Question

calculator the Rate of interest in percentage per annum of compound interest of 5000 become 20000 in 4 years a)100% b) 50% c) 41.4% d) 36.4

Answer 1

Answer:

Calculating......

Answer

Answer 2

$\fontsize{18}{10}{\textup{\textbf{The correct option is (c). 41.4.}}}$

Step-by-step explanation:  

We know that the formula for amount calculated on compound interest on a principal of P at the rate of r% in n number of years is

$A=P\left(1+\dfrac{r}{100}\right)^n.$

According to the given information, we have

P = 5, n = 4,  A = 20000,  r = ?

We have

$20000=5000\left(1+\dfrac{r}{100}\right)^4\\\\\\\Rightarrow \dfrac{20000}{5000}=\left(1+\dfrac{r}{100}\right)^4\\\\\\\Rightarrow 4=\left(1+\dfrac{r}{100}\right)^4\\\\\\\Rightarrow \sqrt[4]{4}=1+\dfrac{r}{100}\\\\\Rightarrow 1.414=1+\dfrac{r}{100}\\\\\Rightarrow 0.414=\dfrac{r}{100}\\\\\Rightarrow r=41.4.$

Thus, the required rate of interest is 41.4%.

Option (c) is CORRECT.

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Question : Calculate the rate of interest in percentage of per annum of compound interest if Rs 5000 becomes 20000 in 4 years.

Link : https://brainly.in/question/14267659.