Question

The ratio of incomes of two persons A and B is 2:3. The ratio of expenditures of A and B is 3:5. Each person saves Rs.500. What was their income?

Answer 1

Answer:

let the incomes of A and B be 2x and 3x respectively

let their expenditures be 3y and 5yrespectively.

a/q 2x - 3y= 500

and, 3x-5y = 500

solving both the equations we get X=1000 and Y= 500

Answer 2

Answer:

their income

Step-by-step explanation:

let the income and expenditure of A=2x and 3y respectively

let the income and expenditure of B=3x and 5y respectively

so for A, 2x - 3y =500

or, 2x =500+3y

or, x=(500+3y)/2

For B, 3x -5y=500

putting the value of x we get 3(500+3y)/2-5y=500

or, (1500+9y)/2-5y=500

or, (1500+9y-10y)/2=500

or, 1500-y=500*2

or, -y=1000-1500

or, -y=-500

or, y=500

therefore, x=(500+3y)/2

=(500+3*500)/2

=(500+1500)/2

=2000/2

=1000

therefore income of A=2x=2*1000=2000

income of B=3x=3*1000=3000