Rakesh borrowed Rs.5000 from Ganesh at simple interest. If Ganesh got Rs. 500 more than his capital after 5 years, then the rate of interest per annum is:
- Here, P = Rs. 5000, I = Rs. 500, T = 5 years. Therefore, using the formula R = 100 x I P x T We have, rate of interest (R) = 100 x 500 = 2% p.a. 5000 x 5
Simple interest is calculated on the original amount of the principal only and not on the accumulated interest.
Formula for calculating Simple Interest (SI):
SI = (Principal Amount × Interest Rate × Time Period)/100
Given,
Principal Amount (P) = Rs. 5000
Time Period (T) = 5 years
Interest Received by Ganesh (I) = Rs. 500
To calculate the rate of interest, we need to equate the given formula for Simple Interest with the given data.
SI = (Principal Amount × Interest Rate × Time Period)/100
⇒ 500 = (5000 × Interest Rate × 5) / 100
⇒ Interest Rate = 500 × 100 / (5000 × 5)
⇒ Interest Rate = 2%
Hence, the rate of interest per annum is 2%.
Submit Comment/FeedBack