Question

The incomes of A and B are in the ratio 3:2 and their expenditure are in ratio 5:3. If each saves Rs. 1000, then, A's income can be:
A.Rs. 3000
B.Rs. 4000
C.Rs. 6000
D.Rs. 9000

Answer 1

Let income of A and B be 3x and 2x respectively. Also, their expenditure is 5y and 3y.

Now, according to question,
3x-5y = 1000 ------- (i)*3
2x-3y = 1000 ---------- (ii)*5
9x-15y-10x+15y = 3000-5000;
Or, -x = -2000;
Or, x = 2000;
Then, income of A = 3x = 3*2000 = Rs. 6000