Question

13. The ratio of incomes of A and B is
3:4 and their ratio of expenditure
is 5:3. If each saves Rs. 1000, then
find their incomes. [NET, 1997)​

Answer 1

Step-by-step explanation:

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

income of B = 2x=2×2000=4000