Switch from 6% loss to 6% gain changes SP by ₹6 — find CP If an article, when sold at a 6% loss, instead were sold at a 6% gain, the seller would get ₹6 more. What is the cost price?
Aptitude
Profit and Loss
Difficulty: Easy
Choose an option
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A₹ 106
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B₹ 50
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C₹ 94
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D₹ 100
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E₹ 60
Answer
Correct Answer: ₹ 50
Explanation
Introduction / Context:A symmetric switch from −6% to +6% around cost implies a total swing of 12% of the cost price in the selling price. The given rupee change immediately reveals the cost when divided by 0.12.
Given Data / Assumptions:
- Difference between SPs at −6% and +6% = ₹6.
- Both percentages are on the same CP base.
Concept / Approach:Change = (6% + 6%) of CP = 12% of CP. So CP = Change / 0.12.
Step-by-Step Solution:0.12 * CP = 6 ⇒ CP = 6 / 0.12 = ₹50.
Verification / Alternative check:At CP = ₹50: SP at −6% = 47; SP at +6% = 53; difference = ₹6, matching the condition.
Why Other Options Are Wrong:₹94, ₹100, ₹106, and ₹60 do not satisfy 12% of CP = 6.
Common Pitfalls:Applying 12% to SP instead of CP, or halving the difference by mistake.
Final Answer:₹ 50