A certain sum invested at 20% per annum compound interest compounded half yearly, amounts to Rs.1452 at the end of one year. The sum is:

1200

Given rate = 20%

Time = 1 year

( The interest is compounded half yearly then, )

Effective rate will be = 10 + 10 + \(\frac{10 × 10}{100}\) = 21%

Amount = Principle + interest = 100% + 21% = 121%

121% = 1452

100% = 1200(Sum)