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💰 Simple Interest and Financial Mathematics

Simple interest is calculated on the original amount only. It's used in basic loans and savings calculations.

🎯 What You'll Learn

  • Calculate simple interest using the formula
  • Understand the difference between simple and compound interest
  • Work with principal, rate, and time
  • Solve real-world financial problems

✏️ Explanation

Simple interest is calculated on the original amount only. It's used in basic loans and savings calculations.

🔍 Why It Matters

Understanding interest helps with financial decisions, savings, and basic economics. Essential for understanding how money works in the real world.

🧭 Simple Interest Calculator

I = P × R × T
Interest = Principal × Rate × Time
I
Interest
(Amount earned)
P
Principal
(Starting amount)
R
Rate
(% per year as decimal)
T
Time
(Number of years)

✏️ Worked Example: £500 at 4% for 3 years

Given: Calculate simple interest: £500 at 4% per year for 3 years.
Step 1: Identify the values
P = £500, R = 4% = 0.04, T = 3 years
Step 2: Apply the formula I = P × R × T
Interest = £500 × 0.04 × 3 = £60
Step 3: Calculate total amount
Total = £500 + £60 = £560
Answer: Interest = £60, Total = £560

🧮 Simple Interest Calculator

Interest Earned: £150.00
Total Amount: £1,150.00
Step 1: Convert rate to decimal
5% ÷ 100 = 0.05
Step 2: Apply the formula I = PRT
I = £1000 × 0.05 × 3 = £150
Step 3: Calculate total amount
Total = Principal + Interest = £1000 + £150 = £1150

🔢 Practice Exercises

1. Find simple interest: £200 at 5% for 2 years
£
2. Calculate total amount: £800 at 3% for 4 years
£
3. How much interest on £1000 at 2.5% for 5 years?
£
4. What's the total after 3 years: £600 at 6% simple interest?
£
5. Find the interest rate if £400 earns £48 in 2 years
%

⚠️ Common Mistakes

  • Confusing simple with compound interest
  • Forgetting to convert percentage to decimal
  • Not adding interest to principal for total

✨ Quick Summary

Simple Interest = Principal × Rate × Time. Always add to principal for total.