Question

In how many years will a sum of Rs 4000 amount to Rs 5290 at 15% per annum if the interest is compounded annually ?

Answer 1

Answer:

In 2years

Step-by-step explanation:

Answer 2

Answer:

15% is the answer.

According to the question :-

A= 5290 Rupees

P = 4000 Rupees

T = 2 Year

R = ?

Full solution

$\sf{= > a = p { (1 + \frac{r}{100} ) }^{2}}$

$\therefore \: 5290 = 4000( {1 + \frac{r}{100})}^{2}$

$= > \frac{5290}{4000} = {(1 + \frac{r}{100} )}^{2}$

$= > \sqrt{ \frac{5290}{400} } = 1 + \frac{r}{100}$

$= > \sqrt{ { \frac{23}{20} }^{2} } = 1 + \frac{r}{100}$

$= > \frac{23}{20} = 1 + \frac{r}{100}$

$= > \frac{23}{20} - 1 = \frac{r}{100 }$

$= > \frac{23 - 20}{20} = \frac{r}{100}$

$= > \frac{3}{20} = \frac{r}{100}$

$\sf{= > Rate = \frac{3}{20} \times 100 = 15\%}$

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