Question

if the difference between Si and CI is 72 at 12% for 2 years calculate the amount​

Answer 1

Given:

The difference between S.I. and C.I. = Rs. 72

The rate of interest = 12%

Time period = 2 years

To find:

The amount

Solution:

The formula to find the difference between compound interest and simple interest on a certain principal and at certain rate of interest for 2 years is as follows:

$\boxed{\bold{D\:=\:P\:\times\:[\frac{R}{100} ]^2}}$

By substituting the value of the D i.e., difference and R i.e., rate of interest in the above formula, we will find the value of P i.e., principal.

∴ $72\:=\:P\:\times\:[\frac{12}{100} ]^2$

⇒ $72\:=\:P\:\times\:[\frac{144}{10000} ]$

⇒ $P\:=\:[\frac{72\:\times\:10000}{144} ]$

⇒ $P\:=\:Rs.\:5000$

Finding the amount for Simple Interest:

P = Rs. 5000

R = 12%

T = 2 years

∴ $S.I. = \frac{PRT}{100} = \frac{5000\times 12\times 2}{100} = Rs. \:1200$

∴ Amount = P + S.I. = Rs. 5000 + Rs. 1200 = Rs. 6200

Finding the amount for Compound Interest:

P = Rs. 5000

R = 12%

n = 2 years

$\therefore Amount = P\times [1+\frac{R}{100}]^n = 5000\times [1+\frac{12}{100}]^2 = 5000\times [\frac{112}{100}]^2=5000\:\times\:1.2544 = \underline{\bold{Rs. \:6272}}$

----------------------------------------------------------------------------------------------

Also View:

Shortcut formula for difference between si and ci for 2 years

https://brainly.in/question/8340471

The difference between CI and Si on rupees 8400 for 2 years is rupees 21 at the same rate of interest per year find the rate of interest.

https://brainly.in/question/8162955