A man buys spirit at rs 60 per litre, adds water to it and then sells at rs 75…

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A man buys spirit at rs 60 per litre, adds water to it and then sells at rs 75 per litre. What is the ratio of spirit to water if his profit in the deal is 37.5%?

  1. A.

    7:2

  2. B.

    10 : 1

  3. C.

    33:5

  4. D.

    9:7

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Correct answer: B

Improved solution: clear, exact steps to find the ratio.

  1. Find the cost price per litre of the mixture (C).

    Profit = 37.5% = 3/8, so (1 + 3/8) × C = 75 ⇒ (11/8)C = 75 ⇒ C = 75 × 8/11 = 600/11 ≈ 54.545.

  2. Relate C to the ratio of spirit and water.

    Spirit costs 60 per litre and water is free. If spirit:water = x:y, then cost per litre C = 60 × x/(x+y).

    So x/(x+y) = C/60 = (600/11)/60 = 10/11, which gives x:y = 10:1.

Answer: spirit to water = 10:1

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