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?

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