Question

36. Ramu invested a sum of 12,500 at 12% per annum at
compound interest. He received an amount of 15680 after x years. Then, the value of x ​

Answer 1

Answer:

Method of Solution;

Given;

Principal = 12,500

Rate = 10%

Time = 3 years

To find ;

Amount = ? and Compound Interest = ?

According to the Question!

Using Formula of Compound Interest

\begin{lgathered}A = p(1 + { \frac{r}{100} )}^{t} \\ \\ \\ \\ 12500(1 + { \frac{10}{100} )}^{3} \\ \\ \\ 12500 {( \frac{100 + 10}{100} )}^{3} \\ \\ \\ 12500( { \frac{110}{100}) }^{3} \\ \\ \\ 12500( \frac{ 1331,000}{ 1,000,000 } ) \\ \\ \\ 12500 \times 1.331 \\ \\ 16,637.5\end{lgathered}A=p(1+100r)t12500(1+10010)312500(100100+10)312500(100110)312500(1,000,0001331,000)12500×1.33116,637.5 

ATQ;

Compound Interest = Amount- Principal

=> Compound Interest = 16,637.5- 12,500

=> 4,137.5

Hence, Compound Interest = 4,137.5