:2.If they both save

Rs.600 at the end of a year, find the annual income of each
​

Answer 1

Given

Income of A and B in the ratio 4:3

Expenditure of A and B in the ratio 3:2

Savings of both A and B is ₹600

To Find

Annual income of A and B

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

Let the income of A and B be 4x and 3x respectively.

and expenditure be 3y and 2y respectively.

According to the Question=>

$\sf\boxed{\bold{Income -Expenditure =Savings }}$

$\sf \longmapsto \: 4x - 3y = 600( \times 3)$

$\sf \longmapsto \: 3x - 2y = 600( \times 4)$

New Equation obtained:

12x-9y=1800

12x-8y=2400

(-)...(+)...(-)

____________

-y=-600

y=600

4x-3y=600

4x-3×600=600

4x-1800=600

4x=2400

x=2400/4=600

x=600

∴X=600 and y=600

Income of A =4x=4×600=2400

Income of B=3x=3×600=1800