Question

Question:
Find CI on Rs 12600 for 2 years at 10% per annum compounded annually.

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Answer 1

$\bf{\underline{\underline \green{Solution:-}}}$

$\frak\red{Need\:To\:Find}\begin{cases}\sf\blue{\underline{The \: Compound \: Interest = Rs\:2,646}}\end{cases}$

$\frak\red{Given}\begin{cases}\sf\red{\underline{Principal\:(P) = 12600}} \\ \sf\blue{\underline{Time = 2\: Years}} \\\sf\pink{\underline{Rate\:(R) = 100\%\:per\:annum}}\end{cases}$

$\frak\red{Need\:To\:Find}\begin{cases}\sf\blue{\underline{The \: Compound \: Interest = \:? }}\end{cases}$

$\bf{\underline{\underline \green{ExPlanation:-}}}$

$\underline\mathtt \orange{Formula\:used\:here:-}$

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

$\underline\mathtt \orange{Putting\:the\:values:-}$

$\longrightarrow \sf \red {A = 12600 \bigg(1 + \dfrac{10}{100}\bigg)^2}$

$\longrightarrow \sf \red {12600 \bigg(1 + \dfrac{1}{10}\bigg)^2}$

$\longrightarrow \sf \red {12600 \bigg(\dfrac{10 + 1}{10}\bigg)^2}$

$\longrightarrow \sf \red {12600 \bigg(\dfrac{11}{10}\bigg)^2}$

$\longrightarrow \sf \red {12600 \times \dfrac{121}{100}}$

$\longrightarrow \sf \red {126 \times 121}$

$\longrightarrow \underline \mathsf \pink {15246}$

$\underline\mathtt \orange{ThereFore:}$

• $\small\orange{\underline {\boxed{\sf\green{ Amount \: after \: 2 \: years = Rs\:15,246} }}}$

$\underline\mathtt \orange{Now, Again \: Formula\:used\:here:-}$

$\bigstar \underline \mathsf {Amount \: = \: Principal \: + \: Interest}$

$\longrightarrow\mathsf \pink {15246 \: = \: 12600 \: + \: Interest}$

$\longrightarrow\mathsf \pink {15246\: - \:12600 \: =\: Interest}$

$\longrightarrow \mathsf \pink {2646 \: = \:Interest}$

$\longrightarrow\underline \mathsf \red {Interest \: = \: 2646}$

$\underline\mathtt \orange{ThereFore:}$

• $\small\orange{\underline {\boxed{\sf\green{ Compound \: Interest = Rs\:2,646} }}}$

$\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$

Answer 2

Answer:

The compound interest is Rs. 2646.

Step-by-step explanation:

Given :

Principal = Rs. 12,600

Time = 2 years

Rate = 10%

To find :

The compound interest

Solution :

★ CI = [P(1 + R/100)^(n)] - P

⇒ CI = [12600(1 + 10/100)²] - 12600

⇒ CI = 12600(110/100)² - 12600

⇒ CI = 12600(11/10)² - 12600

⇒ CI = (12600 × 11/10 × 11/10) - 12600

⇒ CI = (126 × 11 × 11) - 12600

⇒ CI = (126 × 121) - 12600

⇒ CI = 15246 - 12600

⇒ CI = 2646

Compound Interest = Rs. 2464.

Therefore, the compound interest is 2646.