Question

the income of A and B are in the ratio 3 ratio 2 and their expenditure and in the ratio 5 ratio 3 if they saves ruppes 2000 what is their income
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Answer 1

let the income be 3x,2x
&expenditure be 5y, 3y
$saving = income - expenditure$
so,
A's
3x-5y= 2000
B's
2x-3y=2000
On solving both the equation
( 3x-5y=2000)×2
( 2x-3y=2000)×3
6x -10y= 4000
6x-9y=6000
(-). (+). (-)
____________
-y. = -2000

[y=2000]
put this in one of the original equation
2x-3y=2000
2x-3(2000) =2000
2x=2000+6000
x=8000÷2
4000
so, A's income =3x=3(4000)
= 12000
B's income= 2x=2(4000)
8000