Question

hema rent Rs.40960 to pankaj at the rate of 6¼% per annum compound interest. Find the amount payable by pankaj to hema after 3 year​

Answer 1

49130 Rs. is amount payable by Pankaj to Hema after 3 year​

Step-by-step explanation:

• Given data

        Principal amount (P) = 40960 Rs

        Time of duration (T) = 3 Years

        Rate of interest (R)  $\mathbf{=6\tfrac{1}{4}=\frac{25}{4}}$ %

        Amount after 3 years = A =Unknown

• From formula of compound interest

        $\mathbf{A=P\left ( 1 +\frac{R}{100} \right )^{T}}$

• On pitting respective value, we get

        $\mathbf{A=40960\times \left ( 1 +\frac{25}{4\times 100} \right )^{3}}$

        $\mathbf{A=40960\times \left ( 1 +\frac{1}{4\times 4} \right )^{3}}$

        $\mathbf{A=40960\times \left ( 1 +\frac{1}{16} \right )^{3}}$

        $\mathbf{A=40960\times \left ( \frac{17}{16} \right )^{3}}$

        $\mathbf{A=40960\times \frac{4913}{4096}}$

• A = 49130 Rs. =This is amount payable by Pankaj to Hema after 3 year​.

Answer 2

The amount payable by Pankaj to Hema after 3 year​s is Rs 49127.4  

Step-by-step explanation:

Given as :

The principal as rent = p = Rs 40960

The rate of interest = r = 6 $\dfrac{1}{4}$ % at compounded = $\dfrac{25}{4}$ %

The time period = t = 3 years

Let The Amount after 3 years = Rs A

From Compound Interest method

Amount = Principal × $(1+\dfrac{rate}{100})^{time}$

Or,       A = p × $(1+\dfrac{r}{100})^{t}$

Or,       A = Rs 40960  × $(1+\dfrac{25}{400})^{3}$

Or,       A = Rs 40960  × (1.0625)³

Or,       A = Rs 40960  × 1.1994

∴  Amount = Rs 49127.4

So, The Amount after 3 years = A = Rs 49127.4

Hence, The amount payable by Pankaj to Hema after 3 year​s is Rs 49127.4   Answer