A sum of money doubles itself in 10 years at compound interest. What is the rate

Practice Questions

Q1
A sum of money doubles itself in 10 years at compound interest. What is the rate of interest?
  1. 7.2%
  2. 10%
  3. 5%
  4. 12%

Questions & Step-by-Step Solutions

A sum of money doubles itself in 10 years at compound interest. What is the rate of interest?
Correct Answer: 7.2%
  • Step 1: Understand that the problem is about compound interest, where money grows over time.
  • Step 2: Know that the money doubles in 10 years.
  • Step 3: Use the Rule of 72, which is a quick way to estimate the interest rate needed to double your money.
  • Step 4: The Rule of 72 states that you divide 72 by the number of years it takes to double your money.
  • Step 5: In this case, divide 72 by 10 (the number of years).
  • Step 6: Calculate 72 / 10 = 7.2.
  • Step 7: Conclude that the rate of interest is approximately 7.2%.
  • Compound Interest – Understanding how compound interest works and how it affects the growth of an investment over time.
  • 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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