Multiple choice

A shopkeeper mixed 2 different qualities of wheat,one costing Rs 20/kg and the other costing Rs 32/kg inthe ratio 1:3 and sold it at Rs 40.6/kg. What is hispercentage profit?

  1. 25%

  2. 30%

  3. 35%

  4. 40%

  5. 45%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Cost of mixture = (1*20 + 3*32) / 4 = (20 + 96) / 4 = 116 / 4 = 29/kg. Selling price = 40.6/kg. Profit = 40.6 - 29 = 11.6. Profit % = (11.6 / 29) * 100 = 40%.

AI explanation

Using the ratio 1:3, the weighted average cost of the mixture per kilogram is calculated as (1 multiplied by 20 plus 3 multiplied by 32) divided by 4. This equals (20 plus 96) divided by 4, resulting in a cost price of 116 divided by 4, which is Rs. 29 per kilogram. The shopkeeper sells this wheat at Rs. 40.6 per kilogram, so the profit is 40.6 minus 29, equaling Rs. 11.6. The profit percentage is (11.6 divided by 29) multiplied by 100, which equals 0.4 multiplied by 100 or a 40 percent profit.

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