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Last Sunday a certain store sold copies of Newspaper A for

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Manager
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Last Sunday a certain store sold copies of Newspaper A for [#permalink] New post 05 Sep 2004, 01:04
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A
B
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D
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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 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)
Director
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 [#permalink] New post 05 Sep 2004, 08:00
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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 [#permalink] New post 29 Nov 2004, 10:32
Good question.
Anybody has another way to solve this ?
Manager
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 [#permalink] New post 29 Nov 2004, 11:55
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...

:stupid
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 [#permalink] New post 29 Nov 2004, 13:20
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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 [#permalink] New post 10 Nov 2005, 23:32
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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 [#permalink] New post 11 Nov 2005, 03:32
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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 [#permalink] New post 11 Nov 2005, 05:58
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......

  [#permalink] 11 Nov 2005, 05:58
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