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Question

A butler stole wine from a butt of sherry which contained 30% of spirit and he replaced the exact same amount by a cheap wine which contained only 12% of spirit. The butt was then only 18% strong. How much of the butt did he steal?


  1. 2/3

  2. 1/3

  3. 3/4

  4. 1/4

  5. 1/2


Solution

The correct option is A

2/3


By the alligation rule we find that wine contains 30% of spirit and wine containing 12% of spirit should be mixed in the ratio 1:2 to produce a mixture containing 18% of spirit.

Ratio = 6:12 = 1:2This means that 13of the butt of sherry was left, i.e. to say,the butler drew out 23of the butt.23of the butt was stolen.

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