Question

how much would a sum of rupees 16000 amount to in 2 years at 10% per annum if the interest is compounded half-yearly

Answer 1

19448.1 rs this is your answer

Answer 2

$Hi \: \: !!! \\ \\ Here \: \: is \: \: your \: \: answer, \\ \\ Given:- \: \\ Principal(P) = Rs.16000 \\ Rate \: \: of \: \: interest(R) = 10\%p.a. \\ \\ Rate \: \: of \: \: interest \\ (R) per \: \: halfyearly\frac{10}{2} = 5\% \\ \\ Time(n) = 2years \\ 2 \: years = 2 \times 2 = 4 \: half \: years \\ \\ \\ Amount =P {(1 + \frac{R}{100} )}^{n} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 16000 {(1 + \frac{5}{100}) }^{4} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 16000 {(1 + \frac{1}{20} )}^{4} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 16000 {( \frac{20 + 1}{20}) }^{4} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 16000 {( \frac{21}{20}) }^{4} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 16000 \times \frac{194481}{160000} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 19448.1 \\ \\ Amount = Rs.19448.1 \\ \\ \\ Hope \: \: it \: \: helps.$