Mathematics
Grade 7
15 min
Simple interest
Simple interest
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Define simple interest, principal, interest rate, and time.
Identify the principal, interest rate, and time in a given word problem.
Convert interest rates from percentages to decimals and time from months to years.
Calculate simple interest using the formula I = Prt.
Calculate the total amount (principal + interest) after a given period.
Solve real-world problems involving simple interest.
Explain the practical applications of simple interest in personal finance.
Ever wondered how banks pay you for saving money, or how much extra you pay when you borrow? 💰 It's all thanks to something called simple interest!
In this lesson, you'll learn what simple interest is and how to calculate it. Understanding simple interest is a key skill for managin...
2
Key Concepts & Vocabulary
TermDefinitionExample
Simple InterestThe extra money paid for the use of borrowed money, or the extra money earned on money saved. It is calculated only on the original amount (principal).If you borrow $100 and pay back $110, the $10 extra is the simple interest.
Principal (P)The initial amount of money borrowed or invested.If you deposit $500 into a savings account, $500 is the principal.
Interest Rate (r)The percentage charged by the lender for the use of money, or the percentage paid by the bank for money saved. It is usually expressed as an annual percentage.A bank offers a 3% annual interest rate on savings. You must convert 3% to a decimal (0.03) for calculations.
Time (t)The duration for which the money is borrowed or invested. It must always be expressed in years for simple intere...
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Core Formulas
Simple Interest Formula
$I = Prt$
This formula calculates the simple interest (I) earned or paid. 'P' is the principal, 'r' is the annual interest rate (as a decimal), and 't' is the time in years.
Total Amount Formula
$A = P + I$
This formula calculates the total amount (A) at the end of the period. It's the original principal (P) plus the simple interest (I) earned or paid.
4 more steps in this tutorial
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Challenging
A loan of $4,000 accumulated $360 in simple interest over 18 months. What was the annual interest rate?
A.9%
B.6%
C.0.6%
D.12%
Challenging
The total amount repaid for a loan after 5 years was $3,900. If the simple annual interest rate was 6%, what was the original principal of the loan?
A.$3,000
B.$3,120
C.$2,730
D.$1,170
Challenging
An investment of $2,000 is made at a 4% simple annual interest rate. How much MORE interest is earned if the money is invested for 5 years compared to 3 years?
A.$80
B.$240
C.$160
D.$400
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