ABHYAS PREP: RACES, DISCOUNTS, STOCKS AND HEIGHTS · BANKER’S DISCOUNT

Banker’s discount and banker’s gain

A bank discounting a bill charges simple interest on the face value: BD = A × R × T/100. That is more than the true discount, and the excess (banker’s gain) is the simple interest on the true discount.

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Worked examples

Example 1 · level 1

A textile mill in Indore holds a bill for ₹39,000 due 3 months from now. It gets the bill discounted at a bank at 16% per annum. What is the banker’s discount?

  1. ₹1,500
  2. ₹1,560
  3. ₹18,720
  4. ₹37,440
Show solution
  1. R × T = 16 × 3/12 = 4.
  2. BD = 39,000 × 4/100 = ₹1,560.

Answer: ₹1,560

Example 2 · level 2

A garment unit in Ranchi holds a bill for ₹13,340 due 18 months from now. At 10% per annum, what is the banker’s gain on the bill?

  1. ₹261
  2. ₹300.15
  3. ₹1,740
  4. ₹2,001
Show solution
  1. R × T = 15.
  2. BD = 13,340 × 15/100 = ₹2,001.
  3. TD = 13,340 × 15/115 = ₹1,740.
  4. BG = ₹2,001 − ₹1,740 = ₹261.

Answer: ₹261

Example 3 · level 3

A printing press in Bhopal has a bill due 6 months from now. At 12% per annum, the banker’s gain on it is ₹495. What is the true discount?

  1. ₹29.7
  2. ₹687.5
  3. ₹8,250
  4. ₹8,745
Show solution
  1. R × T = 6.
  2. TD = BG × 100/(RT) = 495 × 100/6 = ₹8,250.

Answer: ₹8,250

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