Given:
Principal value = 40000
Rate of compounded interest = 20%
Time = 2 years
To find:
The interest.
Solution:
Formula for amount is
[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]
Where, P is principal, r is rate of interest and t is time in years.
Putting the given values, we get
[tex]A=40000\left(1+\dfrac{20}{100}\right)^2[/tex]
[tex]A=40000\left(1+\dfrac{1}{5}\right)^2[/tex]
[tex]A=40000\left(\dfrac{6}{5}\right)^2[/tex]
[tex]A=40000\left(\dfrac{36}{25}\right)[/tex]
[tex]A=57600[/tex]
Now, the formula for interest is
[tex]I=A-P[/tex]
[tex]I=57600-40000[/tex]
[tex]I=17600[/tex]
Therefore, the amount of compound interest is 17,600.