Find BD when TD on a Rs 540 bill is Rs 90: On a bill of Rs 540, the true discount is Rs 90. What is the banker’s discount (for the same term and rate)?
Aptitude
Banker's Discount
Difficulty: Easy
Choose an option
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ARs. 108
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BRs. 120
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CRs. 102
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DRs. 106
Answer
Correct Answer: Rs. 108
Explanation
Introduction / Context:Given TD and face value S, we can infer x = r * t using PW or directly via TD = PW * x and PW = S − TD.
Given Data / Assumptions:S = 540; TD = 90.
Concept / Approach:PW = S − TD = 540 − 90 = 450. Then x = TD / PW = 90 / 450 = 0.2. BD = S * x.
Step-by-Step Solution:
BD = 540 * 0.2 = Rs 108.Verification / Alternative check:TD = BD / (1 + x) = 108 / 1.2 = 90 ✔️.
Why Other Options Are Wrong:120, 102, 106 do not satisfy the needed ratio with TD = 90.
Common Pitfalls:Taking BD = TD; forgetting to compute PW first.
Final Answer:Rs 108