Question

Calculate the amount of 31250 at the end of 2years and 6 months, compounded annually at 8% per annum.​

Answer 1

Solution :

Given :

• Principal = Rs.31250
• Rate = 8%
• Time = 2 years 6 months [∴ 6/12 = 1/2 years]

$\bf{\underline{\bf{Explanation\::}}}}$

We know that formula of the compounded annually :

$\boxed{\bf{A=P\bigg(1+\frac{R}{100} \bigg)^{n} }}}}}$

$\mapsto\tt{A=31250\bigg(1+\cancel{\dfrac{8}{100}} \bigg)^{2} \times \bigg(1+\dfrac{1}{\cancel{2}} \times \dfrac{\cancel{8}}{100} \bigg)}\\\\\\\mapsto\tt{A=31250\bigg(1+\dfrac{2}{25} \bigg)^{2} \times \bigg(1+\cancel{\dfrac{4}{100}}\bigg)} \\\\\\\mapsto\tt{A=31250\bigg(\dfrac{25+2}{25} \bigg)^{2} \times \bigg(1+\dfrac{1}{25} \bigg)}\\\\\\\mapsto\tt{A=31250\times \dfrac{27}{25} \times \dfrac{27}{25} \times \bigg(\dfrac{25+1}{25} \bigg)}$

$\mapsto\tt{A=\cancel{31250}\times \dfrac{27}{\cancel{25}}\times \dfrac{27}{\cancel{25}}\times \dfrac{26}{\cancel{25}} }\\\\\\\mapsto\tt{A=Rs.(2\times 27\times 27\times 26)}\\\\\\\mapsto\bf{A=Rs.37908}$

Thus;

The amount of compounded annually will be Rs.37908.

Answer 2

Answer:

This is the answer of this question