If the monthly incomes of A and Bare in the ratio 3:4 and their expend

1.	If the monthly incomes of A and Bare in the ratio 3:4 and their expenditure are in the ratio 1:2. If each saves 2000. Find their monthly incomes.
Answer» Let their monthly incomes are 3x and 4x and their expenditure are 3x – 2000 and 4x – 2000 Given difference of their squares is \(\frac{3x - 2000}{4x - 2000}\) = \(\frac{1}{2}\) 6x – 4000 = 4x – 2000 ⇒ 2x = 2000 ⇒ x = 1000 The monthly income of A = 3x = 3 × 1000 = 3000 The monthly income of B = 4x = 4 x 1000 = 4000

If the monthly incomes of A and Bare in the ratio 3:4 and their expenditure are in the ratio 1:2. If each saves 2000. Find their monthly incomes.

Answer»

Let their monthly incomes are 3x and 4x and their expenditure are

3x – 2000 and 4x – 2000

Given difference of their squares is

\(\frac{3x - 2000}{4x - 2000}\) = \(\frac{1}{2}\)

6x – 4000 = 4x – 2000

⇒ 2x = 2000 ⇒ x = 1000

The monthly income of A = 3x = 3 × 1000 = 3000

The monthly income of B = 4x = 4 x 1000 = 4000