Compute Banker’s Discount directly: Find the banker's discount on a bill of ₹ 12,750 due four months hence when the rate is 6% per annum.

Difficulty: Easy

Correct Answer: ₹ 255

Explanation:


Introduction / Context:
Banker's Discount is the simple-interest charge on the face value for the time remaining: BD = F * r * t, where t is in years and r is per annum.



Given Data / Assumptions:

  • F = ₹ 12,750.
  • r = 6% per annum.
  • t = 4 months = 4/12 year = 1/3 year.


Concept / Approach:
Apply BD = F * r * t directly.



Step-by-Step Solution:
BD = 12,750 * 0.06 * (1/3) = 12,750 * 0.02 = ₹ 255.



Verification / Alternative check:
Monthly interest at 6% p.a. is 0.5% per month; for 4 months ≈ 2% ⇒ 2% of 12,750 is 255, same result.



Why Other Options Are Wrong:
250 and 240 assume approximate rates; 120 and 300 correspond to different times/rates.



Common Pitfalls:
Using true discount formula instead of BD; mis-converting months to years.



Final Answer:
₹ 255

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