The incomes of X and Y are in the ratio of 3 : 2 and their expenditures are in the ratio of 5 : 3. If each of them saves Tk. 1000, then, X’s income can be

Question: The incomes of X and Y are in the ratio of 3 : 2 and their expenditures are in the ratio of 5 : 3. If each of them saves Tk. 1000, then, X’s income can be

Solution:
The incomes of X and Y are 3x, 2x
their expenditures are 5y, 3y

3x - 5y = 1000
2x - 3y = 1000

3x - 5y = 2x - 3y
⇒ x = 2y

3 × 2y - 5y = 1000
⇒ y = 1000
x = 2 × 1000 = 2000 taka

∴ X’s income = 3x
= 3 × 2000
= Tk. 6000