Question

a certain sum amounts to rupees 2970.25 in 2 years at 9% per annum compounded annually find the sum.

Answer 1

hope this answer helps you

Answer 2

Answer:

The sum is Rs.2500

Step-by-step explanation:

Given : A certain sum amounts to rupees 2970.25 in 2 years at 9% per annum compounded annually.

To find : The sum?

Solution :

Principal (P) = ?

Rate of interest (R) = 9% per annum  

Time (n) = 2 years  

Amount (A) = Rs. 2970.25

We know that,  

$A = P {(1 + \frac{r}{100} )}^{n} \\ \\ = > 2970.25 = P {(1 + \frac{9}{100}) }^{2} \\ \\ = > \frac{297025}{100} = P {( \frac{100 + 9}{100} )}^{2} \\ \\ = > \frac{297025}{100} = P {( \frac{109}{100}) }^{2} \\ \\ = > \frac{297025}{100} = P \times \frac{11881}{10000} \\ \\ = > \frac{297025}{100} \times \frac{10000}{11881} = P \\ \\ = > 2500 = P$

Hence, the Principal (P) [the sum] is Rs. 2500