
Simple Interest is a commercial mathematical application to calculate the interest payable on any loan or due amount to the party. It is used extensively in the financial sector, including the banks, financial institutions, to mortgage any property in return for payments calculated as Simple/ Compound Interest. Interest is the extra money that we pay, along with the principal amount to the lender.
Simple Interest is widely used in the banking and financial sector for loan related activities and transactions. When a person takes a loan from the bank, the repayable amount is calculated based on their interests. Therefore, Simple Interest and Compound Interest is an integral part of the Quantitative Aptitude section of various academic and professional entrance exams. Hence knowledge of simple interest is essential to solving compound interest problems.
Also Read: MBA Preparation: Tips to Prepare for MBA Entrance Exams
- What is Simple Interest?
- Difference Between Simple Interest and Compound Interest
- CAT Quantitative Aptitude questions for practice with solutions
- Simple Interest Formula: Important Questions
- FAQs on Quantitative Aptitude Preparation
What is Simple Interest?
Simple Interest is a broad topic mixed with the compound interest to check for their differences. Banks provide loans on compound interest rate because it fetches more interest on their principal in the same tenure. Nearly all financial institutions use the compound interest rate. But the simple interest calculation is an integral part of compound interest as the first interest in Compound Interest is calculated using the simple interest formula. Let's understand it further:
Simple Interest
Simple Interest is the interest calculated on the principal amount you have to pay to the lender. The borrowed sum is called the principal amount. Due to the borrower’s timely help, the lender agrees to pay them some portion of money calculated on the principal amount as interest. This interest is calculated using the Simple Interest formula given below.
Simple interest formula: (P * R * T)/100
Where,
- P - Principal
- R - Rate
- T - Time
Total repayable amount (A) = P + SI (Simple Interest)
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Simple Interest for Months
The above formula given is for the annual calculation of interest. But there is an alternative formula to calculate interest every month. Monthly concepts are used in gold financial institutions like the Muthoot, Malappuram loan services, which usually charge interest based on months.
Simple Interest formula:
SI = (P * R * n)/ (12*100)
Where, n – number of times (monthly) the interest is calculated in a year.
Difference Between Simple Interest and Compound Interest
The fundamental difference between Simple Interest and Compound Interest is their nature and calculation strategies. While the simple interest is solely calculated on the principal amount, the compound interest is calculated on the principal amount and the interest generated. So compound interest is the interest on the interest. Hence, compound interest will always be equal to or greater than simple interest. Check the table below for better understanding of difference between Simple Interest and Compound Interest.
| Particulars |
Simple Interest |
Compound Interest |
|---|---|---|
| Definition |
Interest is calculated on principal amount |
Interest is calculated on principal amount and accumulated interest |
| Growth |
Linear |
Exponential |
| Impact of Time |
Interest Remains Constant |
Interest Increases with Time |
| Borrowing |
Preferred for borrowing as it results in lower payable interest |
Not preferred for borrowing due to higher interest to be paid |
| Total Amount |
Principal + Interest |
Principal + Compound Interest |
| Formula |
(Principal x Rate x Time) / 100 |
Principal x (1 + Rate)^Time – Principal |
Read More: Difference between Simple Interest and Compound Interest
Simple Interest Formula & Examples
Q 1: A principal amount of Rs 10,000 is taken at 15% interest rate p.a. for two years. Calculate the SI on this sum and the final payable amount.
Solution: W.
Interest charged on Rs 10,000 is, 15/100 * 10,000 = Rs 1,500
Interest for two years = Rs 1,500 × 2 = Rs 3,000
The amount payable after two years = principal + interest
= Rs 10,000 + Rs 3,000 = Rs 13,000
Q 2: Calculate the Interest on the principal amount of Rs 20000 for one year at R=8%?
Solution: Assume the Principal for the first year to be P. Here, P = Rs 20,000
SI = SI at 8% per annum for the first year = Rs 20,000 * 8 /100 × = Rs 1,600
Q 3: Can interest be calculated daily?
Solution: Yes, One can calculate the interest daily by replacing the formula with n days in the numerator.
Read More:
CAT Quantitative Aptitude questions for practice with solutions
Quantitative Aptitude is all about understanding concepts and practice fo questions. The more you practice questions the better will get your grip on the Quants topics. Get here downloadable PDFs of sample questions and practice tests for Quantitative Aptitude.
Download more Free PDFs of Quantitative Aptitude Sample Questions and Answers for Practice
Simple Interest Formula: Important Questions
Q: Why do we calculate simple interest?
Q: How many types of simple interest are there?
Q: What are the two types of interest?
Q: Is simple interest easy to calculate?
Q: What is simple interest formula?
- P - Principal
- R - Rate
- T - Time
FAQs on Quantitative Aptitude Preparation
Check below some Frequenly Asked Questions (FAQs) on Quantitative Aptitude:
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