Question

Compute the compound interest on Rs, 12000 for 2 years at 20% per annum when compounded half yearly​

Answer 1

Answer:

5 %

Step-by-step explanation:

it is correct answer sister and brother

Answer 2

$\large\underline{ \underline{ \sf \maltese{ \: Question:- }}}$

• Compute the compound interest on Rs, 12000 for 2 years at 20% per annum when compounded half yearly

$\large\underline{ \underline{ \sf \maltese{ \: Given:- }}}$

• Principal ( p ) = $\sf\green{ Rs,12000}$
• Rate ( r ) = $\sf\green{ 20\%}$
• Time ( n ) = $\sf\green{2 \: Years}$

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$\large\underline{ \underline{ \sf \maltese{ \: Solution:- }}}$

$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\:\sf{Amount \: after \: 2 \: years \: = \: P\:\: \bigg(1 \: + \dfrac{R}{200}\bigg)^{2n}} }} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \: \sf{ \: \: 12000\:\: \bigg(1 \: + \dfrac{20}{200}\bigg)^{2 \times 2}} }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \: \sf{ \: \: 12000\:\: \bigg(1 \: + \dfrac{ \cancel2 \cancel0}{ \cancel20 \cancel0}\bigg)^{4}} }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \: \sf{ \: \: 12000\:\: \bigg(1 \: + \dfrac{ 1}{ 10}\bigg)^{4}} }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \: \sf{ \: \: 12000\:\: \bigg(\dfrac{ 11}{ 10}\bigg)^{4}} }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \: \sf{ \: \: 12000\: \times \: \bigg(\dfrac{ 11}{ 10}\bigg)} \: \times \bigg(\dfrac{ 11}{ 10}\bigg) }} \times \bigg(\dfrac{ 11}{ 10}\bigg) \times \bigg(\dfrac{ 11}{ 10}\bigg)$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \: \sf{ \: \: 12 \cancel{000}\: \times \: \bigg(\dfrac{ 14641}{ 10 \cancel{000}}\bigg)} \:}}$

$\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{ \: Amount \: = \: Rs, 17569.20 }}}$

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$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\:\sf{Compound \: interest \: = \: Amount \: - \: Principal }}} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \: \sf{ \: cp \: = \: 17569.20 \: - \: 12000 }}}$

$\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{ \: Compound \: Interest\: = \: Rs,5569.20 }}}$

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$\bf \therefore \; Compound \; Interest = Rs, 5569.20$

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More For Knowledge:-

$\boxed{\begin{minipage}{5cm}\bigstar \:\underline{\textbf{Profit and Loss Formulas :}}\\\\ \\ \sf {\textcircled{\footnotesize\textsf{1}}} \:S.P. = \sf \bigg\lgroup\dfrac{100 + Profit \%}{100}\bigg\rgroup \times 100 \\\\\\ \sf {\textcircled{\footnotesize\textsf{2}}} \:\:C.P. = \sf \dfrac{S.P. \times 100}{100 + Profit \%} \\\\\\\sf{\textcircled{\footnotesize\textsf{3}}} \:\:Profit = \sf \dfrac{Profit \% \times C.P.}{100} \\\\\\ \sf{\textcircled{\footnotesize\textsf{4}}} \: \:Profit (gain) = S.P. - C.P. \\\\\\\sf{\textcircled{\footnotesize\textsf{5}}} \: \: \sf Profit \% = \dfrac{Profit}{C.P.} \times 100 \end{minipage}}$

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