Concept: Simple Interest (SI)
Simple Interest: Calculated only on the principal amount (the original sum borrowed), without considering previously earned interest.
Interest: The "Extra Money" paid to recipients on the principal amount.
Amount = Principal + Simple Interest
💡 Exam Tip: Keywords for Principal
In exams, look for these words which refer to the Principal:
- Lending money
- Borrowed
- Sum of Amount or "Sum"
Important Formula's : -
1. Simple Interest Formula: $S.I. = \frac{P \times R \times T}{100}$
2. Total Amount (A): $A = Principal (P) + Interest (I)$
Principal (P) = Sum borrowed; Rate (R) = % per annum; Time (T) = Duration in years.
Simple Interest: Practice Set
Master the Interest & Principal Calculations
1. What sum of money must be given as simple interest for one year at 5% per annum in order to earn ₹ 300 interest?
2. Sanjay borrowed ₹ 900 at 4% p.a. and ₹ 1100 at 5% p.a. for the same duration. He paid ₹ 364 in total interest. What is the time period?
3. A sum of money doubles in 10 years. In how many years will it triple at the same rate of simple interest?
4. A sum of money amounts to ₹ 850 in 3 years and ₹ 925 in 4 years. What is the principal sum?
5. A sum was put at SI for 2 years. Had it been put at 4% higher rate, it would have fetched ₹ 112 more. The sum is:
6.A man took a loan from a bank at the rate of 8% per annum at simple interest. After 4 years, he had to pay ₹ 6200 interest only for the period. What was the principal amount borrowed by him?
7.A sum of money becomes 5/4 of itself in 2 years at a certain rate of simple interest. What is the rate of interest per annum?
8.At simple interest of 5%, 6% and 8% for three consecutive years, the total interest earned is ₹ 760. Find the principal.
9.In how many years will a sum of ₹ 3,000 yield a simple interest of ₹ 1,080 at 12% per annum?
10.In how many years, a sum will become four times itself at the rate of 12% per annum ?
11.If ₹ 64 amounts to ₹ 83.20 in 2 years, what will ₹ 86 amount to in 4 years at the same rate percent per annum?
12.A sum of money in 3 years becomes 1344 and in 7 years it becomes Rs. 1536. What is the principal sum where simple rate of interest is to be unchanged ?
13.The simple interest on ₹ 4,000 in 3 years at R% p.a. equals the simple interest on ₹ 5,000 at 12% p.a. in 2 years. What is the value of R?
