To calculate the present value of a debt of rupees 5625 due after 2 years and 6 months at 5% simple interest, we need to use the formula:

Present Value = Future Value / (1 + (rate x time))

where rate is the interest rate and time is the time period in years.



We first need to calculate the interest that has accrued on the debt for the given time period of 2 years and 6 months at 5% simple interest. We use the formula:

Interest = (principal x rate x time) / 100

where principal is the original debt amount.



The total amount payable is the sum of the principal and the interest accrued. We use the formula:

Total Amount Payable = Principal + Interest



We can also calculate the present value of the debt using the total amount payable and the formula for present value mentioned above.



Once we have calculated the present value of the debt, we can determine the date on which the sum needs to be paid to discharge the debt.



In conclusion, to determine the date on which a sum needs to be paid to discharge a debt of rupees 5625 due after 2 years and 6 months at 5% simple interest, we need to calculate the present value of the debt using the formula for present value, calculate the interest accrued using the formula for simple interest, calculate the total amount payable, and determine the date based on the present value.