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

Rate from BD and TD (repeat form): The banker’s discount on a sum for 1.5 years is ₹60 and the true discount on the same sum for 2 years is ₹75. Find the rate percent.

Difficulty: Medium

5%
6%
62/3%
31/3%
None of these

Correct Answer: 31/3%

Explanation:

Introduction / Context:This is the same structural setup as a prior item and leads to the same rate. We repeat the concise derivation for completeness and clarity.

Given Data / Assumptions:BD(1.5 y) = ₹60, TD(2 y) = ₹75, face value A common, rate r unknown.

Concept / Approach:

BD = A * r * 1.5 ⇒ A r = 40 TD = A * (2r) / (1 + 2r) = 75 ⇒ A(2r) = 80 75 = 80 / (1 + 2r) ⇒ 1 + 2r = 16/15 ⇒ r = 1/30 = 3 1/3 %

Final Answer:31/3%

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