Question

The income of A and B are in the ratio 9 : 11 and their expenditure is in the ratio 5 : 7. If each of them saves Rs. 4400, then find the difference of their incomes.

• A. Rs. 1100
• B. Rs. 2200
• C. Rs. 3300
• D. Rs. 4400

Answer 1

Answer:

B. Rs. 2200

Let the income of A be 9x and Income of B be  11x
Expenditure of A = 5y
Expenditure of B = 7y
9x - 5y = 4400      ----(1)
11x - 7y = 4400      ----(2)
(1) × 7 - (2) × 5
63x - 35 y - 55x + 35y = 8800
⇒ 8x = 8800
⇒ x = Rs. 1100
Difference = 2x = Rs. 2200