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

[tex]\large\underline{\sf{Solution-}}[/tex]

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

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

So, on substituting the values, we get

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

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

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

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

[tex]\rm\implies \:Amount \: = \: Rs \: 3125 \\ [/tex]

Now,

[tex]\rm \: Compound\:interest = Amount - Principal \\ [/tex]

[tex]\rm \: Compound\:interest = 3125 - 2500 \\ [/tex]

[tex]\rm\implies \:Compound\:interest \: = \: Rs \: 625 \\ [/tex]

[tex]\rule{190pt}{2pt}[/tex]

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

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

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

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

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

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