Monthly income of B is Tk. 3000 more than the monthly income of A. Monthly savings of A and B are Tk. 8000 and Tk. 17000 respectively. Find the monthly income of A if the monthly expenditures of A and B are in the ratio 4 : 3 respectively.

Question: Monthly income of B is Tk. 3000 more than the monthly income of A. Monthly savings of A and B are Tk. 8000 and Tk. 17000 respectively. Find the monthly income of A if the monthly expenditures of A and B are in the ratio 4 : 3 respectively.

Solution:
Let,
The monthly income of A is Tk. x
∴ The monthly income of B is Tk. x + 3000

Monthly expenditures of A is Tk. x - 8000
Monthly expenditures of B is Tk. x + 3000 - 17000 = Tk. x - 14000

ATQ,
(x - 8000)/(x - 14000) = 4/3
⇒ 3x - 24000 = 4x - 56000
⇒ 4x - 3x = 56000 - 24000
∴ x = 32000