Question

The ratio of incomes of two persons A and Bis 3:4 and the ratio of their expandinues
is 5:7. If their savings are Rs. 15.000 annually find their annual incomes​

Answer 1

Answer:

Let their income be x and expenditure be y.

A′s income =5x

B′s income =4x

A′s expenditure =3y

B′s expenditure =2y

Save money =Rs.1600

⇒  Income - expenditure = saves

⇒ 5x−3y=1600     ---- ( 1 )

⇒  4x−2y=1600    --- ( 2 )

Multiply equation ( 1 ) by 2 and equation ( 2 ) by 3, we get,

⇒  10x−6y=3200      ---- ( 3 )

⇒  12x−6y=4800      ---- ( 4 )

By subtracting ( 4 ) from ( 1 ) we get,

⇒  x=800

⇒  Income of A=5x=5×800=Rs.4000

Answer 2

Answer:

let their income be x and expenditure by y

As income=5x

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