Tricky Alligations and Mixtures sum

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[email protected]: Legendary Member; Posts: 934; Joined: Tue Nov 09, 2010 5:16 amFollowed by: 14 members; Location: AAMCHI MUMBAI LOCAL; Thanked: 63 times

by [email protected] » Wed Jun 08, 2011 1:29 am

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?

A] 1:2
B] 1:3
C] 1:4
D] 2:3
E] 3:4

OA later... quite tricky guyzzz.... plzzz explain

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cans: Legendary Member; Posts: 1309; Joined: Mon Apr 04, 2011 5:34 amFollowed by: 123 members; Location: India; Thanked: 310 times; GMAT Score:750

by cans » Wed Jun 08, 2011 1:42 am

let he took x ration butter.
thus remaining =1-x with 40% spirit = .4(1-x) spirit
also he added 16% spirit ie .16x
total = .16x + .4 (1-x) = .24
2x + 5(1-x) = 3 ->x=2/3
IMO D

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Frankenstein: Legendary Member; Posts: 1448; Joined: Tue May 17, 2011 9:55 amFollowed by: 53 members; Location: India; Thanked: 375 times

by Frankenstein » Wed Jun 08, 2011 1:45 am

Hi,
Concentration of spirit initially = 40%
Concentration of spirit added = 16%
Concentration of spirit in mixture = 24%
So, Volume of wine1/volume of wine2 = (24-16)/(40-24) = 1/2
So, fraction of butt stolen = 2/(2+1) = 2/3

Hence, D

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[email protected]: Legendary Member; Posts: 934; Joined: Tue Nov 09, 2010 5:16 amFollowed by: 14 members; Location: AAMCHI MUMBAI LOCAL; Thanked: 63 times

by [email protected] » Wed Jun 08, 2011 6:02 am

Thanks Cans!! for a wonderful explanation....

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