Question

Calculate the compound interest that Shweta gets by investing 9000 for 4 years
at 10% per annum​

Answer 1

Answer:

hey dere here is your answer is

Step-by-step explanation:

ci=9000(1+0.1)^4-9000=41769 rs

Answer 2

AnswEr :

$\bold{Given} \begin{cases} \sf{Principal=Rs. 9000} \\ \sf{Rate=10\%\: p.a.} \\ \sf{Time=4 \: Yr.} \\ \sf{Compound\: Interest=?}\end{cases}$

we know that CI = Amount - Principal

So, we will Calculate Amount First -

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

$\longrightarrow\sf{Amount = 9000\times \bigg(1 + \cancel\dfrac{10}{100} \bigg)^{4} }$

$\longrightarrow\sf{Amount = 9000\times \bigg(1 + \dfrac{1}{10} \bigg)^{4} }$

$\longrightarrow\sf{Amount = 9000\times \bigg(\dfrac{10 + 1}{10} \bigg)^{4} }$

$\longrightarrow\sf{Amount = 9000\times \bigg(\dfrac{11}{10} \bigg)^{4} }$

$\longrightarrow\sf{Amount = 9\cancel{000}\times\dfrac{11}{1\cancel0}\times\dfrac{11}{1\cancel0}\times\dfrac{11}{1\cancel0}\times\dfrac{11}{ 10}}$

$\longrightarrow\sf{Amount = 9 \times 1331 \times \dfrac{11}{10} }$

$\longrightarrow\sf{Amount = 11979 \times 1.1}$

$\longrightarrow\sf{Amount = Rs. \: 13176.9}$

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⟹ Compound Interest = Amount - Principal

⟹ Compound Interest = 13176.9 - 9000

⟹ Compound Interest = Rs. 4176.9

⠀

∴ CI on the sum will be Rs. 4176.9