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 3000 per month. find the monthly income of each.

Answer 1

let monthly income of A = x
---------------------------of B = y

let expenditure of A = 7y
-------------------------B = 5x

let income of A = 5y
-----------------B = 4x

according to statement
5x - 7y = 3000 ...... (1)
4x - 5y = 3000 ...... (2)

5x - 7y = 3000 *4
4x - 5y = 3000 *5

20x - 28y = 12000
20x - 25y = 15000
- + -
~~~~~~~~~~~~~~~
0 - 3y = - 3000
y = 1000

then you can also find value of x by putting in 1 or 2

hence you can find monthly income

Answer 2

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