Scaling profit target on the same cost: Neeta sells an article for ₹ 220 and earns a profit of 10%. For a profit of 30% on the same article, at what price should she sell it?

Introduction / Context:When you know one selling price and the associated profit%, you can recover cost. Then adjust to a different profit target using the same cost base to get the new selling price.

Given Data / Assumptions:

• SP1 = ₹ 220 at 10% profit.
• Target profit = 30%.

Concept / Approach:CP = SP1 / 1.10. Then SP_target = 1.30 * CP.

Step-by-Step Solution:CP = 220 / 1.10 = ₹ 200SP_target = 1.30 * 200 = ₹ 260

Verification / Alternative check:30% of 200 is 60; adding to CP gives 260, confirming the target price.

Why Other Options Are Wrong:

• ₹ 220 / ₹ 230 / ₹ 280: do not correspond to a 30% margin on ₹ 200.

Common Pitfalls:

• Mistaking the base as the earlier SP instead of CP when scaling the profit%.

Final Answer:₹ 260