Multiple choice

A trader mixes three varieties of groundnuts costing Rs 50, Rs 20 and Rs 30 per kg in the ratio 2 : 4 : 3 in terms of weight and sells the mixture at Rs 33 per kg What percentage of profit does he make?

  1. 8%

  2. 9%

  3. 10%

  4. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Weighted average cost = (50*2 + 20*4 + 30*3) / (2+4+3) = (100 + 80 + 90) / 9 = 270 / 9 = 30 per kg. Selling price = 33 per kg. Profit = 33 - 30 = 3. Profit % = (3/30) * 100 = 10%.

AI explanation

Taking the ratio weights as actual kilograms gives 2 kg of the first variety, 4 kg of the second, and 3 kg of the third. The total cost price for these 9 kg is (2 multiplied by 50) plus (4 multiplied by 20) plus (3 multiplied by 30), resulting in 100 plus 80 plus 90 for a sum of Rs 270. The total selling price for the 9 kg mixture at Rs 33 per kg is 297, making the profit percentage (297 minus 270) divided by 270 and multiplied by 100, which equals 10 percent.

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