Question: If a sum of money doubles in 10 years at compound interest, what is the rate of interest?
Options:
7.2%
10%
5%
8%
Correct Answer: 7.2%
Solution:
Using the rule of 72, Rate = 72/10 = 7.2%
If a sum of money doubles in 10 years at compound interest, what is the rate of
Practice Questions
Q1
If a sum of money doubles in 10 years at compound interest, what is the rate of interest?
7.2%
10%
5%
8%
Questions & Step-by-Step Solutions
If a sum of money doubles in 10 years at compound interest, what is the rate of interest?
Step 1: Understand that compound interest means the money grows on itself over time.
Step 2: Know that if a sum of money doubles, it means you have twice the amount you started with after a certain period.
Step 3: Recognize that the question states this doubling happens in 10 years.
Step 4: Use the Rule of 72, which is a simple way to estimate the interest rate needed to double your money.
Step 5: The Rule of 72 formula is: Rate = 72 / Number of years to double.
Step 6: Plug in the numbers: Rate = 72 / 10.
Step 7: Calculate the result: Rate = 7.2%.
Step 8: Conclude that the rate of interest is approximately 7.2%.
Compound Interest – Understanding how money grows over time with compound interest and the relationship between time, rate, and doubling of investment.
Rule of 72 – A simplified formula to estimate the number of years required to double the investment at a fixed annual rate of return.
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