A loan of $6000 is taken for 3 years at a bankers discount of 15%. What is the t

Practice Questions

Q1
A loan of $6000 is taken for 3 years at a bankers discount of 15%. What is the total discount?
  1. $2700
  2. $270
  3. $600
  4. $900

Questions & Step-by-Step Solutions

A loan of $6000 is taken for 3 years at a bankers discount of 15%. What is the total discount?
Correct Answer: $2700
  • Step 1: Identify the loan amount, which is $6000.
  • Step 2: Identify the bankers discount rate, which is 15%.
  • Step 3: Identify the time period of the loan, which is 3 years.
  • Step 4: Use the formula for total discount: Total Discount = (Loan Amount × Discount Rate × Time) / 100.
  • Step 5: Plug in the values: Total Discount = (6000 × 15 × 3) / 100.
  • Step 6: Calculate the multiplication: 6000 × 15 = 90000.
  • Step 7: Multiply the result by the time: 90000 × 3 = 270000.
  • Step 8: Divide by 100 to find the total discount: 270000 / 100 = 2700.
  • Step 9: The total discount is $2700.
  • Bankers Discount – A method of calculating interest where the discount is taken on the principal amount for the entire loan period, rather than on the remaining balance.
  • Simple Interest Calculation – Understanding how to calculate interest or discount using the formula: Principal × Rate × Time.
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