Raju invested a sum of Rs. 5832 at a rate of interest n% per annum, compounded annually. Find the value of n, if he received a sum of Rs. 13824 after 3 years.
A. `33(1)/(3)`
B. `33(2)/(3)`
C. `33(4)/(3)`
D. `33(5)/(3)`
Correct option is (A) 8
Let the amount taken be Rs P.
\(\therefore\) S.I. = \(\frac{16}{25}\times\) P = \(\frac{16P}{25}\)
R = T
\(\therefore\) S.I. = \(\frac{PRT}{100}\)
\(\Rightarrow\) \(\frac{16P}{25}\) = \(\frac{P\times R\times R}{100}\) \((\because\) R = T)
\(\Rightarrow\) \(R^2=\) \(\frac{16P}{25}\times\frac{100}P\) \(=16\times4=64=8^2\)
\(\Rightarrow\) R = 8
\(\Rightarrow\) T = R = 8
(i) Interest due but not recived shall be added to assest on one side and to the capital on other side.
(ii) It will increase cash on the assets side...