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Find BD from PW = Rs 1296 and TD = Rs 72: The present worth of a certain bill is Rs 1296 and its true discount is Rs 72. What is the banker’s discount?

Difficulty: Easy

Rs. 76
Rs. 72
Rs. 74
Rs. 4

Correct Answer: Rs. 76

Explanation:

Introduction / Context:
Compute x = r * t from PW and TD, then BD = S * x with S = PW + TD.

Given Data / Assumptions:
PW = 1296; TD = 72 → S = 1368.

Concept / Approach:
x = TD / PW = 72 / 1296 = 1/18. Then BD = S * x = 1368 * (1/18).

Step-by-Step Solution:

BD = 1368 / 18 = Rs 76.

Verification / Alternative check:
TD = BD / (1 + x) = 76 / (19/18) = 72 ✔️.

Why Other Options Are Wrong:
72 is the TD (not BD); 74, 4 do not satisfy the identities.

Common Pitfalls:
Confusing BD and TD; forgetting to add PW + TD to get S.

Final Answer:
Rs 76

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