Question

find out the amount which will be Rs-13340 in 3 years at the 10% per annum compound interest ​

Answer 1

Answer:

1334

Step-by-step explanation:

Answer 2

Answer:

• Amount = Rs. 13340
• Time = 3 years
• Rate = 10% per annum
• Principal = ?

$\underline{\bigstar\:\textsf{According to the given Question :}}$

$:\implies\sf Amount = P \times \bigg(1 +\dfrac{r}{100}\bigg)^{t}\\\\\\:\implies\sf 13340 = P \times \bigg(1 +\dfrac{10}{100}\bigg)^{3}\\\\\\:\implies\sf 13340 = P \times \bigg(1 +\dfrac{1}{10}\bigg)^{3}\\\\\\:\implies\sf 13340 = P \times \bigg(\dfrac{10 + 1}{10}\bigg)^{3}\\\\\\:\implies\sf 13340 = P \times \bigg(\dfrac{11}{10}\bigg)^{3}\\\\\\:\implies\sf 13340 =P \times \dfrac{1331}{1000}\\\\\\:\implies\sf 13340 \times \dfrac{1000}{1331} = P\\\\\\:\implies\sf 10.02253 = P\\\\\\:\implies\sf P = Rs.\:10022.53$

⠀

$\therefore\:\underline{\textsf{Hence, the required sum is \textbf{Rs. 10022.53}}}.$

$\rule{200}{1}$

Formulae related to it :

$\bigstar\:\underline{\boxed{\sf Amount = P \times \bigg(1 +\dfrac{r}{100}\bigg)^{t}}}$

⠀

$\bigstar\:\underline{\boxed{\sf CI = P \bigg[\bigg(1 + \dfrac{r}{100}\bigg)^{t} - 1\bigg]}}$