Question

If the ratio of income of A & B in 2015 is

4 : 5 and that of in 2016 is 5 : 4. If income

of A in 2016 is 50% more than that in

2015, then find income of B in 2015 is

how much % more or less than 2016.​

Answer 1

Answer:

RS.4000

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

I hope it's helpful for you chotti