Simple Interest Definition
Principals (P):
The original Sum of Money Loaned/deposited.Interest (I):
The amount of money that you pay to borrow money or the amount of money that you earn on a depositTime (T):
The duration for which the money is borrowed/deposited.Rate of Interest (R):
the percent of interest that you pay for money borrowed, or earn for money deposited.Formula for Calculating S.I
Where
P= Principal
R- Rate of Interest (in %)
T = Time period.
Examples:
Question. What is the S.I on 7500/- at the rate of 10% per annum for 6 years
Solution:
Question 2. A man borrowed Rs 15000/- at the rate 24% S.I and clear debt after 6 years, how much Rs. has to return.
Solution:Compound Interest
Definition
Internal calculation on initial principal and also on the accumulated interest of previous periods of deposit or loanFormula:
Formula for calculation of compound interestFor Example:
A took three years loan of Rs. 10000 at an interest rate of 5% that compound annually. What would be the compound interest?Elaboration
Year | Opening Balance(P) | Interest (I) 5% | Closing Balance (P+I) |
1. | 10000 | 500 | 10,500.00 |
2. | 10500 | 525 | 11025 |
3. | 11025 | 551 | 11576 |
Compound Interest Payment can be made
- Monthly = 12
- Quarterly = 4
- Semi- annually= 2
- Annually = 1.
(It means I should be divided by no. of time it is compounded)
For Example:
Ram invested Rs. 2000 for 2 years at the rate of 5% that is compounded annually. What will be C.I?Taking the same example compounded Monthly