What is the true discount on a bill of Rs. 30000 due in 2 years if the Banker's

Practice Questions

Q1
What is the true discount on a bill of Rs. 30000 due in 2 years if the Banker's Discount is Rs. 3000?
  1. Rs. 2500
  2. Rs. 3000
  3. Rs. 3500
  4. Rs. 2000

Questions & Step-by-Step Solutions

What is the true discount on a bill of Rs. 30000 due in 2 years if the Banker's Discount is Rs. 3000?
Correct Answer: Rs. 2000
  • Step 1: Identify the Banker's Discount, which is given as Rs. 3000.
  • Step 2: Identify the time period until the bill is due, which is 2 years.
  • Step 3: Use the formula for True Discount: True Discount = Banker's Discount × (Time / (Time + 1)).
  • Step 4: Substitute the values into the formula: True Discount = 3000 × (2 / (2 + 1)).
  • Step 5: Calculate the denominator: (2 + 1) = 3.
  • Step 6: Calculate the fraction: 2 / 3.
  • Step 7: Multiply the Banker's Discount by the fraction: 3000 × (2 / 3) = 3000 × 0.6667.
  • Step 8: Calculate the final result: True Discount = Rs. 2000.
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