Question

The monthly income of A and B are in the ratio 5:4 and their monthly expenditure are in the ratio 7:5 .If each saves Rs.9000 per month,find the monthly income of each. ​

Answer 1

Answer:

a and b in ratio =5.4

rupees saves =9000

Answer 2

Good Morning!!

Let the monthly income of A and B are in this ratio 5x : 4x

And

Let the Monthly expenditure are in this ratio 7y : 5y

ACCORDING TO THE GIVEN QUESTION!

5x - 7y = 9000 ... Equation i

4x - 5y = 9000 ... Equation ii

From Equation i and ii we have.

5x - 7y = 4x - 5y

5x - 4x = -5y + 7y

x = 2y

x = 2y .... Equation iii

Now, Substitute value x in Equation i we have.

5(2y) - 7y = 9000

10y - 7y = 9000

3y = 9000

y = 3000

Put value of y in Equation iii we have.

x = 2 ( 3000 )

x = 6000.

So, The Monthly income of A is 5 ( 6000 ) = 30000

And

The monthly income of B is 4 ( 6000 ) = 24000.