A woman bought eggs at ₹30 per dozen. What should be the selling price per 100 eggs to gain 12%?

Difficulty: Easy

Correct Answer: 280

Explanation:


Introduction / Context:
Convert the purchase rate per dozen into a cost per egg, scale to 100 eggs, and then apply the desired 12% profit to obtain the required selling price per hundred eggs.


Given Data / Assumptions:

  • Cost per dozen = ₹30 → cost per egg = 30/12 = ₹2.50.
  • We need SP for 100 eggs with 12% profit.


Concept / Approach:
Total cost for 100 eggs = 100 * 2.50. Selling price = cost * 1.12. Simple percentage gain on cost.


Step-by-Step Solution:
Cost for 100 eggs = 100 * 2.50 = ₹250Required SP = 250 * 1.12 = ₹280


Verification / Alternative check:
Profit = 280 − 250 = ₹30 which is 12% of ₹250, confirming correctness.


Why Other Options Are Wrong:
₹250 is cost; ₹300 and ₹360 overshoot the 12% target.


Common Pitfalls:
Forgetting that a dozen is 12; applying 12% to the wrong base.


Final Answer:
280

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