Profit and Loss – Comparing +10% gain vs -10% loss difference: An article yields Rs 6 more when sold at a gain of 10% than when sold at a loss of 10%. What is the cost price of the article?

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Solve this multiple-choice question and choose the correct option.

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Introduction / Context:The two selling prices differ because of equal percentage gain and loss applied to the same cost price. Their difference directly gives a fraction of the CP. Given Data / Assumptions: Gain scenario = +10% Loss scenario = -10% Difference in SPs = Rs 6 Concept / Approach:If CP = x, then SP at gain = 1.10x and SP at loss = 0.90x. Difference = 1.10x - 0.90x = 0.20x. Step-by-Step Solution:0.20x = 6x = 6 / 0.20 = 30 Verification / Alternative check:SP at +10% = 33; SP at -10% = 27; difference = 6, consistent. Why Other Options Are Wrong:20, 24, 25, and 36 do not satisfy 0.20x = 6. Common Pitfalls:Using 10% of 6 or misinterpreting the difference as 20% of SP. Final Answer:Rs 30

Profit and Loss – Comparing +10% gain vs -10% loss difference: An article yields Rs 6 more when sold at a gain of 10% than when sold at a loss of 10%. What is the cost price of the article?

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