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

Author Message
Manager
Joined: 14 Dec 2004
Posts: 106
A merchant marks his goods up in such a way that the profit  [#permalink]

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05 Mar 2005, 21:09
1
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%

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Manager
Joined: 28 Sep 2004
Posts: 79
Location: New York City

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05 Mar 2005, 21:22
A ) 66.67%

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

y = 20x/30

y = 0.6667
Director
Joined: 18 Feb 2005
Posts: 621

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05 Mar 2005, 21:38
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
Joined: 25 Nov 2004
Posts: 1387

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Updated on: 06 Mar 2005, 17:00
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

Originally posted by MA on 05 Mar 2005, 21:42.
Last edited by MA on 06 Mar 2005, 17:00, edited 2 times in total.
Non-Human User
Joined: 09 Sep 2013
Posts: 10949
Re: A merchant marks his goods up in such a way that the profit  [#permalink]

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21 Aug 2017, 12:30
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Re: A merchant marks his goods up in such a way that the profit   [#permalink] 21 Aug 2017, 12:30
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