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# Last Sunday a certain store sold copies of Newspaper A for

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Manager
Joined: 08 Apr 2004
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Last Sunday a certain store sold copies of Newspaper A for [#permalink]

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05 Sep 2004, 02:04
00:00

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0% (00:00) correct 100% (04:36) wrong based on 0 sessions

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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 storeâ€™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 â€“ p)
B. 150p / (250 â€“ p)
C. 300p / (375 â€“ p)
D. 400p / (500 â€“ p)
E. 500p / (625 â€“ p)

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Director
Joined: 20 Jul 2004
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05 Sep 2004, 09:00
Let the total number of copies be 100.
Then no of copies sold of A = P, B = 100-P.
Total Revenue = (P x 1) + (5/4 x (100-P)) = (500-P)/4

Revenue of A is r%, therefore:
(P x 1) = (r/100) (500-P)/4
r = 400P/(500-P)

D.

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Senior Manager
Joined: 19 May 2004
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29 Nov 2004, 11:32
Good question.
Anybody has another way to solve this ?

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Manager
Joined: 31 Aug 2004
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29 Nov 2004, 12:55
hardowrker_indian, can we still use your method if we let
the total number of newspaper sold be other number, say 50?

I try to beat my head to get the answer by other way but
cannot get to the expression in the answer list...

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Director
Joined: 31 Aug 2004
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29 Nov 2004, 14:20
I don't know why but without provided answers, my first choice would have been r+p=1 ...

Looks not good but quicker

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Manager
Joined: 01 Nov 2005
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11 Nov 2005, 00:32
can someone take a look at this one? the explanaton isn't convinving as p should be referred to p percent, not number of copies sold by A as hardworker_indian assumed.

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Intern
Joined: 20 Oct 2005
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11 Nov 2005, 04:32
hardwork_indian is right, p is the percent of the newspapers sold, so if in all there were 100 papers sold, P were of type A and 100-P were of type B and the rest follows

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SVP
Joined: 28 May 2005
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11 Nov 2005, 06:58
i tried with assuming total newspaper sales = x.

that makes it way to lengthy, still got D,

but hardworker indian's method of assuming total number as 100 is much quicker.
_________________

hey ya......

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11 Nov 2005, 06:58
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