Multiple choice

In what ratio must two kinds of sugar at Rs 1.15 per kg and Rs 1.24 per kg be mixed so that by selling at Rs 1.50 per kg, 25% may be gained?

  1. 4: 5

  2. 5: 4

  3. 1: 1

  4. 2: 3
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A Correct answer
Explanation

Selling price = Rs. 1.50/kg with 25% profit means cost price = 1.50/1.25 = Rs. 1.20/kg. Using allegation method: cheaper sugar (1.15) and dearer sugar (1.24) must mix to give CP (1.20). Difference from mean: 1.24 - 1.20 = 0.04 and 1.20 - 1.15 = 0.05. Ratio = 0.04:0.05 = 4:5. Mix 4 parts of Rs. 1.24 sugar with 5 parts of Rs. 1.15 sugar.

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