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 mixtu - Quantitative Aptitude MCQ Competitive Exams 2026 | ExamTest.live

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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?

Solution & Step-by-step Explanation

Let the weights of the three varieties mixed be 2 k kg, 4 k kg, and 3 k kg respectively. Total weight of the mixture = 2 k + 4 k + 3 k = 9 k kg . Total Cost Price (CP) of the mixture: CP = (50 \times 2 k) + (20 \times 4 k) + (30 \times 3 k) CP = 100 k + 80 k + 90 k = 270 k Cost Price per kg: CP per kg = \frac{270 k}{9 k} = Rs. 30 Selling Price (SP) per kg = Rs. 33 . Profit Percentage: Profit % = \frac{SP - CP}{CP} \times 100 = \frac{33 - 30}{30} \times 100 = \frac{3}{30} \times 100 = 10%

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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?

8%

9%

10%

None of the above

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