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# A butler stole wine from a butt of sherry which contained

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Manager
Joined: 28 Jan 2004
Posts: 203
Location: India
Followers: 2

Kudos [?]: 14 [0], given: 4

A butler stole wine from a butt of sherry which contained [#permalink]  05 Feb 2004, 03:15
00:00

Difficulty:

(N/A)

Question Stats:

100% (00:00) correct 0% (00:00) wrong based on 1 sessions
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
Joined: 26 Dec 2003
Posts: 227
Location: India
Followers: 1

Kudos [?]: 2 [0], given: 0

A) 2/3 ? back solve ,lucky to hit the first choice.
GMAT Instructor
Joined: 07 Jul 2003
Posts: 770
Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE
Followers: 13

Kudos [?]: 59 [0], given: 0

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
Joined: 28 Jan 2004
Posts: 203
Location: India
Followers: 2

Kudos [?]: 14 [0], given: 4

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!!!!!
Senior Manager
Joined: 23 Sep 2003
Posts: 294
Location: US
Followers: 1

Kudos [?]: 2 [0], given: 0

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
SVP
Joined: 30 Oct 2003
Posts: 1797
Location: NewJersey USA
Followers: 5

Kudos [?]: 41 [0], given: 0

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.
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