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GMAT - Problem Solving (pls help to solve this)

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Joined: 01 Nov 2009
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GMAT - Problem Solving (pls help to solve this) [#permalink]  23 Dec 2009, 05:30
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Q28:
Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for$1.25 each, and the store sold no other newspapers that day. If r percent of the store’s revenues from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of newspaper A, which of the following expresses r in terms of p?
A. 100p / (125 – p)
B. 150p / (250 – p)
C. 300p / (375 – p)
D. 400p / (500 – p)
E. 500p / (625 – p)
Intern
Joined: 13 Dec 2009
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Re: GMAT - Problem Solving (pls help to solve this) [#permalink]  23 Dec 2009, 07:21
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Let the total newspaper sold be 100.

No of Newspaper A sold = p
No of Newspaper B sold = 100-p
Total revenue = p*1+(100-p)*1.25
So revenue from paper A = p*1 = p
Revenue percentage from paper
A = (p/(p+(100-p)*1.25))*100
This is equal to r
thus
(p/(p+(100-p)*1.25))*100 = r

r = 100p/(125-0.25p)

by simplifying

r = 400p/(500-p)

This is hard one!!!!
Re: GMAT - Problem Solving (pls help to solve this)   [#permalink] 23 Dec 2009, 07:21
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