Question

Find the compound interest on 25.000 at the rate of 12% per annum for three years​

Answer 1

Hey mate here is your answer .

Answer 2

SOLUTION :

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

• Principal, (P) = Rs.25000
• Rate, (R) = 12%
• Time, (T) = 3 years

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

The compound Interest.

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

Using Formula :

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

A/q

$\longrightarrow\sf{A=25000\bigg(1+\cancel{\dfrac{12}{100}} \bigg)^{3} }\\\\\\\longrightarrow\sf{A=25000\bigg(1+\dfrac{3}{25} \bigg)^{3} }\\\\\\\longrightarrow\sf{A=25000\bigg(\dfrac{25+3}{25} \bigg)^{3} }\\\\\\\longrightarrow\sf{A=25000\times \bigg(\dfrac{28}{25} \bigg)^{3}} \\\\\\\longrightarrow\sf{A=\cancel{25000} \times \dfrac{28}{\cancel{25}} \times \dfrac{28}{\cancel{25}} \times \dfrac{28}{25} }\\\\\\\longrightarrow\sf{A=\dfrac{40\times 28\times 28\times 28}{25} }$

$\longrightarrow\sf{A=\cancel{\dfrac{878080}{25}} }\\\\\\\longrightarrow\bf{A=Rs.35123.2}$

$\bigstar$ We know that formula of the compound Interest :

$\longrightarrow\sf{C.I.=Amount - Principal}\\\\\longrightarrow\sf{C.I.=Rs.35123.2-Rs.25000}\\\\\longrightarrow\bf{C.I.=Rs.10123.2}$