The sum will discharge a debt of rs 5625 due after 2 years and 6 month...
Solution:
Step 1: Calculate the interest for 2 years and 6 months at 5% simple interest
Given, Principal amount (P) = Rs 5625, Rate of interest (R) = 5%, Time (T) = 2 years 6 months = 2.5 years
Simple Interest (SI) = (P * R * T) / 100
= (5625 * 5 * 2.5) / 100
= Rs 703.125
Step 2: Calculate the total amount to be paid after 2 years and 6 months
Total amount to be paid = Principal amount + Simple Interest
= Rs 5625 + Rs 703.125
= Rs 6328.125
Step 3: Calculate the present value of the debt
Present Value (PV) = Total amount / (1 + (R * T))
= 6328.125 / (1 + (5/100) * 2.5)
= Rs 5625
Step 4: Calculate the present value of the debt today
Present Value today = Present Value / (1 + (R * T))
= 5625 / (1 + (5/100) * (2.5/12))
= Rs 5066.077
Therefore, the sum that will discharge the debt of Rs 5625 due after 2 years and 6 months at 5% simple interest to today is Rs 5066.077.