Question

If difference between C.I and s.i ₹21 with 5%annual rate in 2 years find the principale?​

Answer 1

Given :

Difference : ₹21

Rate of interest : 5%

Time : 2 years

To find :

The principle amount.

Solution :

We can find the value of the principle by the formula of the difference between the compound interest and simple interest.

$\sf \dashrightarrow Difference = Principle \bigg( \dfrac{Rate}{100} \bigg)^{Time}$

$\sf \dashrightarrow 21 = P \bigg( \dfrac{5}{100} \bigg)^{2}$

$\sf \dashrightarrow 21 = P \bigg( \dfrac{5^2}{100^2} \bigg)$

$\sf \dashrightarrow 21 = P \bigg( \dfrac{25}{10000} \bigg)$

$\sf \dashrightarrow 21 = P \bigg( \dfrac{1}{400} \bigg)$

$\sf \dashrightarrow 21 = \dfrac{1P}{400}$

$\sf \dashrightarrow \dfrac{1P}{400} = 21$

$\sf \dashrightarrow 1P = 21 \times 400$

$\sf \dashrightarrow 1P = 8400$

$\sf \dashrightarrow P = \dfrac{8400}{1}$

$\sf \dashrightarrow P = 8400$

Hence, the principle amount is ₹8400.

Answer 2

Answer:

Step-by-step explanation: