Question

Please tennetiraj86 please answer this I will Mark you brainlist.​

Answer 1

Answer:

$\begin{gathered}{\underline{\underline{\maltese{\large{\textsf{\textbf{ Given:}}}}}}}\end{gathered}$

• $\dashrightarrow$Principle = Rs.256 0per quarterly
• $\dashrightarrow$Rate of Interest = 100% per annumn
• $\dashrightarrow$Time = 1 year

$\begin{gathered}\end{gathered}$

$\begin{gathered}{\underline{\underline{\maltese{\large{\textsf{\textbf{ To Find:}}}}}}}\end{gathered}$

• $\dashrightarrow$Amount
• $\dashrightarrow$Compound Interest

$\begin{gathered}\end{gathered}$

$\begin{gathered}{\underline{\underline{\maltese{\large{\textsf{\textbf{ Using Formula:}}}}}}}\end{gathered}$

${\large\dag}{\underline{\sf{\boxed{\sf{Amount = P \bigg \{ 1 + \dfrac{R }{100} \bigg\}^{n}}}}}}$

$\dag{\underline{\boxed{\sf{Compound \: Interest ={Amount- Principle }}}}}$

$\begin{gathered}\end{gathered}$

$\begin{gathered}{\underline{\underline{\maltese{\large{\textsf{\textbf{ Solution:}}}}}}}\end{gathered}$

${\dag \: {\underline{\underline{\frak{\red{Here \::}}}}}}$

The Principle is 256 per quarterly,

As we know that,

$\quad\dashrightarrow{\sf{1 \: year = 4 \: months}}$

So,

$\quad\dashrightarrow{\sf{Rate \: of \: Interest = \dfrac{100}{4} }}$

$\quad\dashrightarrow{\sf{Rate \: of \: Interest = \cancel{\dfrac{100}{4}}}}$

$\quad\dashrightarrow{\sf{Rate \: of \: Interest = 25 \%}}$

• $\dashrightarrow$ Hence, The rate of Interest 25% per quarterly

$\begin{gathered}\end{gathered}$

${\dag \: {\underline{\underline{\frak{\red{Thus\::}}}}}}$

• $\dashrightarrow$ Principle = Rs.256 per quarterly
• $\dashrightarrow$ Time = 4 quarterly
• $\dashrightarrow$ Rate of Interest = 25% per quarterly

$\begin{gathered}\end{gathered}$

${\dag \: {\underline{\underline{\frak{\red{Finding \: the \: Amount \: of \: 1 \: year \::}}}}}}$

$\quad{: \implies{\sf{Amount = P \bigg(1 + \dfrac{R }{100} \bigg)^{n}}}}$

• Substituting the values

$\quad{: \implies{\sf{Amount = 256 \bigg(1 + \dfrac{25}{100} \bigg)^{4}}}}$

$\quad{: \implies{\sf{Amount = 256 \bigg(1 + {\cancel\dfrac{25}{100}} \bigg)^{4}}}}$

$\quad{: \implies{\sf{Amount = 256 \bigg(1 + \dfrac{1}{4} \bigg)^{4}}}}$

$\quad{: \implies{\sf{Amount = 256 \bigg( \dfrac{(1 \times 4) + 1}{4} \bigg)^{4}}}}$

$\quad{: \implies{\sf{Amount = 256 \bigg( \dfrac{4 + 1}{4} \bigg)^{4}}}}$

$\quad{: \implies{\sf{Amount = 256 \bigg( \dfrac{5}{4} \bigg)^{4}}}}$

$\quad{: \implies{\sf{Amount = 256 \bigg( \dfrac{5}{4} \times \dfrac{5}{4} \times \dfrac{5}{4} \times \dfrac{5}{4} \bigg)}}}$

$\quad{: \implies{\sf{Amount = 256 \bigg( \dfrac{625}{256} \bigg)}}}$

$\quad{: \implies{\sf{Amount = 256 \times \dfrac{625}{256}}}}$

$\quad{: \implies{\sf{Amount = \cancel{256} \times \dfrac{625}{\cancel{256}}}}}$

$\quad{: \implies{\sf{Amount = {625}}}}$

$\quad\dag{\underline{\boxed{\sf{\pink{Amount = {625}}}}}}$

• $\dashrightarrow$ Hence, The Amount is Rs.625

$\begin{gathered}\end{gathered}$

${\dag \: {\underline{\underline{\frak{\red{Finding \: Compound \: Interest \::}}}}}}$

$\quad {: \implies{\sf{Compound \: Interest ={Amount- Principle }}}}$

• Substituting the values

$\quad {: \implies{\sf{Compound \: Interest ={625- 256}}}}$

$\quad {: \implies{\sf{Compound \: Interest ={369}}}}$

$\quad\dag\underline{\boxed{\sf{\pink{Compound \: Interest ={369}}}}}$

• $\dashrightarrow$ Henceforth,The Compound Interest is Rs.369.

$\begin{gathered}\end{gathered}$

$\begin{gathered}{\underline{\underline{\maltese{\large{\textsf{\textbf{ Additional Information :}}}}}}}\end{gathered}$

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} \dag \: \underline{\bf{More \: Useful \: Formula}}\\ {\boxed{\begin{array}{cc}\dashrightarrow {\sf{Amount = Principle + Interest}} \\ \\ \dashrightarrow \sf{ P=Amount - Interest }\\ \\ \dashrightarrow \sf{ S.I = \dfrac{P \times R \times T}{100}} \\ \\ \dashrightarrow \sf{P = \dfrac{Interest \times 100 }{Time \times Rate}} \\ \\ \dashrightarrow \sf{P = \dfrac{Amount\times 100 }{100 + (Time \times Rate)}} \\ \end{array}}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}$

Answer 2

Explanation:

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