Question

The ratio of income of A and B is 5:3 and ratio of their expenditure is 9:5. If they save Rs. 2600 and Rs. 1800 respectively, then find out their incomes.

Answer 1

let the income be x and expenditure be y, then,
A earns 5x and spends 9y, savings= 5x-9y=2600-------------(equation1)
B earns 3x and spends 5y, savings= 3x-5y=1800-------------(equation2)
solving both equations simultaneously,
we multiply equation1 with 5 and equation2 with 9, we get,
25x-45y=13000 and 27x-45y=16200 respectively
Adding both equations, we get,
52x=29200
x=561.5
substituting y in equation 1
5(561.5)- 9y=2600
2807.5-9y=2600
9y=207.5
y=23

thus their incomes of A and B are- 2807.5 and 1684.5!

hope this helps!

Answer 2

Income of A= ₹8000
and Income of B = ₹ 4800.
take a look at picture