Question

A certain sum invested at 4% per annum compounded semi-annually amounts to ₹7803 at the end of the year. then the sum is

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given:

Amount,

A = 7803

Invested semi-annually amounts,

= 4%

then,

R = $\frac{1}{2}\times 4$

  = $2 \ percent$

n = 2

To find:

Sum = ?

Solution:

As we know,

⇒  $A=P(1+\frac{R}{100})^n$

On substituting the given values, we get

⇒  $7803=P(1+\frac{2}{100})^2$

⇒  $7803=P(\frac{102}{100} )^2$

⇒  $7830=P\times \frac{10404}{10000}$

⇒  $7830\times 10000=10404P$

⇒        $78300000=10404P$

⇒                   $P=\frac{78300000}{10404}$

⇒                   $P=7,525.95$

Thus the correct answer is "7,525.95"