If a sum of money doubles itself in 5 years at simple interest, what will be the

If a sum of money doubles itself in 5 years at simple interest, what will be the rate of interest?

If a sum of money doubles itself in 5 years at simple interest, what will be the rate of interest?

Step 1: Understand that simple interest means the interest earned is calculated on the original amount (principal).
Step 2: If the sum of money doubles, it means the total amount after 5 years is twice the principal.
Step 3: Let the principal amount be P. After 5 years, the total amount will be 2P.
Step 4: The interest earned in 5 years is the total amount minus the principal, which is 2P - P = P.
Step 5: Use the formula for simple interest: Interest = Principal × Rate × Time.
Step 6: Substitute the values into the formula: P = P × Rate × 5.
Step 7: Simplify the equation: 1 = Rate × 5.
Step 8: Solve for Rate: Rate = 1 / 5.
Step 9: Convert the rate into a percentage: Rate = (1 / 5) × 100 = 20%.
Step 10: Conclude that the rate of interest is 20%.

Simple Interest – Understanding how simple interest is calculated and how it relates to the principal amount over time.
Doubling Principle – Recognizing that if a sum doubles, the interest earned equals the principal.
Interest Rate Calculation – Applying the formula for calculating the rate of interest based on the relationship between principal, interest, and time.