Question

Find compound interest on ₹ 200 at 10% per annum for 2 years
​

Answer 1

Answer :-

Compound Interest = ₹42.

Explanation :-

Given :

• Principal = ₹200.
• Rate per annum = 10%
• Time = 2 Years.

To Find :

• Compound Interest.

Solution :

Formula Used :-

$\boxed{\sf{A = P{\bigg(1 + \dfrac{r}{100}\bigg)}^{n} }}$

$\dashrightarrow{\sf{A = 200{\bigg(1 + \dfrac{10}{100}\bigg)}^{2} }}$

$\dashrightarrow{\sf{A = 200{\bigg(\dfrac{100 + 10}{100}\bigg)}^{2} }}$

$\dashrightarrow{\sf{A = 200{\bigg(\dfrac{110}{100}\bigg)}^{2} }}$

$\dashrightarrow{\sf{A = 200 \times \dfrac{110}{100} \times \dfrac{110}{100} }}$

$\dashrightarrow{\sf{A = 2 \times 11 \times 11}}$

$\dashrightarrow{\bf\red{A = Rs. \: 242 }}$

Now, Calculating Compound Interest.

C.I. = Amount – Principal.

➙ C.I. = ₹242 – ₹200.

➙ C.I. = ₹42.

Therefore,

Compound Interest = ₹42.

Answer 2

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

⠀⠀⠀⠀

• Principle = Rs. 200
• Rate = 10%
• Time = 2 years

______________________

$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

⠀⠀⠀⠀

• Compound Interest = ??

______________________

$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

⠀⠀⠀⠀

$\sf{\red{\boxed{\bold{Amount = Principle \bigg\lgroup 1 + \dfrac{r}{100}\bigg\rgroup ^{time}}}}}$

⠀⠀⠀⠀

$\sf :\implies\:{\bold{ Amount = 200 \bigg\lgroup 1 + \dfrac{10}{100}\bigg\rgroup^{2}}}$

⠀⠀⠀⠀

$\sf :\implies\:{\bold{ Amount = 200 \bigg\lgroup 1 + \dfrac{1}{10}\bigg\rgroup^{2}}}$

⠀⠀⠀⠀

$\sf :\implies\:{\bold{ Amount = 200 \bigg\lgroup \dfrac{10 + 1 }{10}\bigg\rgroup^{2}}}$

⠀⠀⠀⠀

$\sf :\implies\:{\bold{ Amount = 200 \bigg\lgroup \dfrac{11}{10}\bigg\rgroup^{2}}}$

⠀⠀⠀

$\sf :\implies\:{\bold{ Amount = 200 \times\dfrac{11}{10}\times \dfrac{11}{10}}}$

⠀⠀⠀⠀

$\sf :\implies\:{\bold{ Amount = 20 \times\dfrac{11}{10}\times {11}}}$

⠀⠀⠀⠀

$\sf :\implies\:{\bold{ Amount = 2\times{11}\times{11}}}$

⠀⠀⠀⠀

$\sf :\implies\:{\bold{ Amount = 2\times 121}}$

⠀⠀⠀⠀⠀⠀⠀⠀

$\sf :\implies\:{\bold{ Amount = Rs. 242}}$

⠀⠀⠀⠀⠀⠀⠀⠀

$\sf{\red{\boxed{\bold{CI = Amount - Principle}}}}$

⠀⠀⠀⠀⠀⠀⠀⠀

$\sf :\implies\:{\bold{CI = Rs. 242 - Rs. 200}}$

⠀⠀⠀⠀

$\sf :\implies\:{\bold{CI = Rs. 42}}$

______________________

$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

⠀⠀⠀⠀

• Rs. 200 will earn Rs. 42 as Compound Interest in 2 years at 10% per annum