Reverse percent — recover cost price from selling price By selling an article for Rs 247.50, the profit is 12 1/2%. What is the cost price?

Introduction / Context:
When the selling price and profit percent are known, cost price is obtained by dividing SP by (1 + profit%). Here, 12 1/2% = 1/8 = 0.125.

Given Data / Assumptions:

• SP = Rs 247.50.
• Profit % = 12 1/2% = 0.125.

Concept / Approach:
SP = CP × (1 + profit%). Therefore, CP = SP / (1 + profit%).

Step-by-Step Solution:
1 + profit% = 1 + 0.125 = 1.125.CP = 247.50 / 1.125 = 220.

Verification / Alternative check:
Check forward: CP = 220; profit = 12.5% of 220 = 27.5; SP = 220 + 27.5 = 247.5 (matches).

Why Other Options Are Wrong:
210, 224, 225, 230 do not satisfy SP = CP × 1.125 exactly.

Common Pitfalls:
Using 12.5% as 0.12 or rounding 1.125, which leads to small errors.

Final Answer:
Rs 220