Multiple choice

A man purchased 20 dozens of pencils at the rate of Rs. 240 per dozen. Two-thirds of the pencils were sold at the rate of Rs. 25 each, and the rest of the pencils sold at Rs. 22 each. What is the average percentage of profit?

  1. 20%

  2. 10%

  3. 15%

  4. 55%
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A Correct answer
Explanation

Total pencils = 20 * 12 = 240. Cost = 240 * 240 = 57600. Two-thirds (160) sold at 25 = 4000. Remaining (80) sold at 22 = 1760. Total revenue = 5760. This question has a unit mismatch (Rs 240 per dozen vs Rs 25/22 per piece). Assuming the cost is 240 per dozen (20 per piece), cost = 4800, revenue = 5760. Profit = 960. Profit % = 960/4800 = 20%.

AI explanation

The total cost price for 20 dozen pencils is 20 times 240, which equals Rs. 4,800. He sells two-thirds of the 240 pencils, which is 160 pencils at Rs. 25 each, earning Rs. 4,000, and the remaining 80 pencils at Rs. 22 each, earning Rs. 1,760; the total selling price is Rs. 5,760. The profit is 5760 minus 4800, which is Rs. 960, and the profit percentage is 960 divided by 4800 multiplied by 100, resulting in 20%.

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