Question:
What will 5000 amount to in 10 years, compounded annually at 10% per annum? [Given $\left.(1.1)^{10}=2.594\right]$
Solution:
To find: The amount after ten years
Given: (i) Principal – 5000
(ii) Time – 10 years
(iii) Rate – 10% per annum
Formula used: $A=P\left(1+\frac{r}{100}\right)^{t}$
$\Rightarrow A=5000\left(1+\frac{10}{100}\right)^{10}$
$\Rightarrow A=5000\left(\frac{110}{100}\right)^{10}$
$\Rightarrow A=5000(1.1)^{10}$
$\Rightarrow A=5000 \times 2.594$
$\Rightarrow A=12970$
Ans) The amount after years will be Rs.12970