Alcohol Solution Replacement

XAT 2012 · Quantitative Ability & Data Interpretation · Easy · Mixtures and Alligations

Ram prepares solutions of alcohol in water according to customers' needs. This morning Ram has prepared 27 litres of a 12% alcohol solution and kept it ready in a 27 litre delivery container to be shipped to the customer. Just before delivery, he finds out that the customer had asked for 27 litres of 21% alcohol solution. To prepare what the customer wants, Ram replaces a portion of 12% solution by 39% solution. How many litres of 12% solution are replaced?

  1. A.

    5

  2. B.

    9

  3. C.

    10

  4. D.

    12

  5. E.

    15

Answer

B

Explanation

Using alligation ratio of 12% solution and 39% solution to get 21% solution: (39−21):(21−12)=18:9=2:1(39 - 21) : (21 - 12) = 18 : 9 = 2 : 1. So 39% solution needed = 12+1×27=9\frac{1}{2+1} \times 27 = 9 litres.

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