Question

The ratio of income of A and B is 3:2
And The ratio of their expenditure if 5:3.
It each one saves 1500 rupees. Then
Find the income of B .​

Answer 1

Let income of a be 3x and b be 2x

and according to the question their investment be 5y and 3y respectively.

ATQ........

3x - 5y = 1000 ......... (1)

2x - 3y =1000.......... (2)

x = [1000+3y]/ 2 (from eq 2)

putting the value of x in eq 1 we ge :-

3* [1000+3y]/2 - 5y = 1000

=> y = 1000

x =( 1000 + 3000 )/ 2

= 2000

income of b = 2x = 4000

Answer 2

Let income of a be 3x and b be 2x

and according to the question their investment be 5y and 3y respectively.

3x - 5y = 1500 ......... (1)

2x - 3y =1500.......... (2)

x = [1500+3y]/ 2 (from eq 2)

putting the value of x in eq 1 we ge :-

3* [1500+3y]/2 - 5y = 1500

so y = 1500

x = ( 1500 + 4500 ) / 2

= 3000

income of b = 6000

hope its help u....