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A merchant marks his goods up in such a way that the profit

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Manager
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Joined: 14 Dec 2004
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A merchant marks his goods up in such a way that the profit [#permalink] New post 05 Mar 2005, 20:09
A merchant marks his goods up in such a way that the profit made on selling 30 articles is equal to the cost price of 20 articles. What is the % profit made by the merchant?

66.67%

50%

200%

100%

33.33%
Manager
Manager
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Joined: 28 Sep 2004
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Location: New York City
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Re: profit [#permalink] New post 05 Mar 2005, 20:22
A ) 66.67%

let x by the purchasing price and Y the added value

30(x+y) - 30x = 20x

y = 20x/30

y = 0.6667
Director
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 [#permalink] New post 05 Mar 2005, 20:38
Let x be cost of 20 articles

each would cost x/20

profit % = profit/CP*100

since profit of 30 = CP of 20 = x

30 CP is 30x/20

Numerator = x

Denominator = 30x/20

So profit% = n/d * 100

=2/3*100 = 66.67
VP
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Re: profit [#permalink] New post 05 Mar 2005, 20:42
OA is C ( or B) not A. Can anybody explain?

30(S-C)=20C
S=5C/3,
%profit=S-C=5C/3-C=0.666 C=66.67%C

Last edited by MA on 06 Mar 2005, 16:00, edited 2 times in total.
Re: profit   [#permalink] 05 Mar 2005, 20:42
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A merchant marks his goods up in such a way that the profit

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