A certain sum invested at 10% per annum compound interest compounded half yearly, amounts to Rs.2205 at the end of one year. The sum is:

2000 2500 2450 2600

2000

Given rate = 10% Time = 1 year ( The interest is compounded half yearly then, ) Effective rate will be = 5 + 5 + \(\frac{5 × 5}{100}\) = 10.25% Amount = Principle + interest = 100% + 10.25% = 110.25% 110.25% = 2205 100% = 2000(Sum)