A deposit matures to Rs. 24 200 after 3 years at simple interest of 7% per annum.What is the principal amount of the deposit?
Answers
Answer:
Where Is the Concept of Simple Interest Used?
Simple interest may be used in the following financial situations:
Borrowing money: In the case of a loan, you will need to pay interest on the amount you have borrowed.
Lending money: In the case of a savings account, fixed deposit , or recurring deposit, you will receive the amount in the form of interest on your principal.
However, banks, financial institutions, and professional lenders in India do not use simple interest. They use compound interest instead.
Simple Interest Formula
The formula for calculating simple interest is:
(P x r x t) ÷ 100
P = Principal
r = Rate of Interest
t = Term of the loan/deposit in years
This means that you are multiplying the principal amount with the rate of interest and the tenure of the loan or deposit. Make sure you enter the tenure in years and not months. If you are entering the tenure in months, then the formula will be:
(P x r x t) ÷ (100 x 12)
If you want to find the total amount – that is, the maturity value of a deposit or the total amount payable including principal and interest, then you can use this formula:
FV = P x (1 + (r x t))
Here, FV stands for Future Value. To get the interest payable or receivable, you can subtract the principal amount from the future value.
Let's give you some examples to understand how much you will earn on your deposits, or how much you will have to pay on your loan if your bank uses simple interest.
Simple Interest Calculation in Deposits
Example 1: If you invest Rs.50,000 in a fixed deposit account for a period of 1 year at an interest rate of 8%, then the simple interest earned will be:
(50,000 x 8 x 1) ÷ 100 = Rs.4,000
The interest you will receive at the end of the 1-year tenure will be Rs.4,000. Therefore, the maturity amount of the FD will be Rs.54,000.
Example 2: If you invest Rs.8 lakh in a fixed deposit account for a period of 5 years at an FD interest rate FD interest rate of 6.85%, then the simple interest earned will be:
(8,00,000 x 6.85 x 5) ÷ 100 = Rs.2,74,000
The interest you will receive at the end of the 5-year tenure will be Rs.2.74 lakh. Therefore, the maturity amount of the FD will be Rs.10.74 lakh.
Simple Interest Calculation in Loans
Example 1: Say you borrowed Rs.5 lakh as personal loan from a lender on simple interest. The interest rate is 18% and the tenure is 3 years. The interest you will end up paying to the bank will be:
(5,00,000 x 18 x 3) ÷ 100 = Rs.2,70,000
The interest you will be paying over the period of 3 years will be Rs.2.7 lakh. Therefore, the total repayment you will make to the bank will be Rs.7.7 lakh. On a monthly basis, this would come up to around Rs.21,389.
Example 2: Say you took a car loan on simple interest. The principal amount is Rs.12 lakh, the interest rate is 7%, and the tenure is 5 years. The interest you will end up paying will be:
(12,00,000 x 7 x 5) ÷ 100 = Rs.4,20,000
The interest you will be paying over the period of 5 years will be Rs.4.2 lakh. Therefore, the total repayment you will make will be Rs.16.2 lakh. On a monthly basis, this would come up to around Rs.45,000.