Profit and Loss — A fruit-seller buys lemons at 2 for ₹ 1 (CP per lemon = ₹ 0.50) and sells them at 5 for ₹ 3 (SP per lemon = ₹ 0.60). Compute the gain percentage.

Difficulty: Easy

Correct Answer: 20%

Explanation:


Introduction / Context:
Unitary-method profit questions compare cost per unit with selling price per unit. Once per-unit values are known, profit% = (SP − CP)/CP * 100.


Given Data / Assumptions:

  • Buying rate: 2 lemons for ₹ 1 ⇒ CP per lemon = ₹ 0.50
  • Selling rate: 5 lemons for ₹ 3 ⇒ SP per lemon = ₹ 0.60


Concept / Approach:
Compute the per-unit profit and express it as a percentage of the CP. This avoids fractions across different bundle sizes.


Step-by-Step Solution:

CP per lemon = 1/2 = ₹ 0.50SP per lemon = 3/5 = ₹ 0.60Profit per lemon = 0.60 − 0.50 = ₹ 0.10Profit% = (0.10 / 0.50) * 100 = 20%


Verification / Alternative check:
On any multiple of lemons, the ratio SP/CP per unit remains the same, so the calculated percentage holds for the full lot as well.


Why Other Options Are Wrong:
10% and 15% undervalue the profit; 25% overstates it. Only 20% matches the computed (SP − CP)/CP * 100.


Common Pitfalls:
Mixing the bundle sizes without first converting to per-unit prices often leads to wrong ratios.


Final Answer:
20%

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