If the simple interest on a sum of money is $240 after 4 years at a rate of 6% p

Practice Questions

Q1
If the simple interest on a sum of money is $240 after 4 years at a rate of 6% per annum, what is the principal?
  1. $1000
  2. $1200
  3. $1500
  4. $1600

Questions & Step-by-Step Solutions

If the simple interest on a sum of money is $240 after 4 years at a rate of 6% per annum, what is the principal?
  • Step 1: Understand the formula for simple interest, which is: Interest = (Principal * Rate * Time) / 100.
  • Step 2: Rearrange the formula to find the Principal: Principal = (Interest * 100) / (Rate * Time).
  • Step 3: Identify the values given in the question: Interest = $240, Rate = 6%, Time = 4 years.
  • Step 4: Substitute the values into the rearranged formula: Principal = (240 * 100) / (6 * 4).
  • Step 5: Calculate the denominator: 6 * 4 = 24.
  • Step 6: Calculate the numerator: 240 * 100 = 24000.
  • Step 7: Divide the numerator by the denominator: 24000 / 24 = 1000.
  • Step 8: Conclude that the Principal amount is $1000.
  • Simple Interest – Simple interest is calculated using the formula I = PRT, where I is the interest, P is the principal, R is the rate of interest per annum, and T is the time in years.
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