A fruit seller buys lemons at 2 for Re 1 (cost per lemon = Rs 0.50) and sells them at five for Rs 3 (selling price per lemon = Rs 0.60). Compute the gain percentage.
Aptitude
Profit and Loss
Difficulty: Easy
Choose an option
-
A10%
-
B15%
-
C20%
-
DNone of these
Answer
Correct Answer: 20%
Explanation
Introduction:When buying and selling are quoted as pack deals (so many items for a figure), convert to per-unit prices to compare cost and selling price directly. The gain or loss percentage then follows immediately.
Given Data / Assumptions:
- Buy price: 2 for Re 1 ⇒ CP per lemon = Rs 0.50.
- Sell price: 5 for Rs 3 ⇒ SP per lemon = Rs 0.60.
Concept / Approach:Gain per unit = SP - CP. Gain percentage is gain divided by CP times 100.
Step-by-Step Solution:CP per lemon = 1 / 2 = Rs 0.50SP per lemon = 3 / 5 = Rs 0.60Gain per lemon = 0.60 - 0.50 = Rs 0.10Gain% = 0.10 / 0.50 * 100 = 20%
Verification / Alternative check:For 10 lemons: CP = Rs 5, SP = Rs 6, gain = Rs 1, giving 20% on cost. Scaling does not affect the percentage.
Why Other Options Are Wrong:
- 10% and 15%: underestimate from using SP as the base.
- None of these: incorrect because 20% is correct.
Common Pitfalls:
- Confusing per-unit rates when converting from pack prices.
Final Answer:20%