A sum of money under compound interest, interest being compounded half yearly, doubles in 3 years. In how many years it will become 32 times itself?

15 years

Hi Fareena Dave, It is given, P(1+r/200)^6 = 2P (1+r/200)^6 = 2 ....... (1) P(1+r/200)^m = 32P P(1+r/200)^m = 32 ...... (2) Solving (1) and (2), we get m = 30 30 half-yearly to become 32 times, i.e. 15 years to become 32 times. Hope this helps!