Q. In how many years will a sum of money 800 Rs. at 10% per annum compound interest, compounded semi annually becomes 926.10 Rs.?
Answer: $latex 1\frac{1}{2}\ years&s=1$
Notes: Rate = 10% per annum = 5% half yearly $latex \because A = P(1 + \frac{R}{100})^{T}&s=1$ $latex => 926.10 = 800 (1 + \frac{5}{100})^{T}&s=1$ $latex => \frac{9261}{8000} = (\frac{21}{20})^{T}&s=1$ $latex => (\frac{21}{20})^{3} = (\frac{21}{20})^{T}&s=1$ $latex \therefore Time = 3\ half\ years = 1\frac{1}{2}\ years&s=1$ Hence option [B] is correct answer

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