Multiple choice

A person purchased 24 dozen eggs at Rs. 48/dozen. He sold 8 dozens at 10% profit and rest at 20% profit. What will be his overall profit percent?

  1. 16 2/3

  2. 16

  3. 16 1/3

  4. None of these
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A Correct answer
Explanation

Total eggs = 24 dozen. 8 dozen sold at 10% profit, 16 dozen at 20% profit. The overall profit percent is the weighted average of the profit percentages: (8 * 10 + 16 * 20) / 24 = (80 + 320) / 24 = 400 / 24 = 100 / 6 = 16 2/3%.

AI explanation

The total cost price for 24 dozen eggs is 24 times 48, which equals Rs 1152. The first 8 dozens sell for 8 times 1.10 times 48, which is Rs 422.40, and the remaining 16 dozens sell for 16 times 1.20 times 48, which is Rs 921.60. The total selling price is 422.40 plus 921.60, equaling Rs 1344, making the profit 1344 minus 1152, or Rs 192. The overall profit percentage is (192 divided by 1152) times 100, which simplifies to 16 2/3%.

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