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# A merchant offers a discount of 30% on her list price and

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Joined: 21 Sep 2003
Posts: 1066
Location: USA
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A merchant offers a discount of 30% on her list price and [#permalink]  03 Jan 2006, 18:49
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A merchant offers a discount of 30% on her list price and ends up making a profit of 19% on her cost price. By what percentage was her list price more than the cost price?
A) 70%
B) 49%
C) 54.7%
D) 57%
E) 76%
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Intern
Joined: 31 Dec 2005
Posts: 18
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Kudos [?]: 1 [0], given: 0

Assume CP = 100 Then SP = 119 which is 70% of List price
therfore LP = 170

Therefore LP is 70% more than CP which is A
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Tony Chandra

Director
Joined: 04 Oct 2005
Posts: 587
Location: Chicago
Followers: 1

Kudos [?]: 5 [0], given: 0

Let List Price=x and Cost Price=y
As per the data

0.7x-y=0.19y =>x/y=1.19/0.7
By what percertange is x greater than y means (x-y)/y=(1.19-0.7)/0.7
=>0.7*100=70%
Manager
Joined: 13 Dec 2005
Posts: 224
Location: Milwaukee,WI
Followers: 1

Kudos [?]: 7 [0], given: 0

say cost price x list price 100 then selling price = 70

and selling price = x + .19x i.e 70 = x +.19x i.e x = 58.8

list price above cost price is 100-58.8 = 41.2

therfore % list price above cost price is

(41.2/58.8) * 100 = 70%
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