A bill of Rs. 7000 is due in 1 year. If the Banker's Discount is Rs. 700, what i

Practice Questions

Q1
A bill of Rs. 7000 is due in 1 year. If the Banker's Discount is Rs. 700, what is the rate of interest?
  1. 10%
  2. 12%
  3. 14%
  4. 16%

Questions & Step-by-Step Solutions

A bill of Rs. 7000 is due in 1 year. If the Banker's Discount is Rs. 700, what is the rate of interest?
Correct Answer: 10%
  • Step 1: Understand that the total bill amount is Rs. 7000 and it is due in 1 year.
  • Step 2: Know that the Banker's Discount is Rs. 700.
  • Step 3: Use the formula for Banker's Discount: Banker's Discount = (Total Amount * Rate * Time) / 100.
  • Step 4: Substitute the known values into the formula: 700 = (7000 * Rate * 1) / 100.
  • Step 5: Simplify the equation: 700 = (7000 * Rate) / 100.
  • Step 6: Multiply both sides by 100 to eliminate the fraction: 70000 = 7000 * Rate.
  • Step 7: Divide both sides by 7000 to solve for Rate: Rate = 70000 / 7000.
  • Step 8: Calculate the Rate: Rate = 10%.
  • Banker's Discount – The Banker's Discount is the difference between the face value of a bill and its present value, calculated using the rate of interest.
  • Rate of Interest Calculation – The rate of interest can be derived from the formula relating Banker's Discount, face value, and time.
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