The true discount (TD) on a bill of ₹1860 due after 8 months is ₹60. Find the banker’s gain (BG).

Introduction / Context:We are given TD and face value F; the time (8 months) is mentioned but rate is not. However, we can find x = r * t directly from TD and F: TD = F * x / (1 + x). Having x, BG = x * TD. No need to split x into r and t separately.

Given Data / Assumptions:

• F = ₹1860.
• TD = ₹60.

Concept / Approach:Solve TD = F * x / (1 + x) for x, then compute BG = x * TD. This is efficient and general.

Step-by-Step Solution:

Verification / Alternative check:BD = (1 + x)*TD = (31/30)*60 = ₹62; BG = BD − TD = 62 − 60 = ₹2, consistent.

Why Other Options Are Wrong:₹1.5, ₹2.5, ₹4 do not equal x * TD with x = 1/30.

Common Pitfalls:Attempting to find r explicitly; not required because BG depends on x only.

Final Answer:Rs. 2