Alligation Q7

7. A butler stole wine from a butt of sherry which contained 40% of spirit and he replaced,what he had stolen by wine

containing only 16% spirit. The butt was then of 24%

strength only. How much of the butt did he steal?

Solution:

Wine containing 40%spirit  Wine containing 16% spirit

              Wine containing 24% spirit

         8                                 16

They must be mixed in the ratio of =1:2.

Thus 1/3 of the butt of sherry was left and hence the

butler drew out 2/3 of the butt.