Profit and Loss — Apples bought at 5 for ₹ 10 (CP = ₹ 2 each) and sold at 6 for ₹ 15 (SP = ₹ 2.50 each). Compute the gain percentage.

Difficulty: Easy

Correct Answer: 25%

Explanation:

Introduction / Context: Converting bundle prices to per-unit CP and SP makes comparison straightforward. Profit% is always relative to CP.

Given Data / Assumptions:

  • Buy: 5 for ₹ 10 ⇒ CP = ₹ 2 each
  • Sell: 6 for ₹ 15 ⇒ SP = ₹ 2.50 each

Concept / Approach: Profit per unit = SP − CP. Then profit% = (Profit/CP) * 100.

Step-by-Step Solution:

CP = 10/5 = ₹ 2SP = 15/6 = ₹ 2.50Profit = 2.50 − 2.00 = ₹ 0.50Profit% = 0.50/2.00 * 100 = 25%

Verification / Alternative check: On a batch of 30 apples: cost = 30 * 2 = ₹ 60; revenue = 30 * 2.50 = ₹ 75; gain = ₹ 15 ⇒ 15/60 * 100 = 25%.

Why Other Options Are Wrong: 20% and 30% are close but incorrect; 35% and 45% are far off. Exact computation gives 25%.

Common Pitfalls: Comparing bundles (5 for 10 vs 6 for 15) directly without normalizing per unit.

Final Answer: 25%

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