Question

$\red{\fbox{\rm{Question}}}$

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Find the amount and the compound interest on ₹16,000 for 3 years at 5% per annum compounded annually.​

Answer 1

$\huge\sf\red{Question :-}$

Find the amount and the compound interest on ₹16,000 for 3 years at 5% per annum compounded annually.

$\huge\sf\red{Solution :-}$

Principal = (P) = ₹16, 000

Time = (t) = 3 years

Rate = (r) = 5%

Amount = Principal × (1 + (r/2 × 100)) n × 2

= ₹ 16,000 × (1+ (5/200)) 3 × 2

= ₹16,000 × (205/200)6

= ₹ 16,000 × 41/40 × 41/40 × 41/40 × 41/40 × 41/40 × 41/40

= ₹ 18,555

C.I. = Amount – Principal

= ₹ 18,555 - ₹ 16,000

$\huge\red{\fbox{\rm{₹2555}}}$

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Hope Helps ! :)

Answer 2

$\huge\color{red}{Question:-}$

• Find the amount and the compound interest on ₹16,000 for 3 years at 5% per annum compounded annually.

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$\huge\color{red}{Solution:-}$

Given:

1. Principal = ₹16000
2. Rate = 5%
3. Time = 3 years

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$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\:Amount \: = \: Principal \: × \: (1 + \frac{r}{100} ) ^{t \times 2} }} }\\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: \:Amount \: = \: 16000 \: × \: (1 + \frac{5}{100} ) ^{3 \times 2}\\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: Amount \: = \: 16000 \: × \: ( \frac{205}{100} ) ^{ 6}\\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: Amount \: = \: 16000 \: × \frac{41}{40} \times \frac{41}{40} \times \frac{41}{40} \times \frac{41}{40} \times \frac{41}{40} \times \frac{41}{40} \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\: Amount\: = \: ₹18,555}} }\\ \\\end{gathered}\end{gathered}$

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$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\: CI \: = \: Amount \: - \: Principal }} }\\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: CI \: = \: ₹18555 \: - \: ₹16000 \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\: CI \: = \: ₹ 2555 }} }\\ \\\end{gathered}\end{gathered}$

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