A certain sum invested at 8% per annum compound interest compounded half yearly, amounts to Rs.10816 at the end of one year. The sum is:

10000

Given rate = 8%

Time = 1 year

( The interest is compounded half yearly then, )

Effective rate will be = 4 + 4 + \(\frac{4 × 4}{100}\) = 8.16%

Amount = Principle + interest = 100% + 8.16% = 108.16%

108.16% = 10816

100% = 10000(Sum)