Question

Calculate the amount and Compound Interest on Rs 65000 for 2 years at 8% per annum compounded annually. ​

Answer 1

Answer:

answer is in the attachment mate hope it helps

Answer 2

Given :

• Principal = Rs.65000
• Rate = 8 %
• Time = 2 years

To Find :

• Amount = ?
• Compound Interest = ?

Solution :

$\clubs$ Formula Used :

• ${\underline{\boxed{\purple{\sf{ A = P \bigg( 1 + \dfrac{R}{100} \bigg)^n }}}}}$

• ${\underline{\boxed{\purple{\sf{ C.I = Amount - Principal }}}}}$

Where :

• ➙ A = Amount
• ➙ C.I = Compound Interest
• ➙ P = Principal
• ➙ R = Rate
• ➙ n = Time

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$\clubs$ Calculating the Amount :

$\begin{gathered} :\implies \; \; \sf { A = P \bigg( 1 + \dfrac{R}{100} \bigg)^n } \\ \end{gathered}$

$\begin{gathered} :\implies \; \; \sf { A = 65000 \bigg( 1 + \dfrac{8}{100} \bigg)^2 } \\ \end{gathered}$

$\begin{gathered} :\implies \; \; \sf { A = 65000 \bigg( 1 + \cancel\dfrac{8}{100} \bigg)^2 } \\ \end{gathered}$

$\begin{gathered} :\implies \; \; \sf { A = 65000 \bigg( 1 + 0.08 \bigg)^2 } \\ \end{gathered}$

$\begin{gathered} :\implies \; \; \sf { A = 65000 \bigg( 1.08 \bigg)^2 } \\ \end{gathered}$

$\begin{gathered} :\implies \; \; \sf { A = 65000 \times 1.08 \times 1.08 } \\ \end{gathered}$

$\begin{gathered} :\implies \; \; \sf { A = 65000 \times 1.1664 } \\ \end{gathered}$

$\begin{gathered} {\qquad \; \; {\therefore \; {\underline{\boxed{\red{\pmb{\frak{ Amount = ₹ \; 75816 }}}}}}}} \end{gathered}$

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$\clubs$ Calculating the Compound Interest :

$\begin{gathered} \dashrightarrow \; \; \sf { Compound \; Interst = Amount - Principal } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { Compound \; Interst = 75816 - 65000 } \\ \end{gathered}$

$\begin{gathered} {\qquad \; \; {\therefore \; {\underline{\boxed{\color{maroon}{\pmb{\frak{ Compound \; Intrest = ₹ \; 10816 }}}}}}}} \end{gathered}$

$\\ \qquad{\rule{150pt}{1pt}}$

$\clubs$ Therefore :

❛❛ Compound Interest on this sum of money is ₹ 10816 . ❜❜

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