Multiple choice

A shopkeeper bought 20 kg of rice at Rs. 55 per kg, 25 kg of rice at Rs. 50 per kg, and 35 kg of rice at Rs. 60 per kg. He spent a sum of Rs. 150 on transportation. He mixed all the three types of rice and sold all the stock at Rs. 62.56 per kg. His profit per cent in the entire transaction is:

  1. 8.8

  2. 12.5

  3. 10.5

  4. 9.2
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A Correct answer
Explanation

Total cost = (20*55) + (25*50) + (35*60) + 150 = 1100 + 1250 + 2100 + 150 = 4600. Total weight = 20 + 25 + 35 = 80 kg. Total revenue = 80 * 62.56 = 5004.8. Profit = 5004.8 - 4600 = 404.8. Profit % = (404.8 / 4600) * 100 = 8.8%.

AI explanation

The total cost price includes the purchase cost and transportation, calculated as (20 kg times Rs. 55) plus (25 kg times Rs. 50) plus (35 kg times Rs. 60) plus Rs. 150, resulting in a total of Rs. 4400. The total selling price for the 80 kg stock is 80 kg multiplied by Rs. 62.56 per kg, which equals Rs. 5004.80. The profit percentage is calculated as ((5004.80 minus 4400) divided by 4400) times 100, resulting in an 8.8 percent profit.

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