Find banker’s discount from true discount: The true discount on a bill due 24 months hence at 24% per annum is ₹144. What is the banker’s discount for the same bill?

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Solve this multiple-choice question and choose the correct option.

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Introduction / Context:Given TD and the time/rate, we can back out the face value and then compute BD directly. TD is on present worth; BD is on face value for the same time. Given Data / Assumptions: t = 24 months = 2 years r = 24% = 0.24 per annum TD = ₹144 Concept / Approach:Use: TD = A * (r * t) / (1 + r * t) BD = A * r * t Step-by-Step Solution: Let x = r t = 0.24 * 2 = 0.48 TD = A * 0.48 / 1.48 = 144 ⇒ A = 144 * 1.48 / 0.48 = ₹444 BD = A * x = 444 * 0.48 = ₹213.12 Verification / Alternative check:Compute PW = A − TD = 444 − 144 = ₹300. Interest on PW for 2 years at 24% is 300 * 0.24 * 2 = ₹144 (matches TD). Why Other Options Are Wrong:They do not satisfy both TD and BD relations simultaneously with the same A and x = 0.48. Common Pitfalls:Using TD = A * r * t (incorrect), or mixing A with PW during substitutions. Final Answer:₹ 213.12

Find banker’s discount from true discount: The true discount on a bill due 24 months hence at 24% per annum is ₹144. What is the banker’s discount for the same bill?

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