Question

the annual income of A and B are in the ratio of 3:4 and their annual expanditure is in the ratio of 5:7.If each saves rs 5000;find their annual incomes.

Answer 1

HEY DEAR ...


Let the income of A and B be 3x and 4x; and the expenditures be 5y and 7y respectively.

Then, according to the question,

3x – 5y = 5000 ...(1)

4x – 7y = 5000 ...(2)

On multiplying equation (1) by 4 and equation (2) by 3, we get

12x – 20y = 20000 ... (3)

12x – 21y = 15000 ... (4)

Subtracting equation (3) from equation (4)

12x – 21y – 12x + 20y = 15000 – 20000

-y = -5000

⇒ y = 5000

On putting y = 5000 into (2),

4x – 7 × 5000 = 5000

4x = 35000 + 5000

4x = 40000

x = 10000

Thus, A’s income = 3x = Rs 3 × 10000 = Rs 30000

and B's income = 4x = Rs 4 × 10000 = Rs 40000



HOPE , IT HELPS ... ✌️