Question

The ratio of incomes of Ali & Baby is 5: 4 and the ratio of their expenditure is 4: 3. If
Ali saves Tk 500 per month, what is the income of Baby?​

Answer 1

Hope this helps.....

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