Scooter pricing comparison: list price Rs 28,000. Dealer A offers a flat 10% discount; Dealer B offers 12% on the first Rs 20,000 and 8% on the remaining Rs 8,000. Find the difference between their selling prices.
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ARs.240
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BRs.420
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CRs.640
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Dnone of these
Answer
Correct Answer: Rs.240
Explanation
Introduction:This question compares a single flat discount with tiered discounts. Compute each net discount in rupees, then subtract the resulting selling prices.
Given Data / Assumptions:
- List price (LP) = Rs 28,000.
- Dealer A: 10% on whole LP.
- Dealer B: 12% on Rs 20,000 and 8% on Rs 8,000.
Concept / Approach:SP = LP − (discount in rupees). Tiered discounts add linearly across their slabs.
Step-by-Step Solution:Dealer A: discount = 10% of 28,000 = 2,800 ⇒ SP_A = 28,000 − 2,800 = 25,200Dealer B: discount = 12% of 20,000 (2,400) + 8% of 8,000 (640) = 3,040 ⇒ SP_B = 28,000 − 3,040 = 24,960Difference = 25,200 − 24,960 = Rs 240
Verification / Alternative check:The bigger discount is B’s by Rs 240, so his SP is lower by Rs 240, consistent with the arithmetic.
Why Other Options Are Wrong:
- Rs 420 / Rs 640: do not match the computed slab differences.
- None of these: incorrect since Rs 240 is attainable.
Common Pitfalls:
- Treating tiered percentages as a single average without computing slab-wise.
Final Answer:Rs.240