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?

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