Question

plz solve this question and help me I mark you as brainlist and follow you
those give me wrong and inappropriate answer I will report those answers​

Answer 1

Answer:

The sum is ₹$743.76$

Required interest rate is 5.125%

Step-by-step explanation:

Let's assume that the Amount was P

At the rate of 5% per annum compounded annually for 2 years

Amount = $P(1 + \frac{R}{100} )^T$ where R is the interest rate in % annually at T is Number of cycles i.e. years.

∴ $820 = P(1 + \frac{5}{100} )^2$ $= 1.1025P$

∴ $P = \frac{820}{1.1025}$ = ₹$743.76$

Now the same Sum at r% annual simple interest for 2 years results in same amount:

$A = P(1 + \frac{rT}{100})$ where, A is the amount, P is original sum, T is number of years.

∴ $820 = \frac{820}{1.1025} (1 + \frac{r . 2}{100} )$

∴ $1.1025 = (1 + \frac{r . }{50} )$

∴ $\frac{r}{50} = 0.1025$

∴ $r = 50 . 0.1025 = 5.125$

Required interest rate is 5.125%