calculate the amount and C I on rupees 65000 for 3years at 7 1/2 percente per annum compounded annually

Answers 1

[tex]\underline{\bf{Question:-}}[/tex]

Calculate the amount and CI on rupees 65000 for 3 years at 7.5 percentage per annum compounded annually

[tex]\underline{\bf{Given\:that:-}}[/tex]

Principle, p = 65, 000

Time period, n = 3 years

Rate of interest, r = 7.5 % per annum.

[tex]\underline{\bf{Equation\:used:-}}[/tex]

[tex]\sf{:\implies{Amount = P(1+\dfrac{r}{n})^{nt}}}[/tex]

[tex]\sf{:\implies{Compound\:Interest = P(1+\dfrac{r}{n})^{nt}-1}}[/tex]

[tex]\sf{:\implies{Amount = Principle + Compound\:Interest}}[/tex]

[tex]\underline{\bf{Solution:-}}[/tex]

[tex]\sf{\implies{Compound\:Interest = P(1+\dfrac{r}{n})^{nt}-1}}[/tex]

[tex]\sf{\implies{Compound\:Interest = 65, 000(1+\dfrac{7.5}{100})^{3}-1}}[/tex]

[tex]\sf{\implies{Compound\:Interest = 65, 000(1+0.075)^{3}-1}}[/tex]

[tex]\sf{\implies{Compound\:Interest = 65, 000[(1.075)^{3}-1]}}[/tex]

[tex]\sf{\implies{Compound\:Interest = 65, 000[1.242296-1]}}[/tex]

[tex]\sf{\implies{Compound\:Interest = 65, 000[0.242296]}}[/tex]

[tex]\sf{\implies{Compound\:Interest = 15, 749}}[/tex]

[tex]\boxed{\bf{\implies{Compound\:Interest = 15, 749}}}[/tex]

[tex]\bf{\implies{Amount = Principle + Compound\:Interest}}[/tex]

[tex]\sf{\implies{Amount = 65, 000+ 15, 749}}[/tex]

[tex]\sf{\implies{Amount = 80, 749}}[/tex]

[tex]\boxed{\bf{\implies{Amount = 80, 749}}}[/tex]

[tex]\underline{\sf{Additional\:information:-}}[/tex]

1. 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{\bf{:\implies{Amount = P(1+\dfrac{r}{n})^{nt}}}}[/tex]

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{\bf{:\implies{Amount = P(1+\dfrac{r}{200})^{2n}}}}[/tex]

3. 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{\bf{:\implies{Amount = P(1+\dfrac{r}{400})^{4n}}}}[/tex]

4. 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{\bf{:\implies{Amount = P(1+\dfrac{r}{1200})^{12n}}}}[/tex]