A certain sum invested at 4% per annum compound interest compounded half yearly, amounts to Rs.15606 at the end of one year. The sum is:

15670 13450 15000 15670

15000

Given rate = 4% Time = 1 year ( The interest is compounded half yearly then, ) Effective rate will be = 2 + 2 + \(\frac{2 × 2}{100}\) = 4.04% Amount = Principle + interest = 100% + 4.04% = 104.04% 104.04% = 15606 100% = 15000 (Sum)