Multiple choice

A person purchases two varieties of wheat – one costing Rs. 11.50 per kg and the other costing Rs. 14.25 per kg, in the ratio 1: 2. He sells the mixed variety at Rs. 18 per kg. What is his profit percentage?

  1. 35

  2. 40

  3. 30

  4. 45

  5. None of these
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A Correct answer
Explanation

Wheat mixed in ratio 1:2 means for every 3 kg, 1 kg costs Rs. 11.50 and 2 kg cost Rs. 14.25 each. CP of 3 kg = 11.50 + 2(14.25) = 11.50 + 28.50 = Rs. 40. SP of 3 kg = 3 × 18 = Rs. 54. Profit = 54 - 40 = Rs. 14. Profit % = 14/40 × 100 = 35%. This is a standard mixture and alligation problem.

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