Profit and Loss – Simple gain percent on a small transaction: A person buys a book for ₹ 200 and sells it for ₹ 225. What is the gain percentage?

Difficulty: Easy

Correct Answer: 12.5%

Explanation:

Introduction / Context:Compute a basic profit percentage from given cost and selling prices.

Given Data / Assumptions:

  • CP = ₹ 200
  • SP = ₹ 225

Concept / Approach:Profit% = (SP - CP) / CP * 100.

Step-by-Step Solution:Profit = 225 - 200 = 25Profit% = 25 / 200 * 100 = 12.5%

Verification / Alternative check:12.5% of 200 equals 25, which matches the profit.

Why Other Options Are Wrong:13% and 14% are close but incorrect; 18.4% and 10% are wrong magnitudes.

Common Pitfalls:Dividing by SP instead of CP.

Final Answer:12.5%

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