Question

what sum of money will amount to rupees 2875 in 3 years at 5% per annum simple interest ​

Answer 1

Given:

Amount after simple interest = Rs. 2875

Rate of interest = 5% per annum

Time period = 3 years

To find:

Principal sum = ?

Solution:

First of all, let us have a look at the formula for Simple Interest on a Principal sum.

$SI = \dfrac{PRT}{100}$

Where P is the principal sum

R is the rate of interest

T is the time period

And amount after adding Simple Interest is given as:

Amount = Principal Sum + Simple Interest

OR

A = P + SI ...... (1)

Here, A = Rs. 2875

R = 5%

T = 3 years

Let P be the principal sum.

Putting the values in equation (1):

$2875 = P + \dfrac{PRT}{100}\\\Rightarrow 2875 = P + \dfrac{P\times 5 \times 3}{100}\\\Rightarrow 2875 = P + \dfrac{15 P}{100}\\\Rightarrow 287500 = 100P + 15 P\\\Rightarrow 287500 =115 P\\\Rightarrow P = \dfrac{287500}{115} \\\Rightarrow \bold{P =Rs.\ 2500}$

So, the value of principal sum is Rs. 2500

Answer 2

Answer:

2500

Step-by-step explanation:

prt/100

let p= p

r=5%

t =3

2875=p+prt/100

2875=p+p*5*3/100

2875=p+15p/100

2875=100p+15p

2875=115p

2875/115=p

2500=p

p=2500