Math, asked by pragyarani2801, 18 days ago

QUESTION
QUESTION
QUESTION
QUESTION
PLEASE ANSWER PLEASE
using the formula calculate the amount and the CI in each of the following question:
b. P= rupees 2500;R=8%;N=3years​

Answers

Answered by mathdude500
15

\large\underline{\sf{Solution-}}

Given that,

Principal, P = Rs 2500

Rate of interest, r = 8 % per annum compounded annually.

Time, n = 3 years

We know,

Amount received on a certain sum of money of Rs P invested at the rate of r % per annum compounded annually for n years is given by

\boxed{ \rm{ \:Amount  \: =  \: P \:  {\bigg[1 + \dfrac{r}{100} \bigg]}^{n} \: }} \\

So, on substituting the values, we get

\rm \: Amount  \: =  \: 2500 \:  {\bigg[1 + \dfrac{8}{100} \bigg]}^{3} \\

\rm \: Amount  \: =  \: 2500 \:  {\bigg[1 + \dfrac{2}{25} \bigg]}^{3} \\

\rm \: Amount  \: =  \: 2500 \:  {\bigg[\dfrac{25 + 2}{25} \bigg]}^{3} \\

\rm \: Amount  \: =  \: 2500 \:  {\bigg[\dfrac{27}{25} \bigg]}^{3} \\

\rm\implies \:Amount \:  =  \: Rs \: 3125 \\

Now,

\rm \: Compound\:interest = Amount - Principal \\

\rm \: Compound\:interest = 3125 - 2500 \\

\rm\implies \:Compound\:interest  \: =  \: Rs \: 625 \\

\rule{190pt}{2pt}

Additional Information :-

1. Amount received on a certain sum of money of Rs P invested at the rate of r % per annum compounded semi - annually for n years is given by

\boxed{ \rm{ \:Amount  \: =  \: P \:  {\bigg[1 + \dfrac{r}{200} \bigg]}^{2n} \: }} \\

2. Amount received on a certain sum of money of Rs P invested at the rate of r % per annum compounded quarterly for n years is given by

\boxed{ \rm{ \:Amount  \: =  \: P \:  {\bigg[1 + \dfrac{r}{400} \bigg]}^{4n} \: }} \\

3. Amount received on a certain sum of money of Rs P invested at the rate of r % per annum compounded monthly for n years is given by

\boxed{ \rm{ \:Amount  \: =  \: P \:  {\bigg[1 + \dfrac{r}{1200} \bigg]}^{12n} \: }} \\

Answered by Anonymous
1

Answer:

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Step-by-step explanation:

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