Explanation:

- Given, the income of A is Rs. 5000 and the income of B is Rs. 3000.

- Both A and B have the same expenditure, denoted as E.

- Savings for A = Income of A - Expenditure = 5000 - E

- Savings for B = Income of B - Expenditure = 3000 - E

- The ratio of their savings is given as 5 : 1.

- So, (5000 - E) / (3000 - E) = 5 / 1

Let's solve the equation:

$$ 5(3000 - E) = 5000 - E $$

$$ 15000 - 5E = 5000 - E $$

$$ 10000 = 4E $$

$$ E = 2500 $$

- Therefore, the expenditure of A is Rs. 2500.

- Answer: Option 3 - Rs. 2500