Question

A and B have incomes in the ratio 3:4. If
they spend in the ratio 2:3 each saves Rs 400
find the income of each​

Answer 1

Answer:

Let the annual incomes of A and B be 3x and 4x

And the annual expenditures of A and B be 5y and 7y

Since each of them saves Rs5000.  

3x−5y=5000 ----- (1)

4x−7y=5000 ---- (2)

Multiplying equation  (1) with 4 we get, 12x−20y=20000 ----- equation (3)

Multiplying equation  (2) with 3 we get, 12x−21y=15000 ----- equation (4)

Subtracting equation (4) from (3), we get y=5000

Substituting y=5000 in the equation (1), we get 3x−5(5000)=5000=x=10000

Hence,, annual income of A =3x= Rs 30000 and of B =4x= Rs 40000