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# A merchant discounted the sale price of a coat and the sale

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VP
Joined: 03 Apr 2007
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A merchant discounted the sale price of a coat and the sale [#permalink]  10 Jun 2008, 18:38
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A merchant discounted the sale price of a coat and the sale price of a sweater. Which of the two articles of clothing was discounted by the greater dollar amount?
(1) The percent discount on the coat was 2 percentage points greater than the
percent discount on the sweater.
(2) Before the discounts, the sale price of the coat was \$10 less than the sale price of
the sweater.
Director
Joined: 27 May 2008
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Re: DS-sale price of a coat and the sale price of a sweater [#permalink]  10 Jun 2008, 21:57
A, B and D are out.

between C and E, I did some algebra,

The sale price before discount is C and S and % discounts are x and y for Coat and Sweater.

from statement 1, x-y = 2
from statement 2 C+10=S

discount amount on coat = Cx/100
discount amount on sweater = Sy/100 = (C+10)y/100

We have to find out whether difference in these two amounts in -ve or +ve.

Difference = Cx/100 - (C+10)y/100
= (C(x-y) - 10y)/100
= (2C - 10y)/100 ---------------- x-y = 2

So it depends on numeric values of C and y, Not given. Both statements are insuff. Option E.
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Re: DS-sale price of a coat and the sale price of a sweater [#permalink]  11 Jun 2008, 06:29
Me too with E

S: X X+10
D%: P+2 P
D: (P+2)X/100 P(X+10)/100

---> depends on which one is greater X or 5P

thus insuffi
Re: DS-sale price of a coat and the sale price of a sweater   [#permalink] 11 Jun 2008, 06:29
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