Question

The ratio of the incomes of A and B is 5:4
and the ratio of their expenditure is 3 : 2. If
at the end of each year, each saves 1600,
then the income of A is​

Answer 1

Answer:

Income of A is Rs. 4000

Answer 2

Answer:

Step-by-step explanation:

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

Thank you ☺️☺️