Question

Calculate amount if 18000 is invested at 15% per annum compounded annually for 3 years.​

Answer 1

Answer:

I thought multiply o girl

Answer 2

Solution :

$\underline{\bf{Given\::}}}}$

• Principal, (P) = Rs.18000
• Rate, (R)  = 15%
• Time, (n) = 3 years

$\underline{\bf{To\:find\::}}}}$

The amount of the compound Interest.

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

$\bigstar$Using formula of the compounded annually :

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

$\longrightarrow\sf{A=18000\bigg(1+\cancel{\dfrac{15}{100}} \bigg)^{3} }\\\\\\\longrightarrow\sf{A=18000\bigg(1+\dfrac{3}{20} \bigg)^{3} }\\\\\\\longrightarrow\sf{A=18000\bigg(\dfrac{20+3}{20} \bigg)^{3} }\\\\\\\longrightarrow\sf{A=18000\bigg(\dfrac{23}{20}\bigg)^{3} }\\\\\\\longrightarrow\sf{A=\cancel{18000}\times \dfrac{23}{\cancel{20}} \times \dfrac{23}{\cancel{20}} \times \dfrac{23}{20} }\\\\\\\longrightarrow\sf{A=\dfrac{45\times 23\times 23\times 23}{20} }$

$\longrightarrow\sf{A=\cancel{\dfrac{547515}{20} }}\\\\\\\longrightarrow\bf{A=Rs.27375.75}$

Thus;

The amount of the compound Interest will Rs.27375.75 .