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A sum of money is invested at a certain rate of simple interest. If the interest

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Question: A sum of money is invested at a certain rate of simple interest. If the interest earned in 4 years is $200, what will be the interest earned in 10 years at the same rate?

Options:

  1. $400
  2. $500
  3. $600
  4. $800

Correct Answer: $400

Solution:

If $200 is earned in 4 years, then in 1 year, it earns $50. Therefore, in 10 years, it will earn $500.

A sum of money is invested at a certain rate of simple interest. If the interest

Practice Questions

Q1
A sum of money is invested at a certain rate of simple interest. If the interest earned in 4 years is $200, what will be the interest earned in 10 years at the same rate?
  1. $400
  2. $500
  3. $600
  4. $800

Questions & Step-by-Step Solutions

A sum of money is invested at a certain rate of simple interest. If the interest earned in 4 years is $200, what will be the interest earned in 10 years at the same rate?
  • Step 1: Understand that simple interest is earned at a constant rate over time.
  • Step 2: Note that the interest earned in 4 years is $200.
  • Step 3: To find the interest earned in 1 year, divide the total interest by the number of years: $200 ÷ 4 years = $50 per year.
  • Step 4: Now, to find the interest earned in 10 years, multiply the annual interest by 10: $50 per year × 10 years = $500.
  • Step 5: Conclude that the interest earned in 10 years at the same rate is $500.
  • Simple Interest – Understanding how simple interest is calculated using the formula I = P * r * t, where I is interest, P is principal, r is rate, and t is time.
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