Question

Find the amount and the compound interest on Rs.2500 for 2 years at 10% per annum compounded annually.

Answer 1

Step-by-step explanation:

rate for 2 year at 10% per at compound interest-

10+10+(10×10)/100

= 21%

now

2500× 21% = 525

Answer 2

AnswEr :

$\bold{Given} \begin{cases} \underline{ \footnotesize\sf{ \star \: \: Compounded\: Annually}} \\ \sf{Principal=Rs. 2500} \\ \sf{Rate=10\% \: p.a.} \\ \sf{Time=2\: Yr. }\end{cases}$

• First we will calculate Amount :

$\Longrightarrow \sf{Amount = P \times \bigg(1 + \dfrac{r}{100} \bigg)^{t} }$

$\Longrightarrow \sf{Amount = 2500 \times \bigg(1 + \cancel\dfrac{10}{100} \bigg)^{2} }$

$\Longrightarrow \sf{Amount = 2500 \times \bigg(1 + \dfrac{1}{10} \bigg)^{2} }$

$\Longrightarrow \sf{Amount = 2500 \times \bigg(\dfrac{10 + 1}{10} \bigg)^{2} }$

$\Longrightarrow \sf{Amount = 2500 \times \bigg(\dfrac{11}{10} \bigg)^{2} }$

$\Longrightarrow \sf{Amount = 25\cancel{00} \times \dfrac{11}{1\cancel0}\times \dfrac{11}{1\cancel0}}$

$\Longrightarrow \sf{Amount =25 \times 11 \times 11}$

$\Longrightarrow \boxed{\sf{Amount = Rs. \: 3025 }}$

_________________________________

• Now we will calculate Interest :

⇝ Amount = Interest + Principal

⇝ 3025 = Interest + 2500

⇝ Interest = 3025 - 2500

⇝ Interest = Rs. 525

⠀

∴ Amount will be Rs. 3025 and Interest will be Rs. 525 If Compounded Annually.