Question

The income of A ,B 3 :2 and there expendatinexpentation in the ratio 5:3 if each say Rupees 1500 then B income is?

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!

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