The Banaras bank gives 10% rate of interest and compounds the interest due half-yearly. The Bank of Varanasi compounds the interest yearly. If the same amount is kept in both the banks now, the sum realized after 3 years is same on both cases. What rate of interest does Bank of Varanasi offer?
a) 10%
b) 25%
c) 10.75%
d) 11.21%
Ans: b) 10.25%
P(1 + (10/2)/100)6 = P(1+ r/100)3. ∴ (1+ r/100) = 1.052 or 10.25%.