Question : Two blends of a commodity costing Rs. 35 and Rs. 40 per kg, respectively, are mixed in a ratio of 2 : 3 by weight. If one-fifth of the mixture is sold at Rs. 46 per kg and the remaining at Rs. 55 per kg, the profit percentage is:
Option 1: 50%
Option 2: 30%
Option 3: 40%
Option 4: 20%
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Correct Answer: 40%
Solution :
Given: Two blends of a commodity costing Rs. 35 and Rs. 40 per kg, respectively, are mixed in a ratio of 2 : 3 by weight, and one-fifth of the mixture is sold at Rs. 46 per kg and the remaining at Rs. 55 per kg.
Let the first blend be 2 kg and the second blend be 3 kg.
Total cost price = (35 × 2) + (40 × 3) = 70 + 120 = Rs. 190
Total selling price = (1 × 46) + (4 × 55) = Rs. 266 [$\frac{1}{5}$th of 5 kg = 1kg]
So, the profit percentage = $\frac{\text{Total profit}}{\text{Cost price}}×100$%
= $\frac{(266−190)}{190}×100$%
= $\frac{76}{190}×100$%
= 40%
Hence, the correct answer is 40%.
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