Multiple choice

A' bought 20 kg of sugar at the rate of Rs. 8.50 per kg and 30 kg of sugar at the rate of Rs. 9.75 per kg. He mixed the two. At what price per kg should he sell the mixture to get 25% profit on the cost price?

  1. Rs. 11.56

  2. Rs. 12.50

  3. Rs. 10.50

  4. Rs. 10.00
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A Correct answer
Explanation

Total cost = (20 * 8.50) + (30 * 9.75) = 170 + 292.5 = 462.5. Total weight = 50 kg. Cost per kg = 462.5 / 50 = 9.25. To get 25% profit, selling price = 9.25 * 1.25 = 11.5625.

AI explanation

The total cost of the 50 kg mixture is (20 times 8.50) plus (30 times 9.75), which equals 170 plus 292.50, or 462.50 rupees. The cost price per kg is 462.50 divided by 50, which is 9.25 rupees. To achieve a 25 percent profit, the selling price must be 1.25 times 9.25, which equals 11.5625 rupees per kg.

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