Question

at what rate percent per annum will rupees 8000 amount to rupees 10000 in 2 years​

Answer 1

Rate of Interest = 11.8% p.a.

Step-by-step explanation:

We are given that Rs. 8,000 amounts to Rs. 10,000 in two years.

Assume the interest is calculated compounded annually.

Let the Principal sum of money = P

Rate of Interest = R

Time Period = T

Amount of money = A

As we know that compound interest formula is given by;

         Amount =  $\text{Principal} \times (1+ \text{Rate of Interest})^{Time}$

                                      Or

                    $A=P\times (1+R)^{T}$

Now, we are given with P = Rs 8,000 , A = Rs 10,000 and T = 2 years; we have to find the rate of interest ;

So, putting values in above equation we get;

                    $10000=8000 \times (1+R)^{2}$

                    $(1+R)^{2} = \frac{10000}{8000}$

                    $(1+R)^{2} = 1.25$

Taking square root on both sides, we get;

                         (1 + R) = $\sqrt{1.25}$

                         (1 + R) = 1.118

                           R = 1.118 - 1 = 0.118 or 11.8%

Therefore, rate of interest is 11.8% per annum.

Other links for similar type questions;

brainly.in/question/2492666

https://brainly.com/question/7014337

Answer 2

Answer:

Please mark me as brainlist