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A butler stole wine from a butt of sherry which contained

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Manager
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Joined: 28 Jan 2004
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A butler stole wine from a butt of sherry which contained [#permalink] New post 05 Feb 2004, 03:15
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A butler stole wine from a butt of sherry which contained 30% of spirit and he replaced what he had stolen by wine containing only 12% of apirit. The butt was now only 18% strong. How much of the butt did he stole.

A. 2/3
B. 3/4
C. 1/3
4. 7/11
5. 9/13

Solve it with explanation.
Manager
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 [#permalink] New post 05 Feb 2004, 03:53
A) 2/3 ? back solve ,lucky to hit the first choice.
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 [#permalink] New post 05 Feb 2004, 04:03
rakesh1239 wrote:
A) 2/3 ? back solve ,lucky to hit the first choice.


My advice for this forum is to NEVER backsolve. Learn the proper techniques since you are not under time constraint. Backsolve only when you are pressed for time or have already spent too long on problem.

Backsolving and substitution as primary techniques can be addicting and counterproductive.

:)
_________________

Best,

AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

Manager
Manager
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Joined: 28 Jan 2004
Posts: 203
Location: India
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Kudos [?]: 17 [0], given: 4

 [#permalink] New post 05 Feb 2004, 04:44
Rakesh please show me the way to do that....what if i ask you for the ans. rather then giving the options????
see we should know the correct methods also....agree!!!!!
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 [#permalink] New post 05 Feb 2004, 07:09
Here's how I solved the question...

Original Sherry = 1
% spirit = 30

Stolen Sherry = x
% spirit stolen = 18

Formula: Original - stolen = remaining

.30(1) - .18(x) = .18(1)
.30(1) - .18(1) = .18x
.12=.18x
x = .12/.18 = 2/3
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 [#permalink] New post 05 Feb 2004, 16:42
X is the amount of wine
Y amount was removed
Remaining = (X-Y)
Amount of spirit remaining = 0.3(X-Y)
Now Y is added but it contains only 12% wine
So total spirit left = 0.3(X-Y)+0.12Y = 0.18X
so Y = 0.12X/0.18 = X * 2/3

So 2/3rd wine was stolen.
  [#permalink] 05 Feb 2004, 16:42
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A butler stole wine from a butt of sherry which contained

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