Question

The ratio of income of A and B is 5 : 7. The ratio of expenditure of both is 3 : 4 and their savings are respectively Rs. 1400 and Rs. 2200. Find the income of A and B respectively.

• A. 4000, 8000
• B. 5000, 7000
• C. 7000, 5000
• D. 5500, 7700

Answer 1

Answer:

B. 5000, 7000

Let the income of A and B is 5x and 7x expenditure is {(5x – 1400)/(7x – 2200)} = (3/4) ⇒ 4 (5x – 1400) = 3 (7x – 2200) ⇒ 20x – 5600 = 21x – 6600 ⇒ 21x – 20x = 6600 – 5600 ⇒ x = 1000 Income of A = 5 × 1000 ⇒ 5000 Income of B = 7 × 1000 ⇒ 7000