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.
Aptitude
Profit and Loss
Difficulty: Easy
Choose an option
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A35%
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B45%
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C20%
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D25%
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E30%
Answer
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%