Question

5) At what R% per annum will a
sum of Rs. 3600 yield amount
of Rs. 4356 for 2 year.​

Answer 1

10%

Step-by-step explanation:

Let Rate % be R

P = Rs. 3600

A = Rs. 4356

T = 2 years

$a = p(1 + \frac{r}{100} ) {}^{n}$

$4356 = 3600( 1 + \frac{r}{100}) {}^{2}$

$\frac{4356}{3600} = (1 + \frac{r}{100} ) {}^{2}$

$\frac{121}{100} = (1 + \frac{r}{100} ) {}^{2}$

$1 + \frac{r}{100} = \sqrt{ \frac{121}{100} }$

$1 + \frac{r}{100} = \frac{11}{10}$

$\frac{r}{100} = \frac{11}{10} - 1 = \frac{1}{10}$

$r = \frac{1}{10} \times 100$

$r = 10$

Therefore, rate % is 10%

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