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

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A merchant offers a discount of 30% on her list price and [#permalink] New post 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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 [#permalink] New post 03 Jan 2006, 19:03
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

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 [#permalink] New post 03 Jan 2006, 21:10
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%
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 [#permalink] New post 04 Jan 2006, 11:26
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%
  [#permalink] 04 Jan 2006, 11:26
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A merchant offers a discount of 30% on her list price and

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