Multiple choice

Barack mixes three varieties of rice, costing Rs. 60, Rs. 10 and Rs. 30 per kg in the ratio 2 : 3 : 5 respectively, in terms of weight, and sells the mixture at Rs. 27 per kg. What % of loss does he suffer?

  1. 10

  2. 11.11

  3. 31.35

  4. 45.67
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A Correct answer
Explanation

Total weight = 2+3+5 = 10kg. Total cost = (2*60) + (3*10) + (5*30) = 120 + 30 + 150 = 300. Cost per kg = 300/10 = 30. Selling price = 27. Loss = 30 - 27 = 3. Loss % = (3/30) * 100 = 10%.

AI explanation

Using the weighted average method, the cost price per kg of the mixture is 2 times 60 plus 3 times 10 plus 5 times 30, all divided by 10, which equals 300 divided by 10 or Rs. 30 per kg. Barack sells this mixture at Rs. 27 per kg, resulting in a loss of Rs. 3 per kg. The loss percentage is 3 divided by 30 multiplied by 100, which equals 10 percent.

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