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)
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shovan85
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Total Revenue = 1*p + 1.25*(100 - p) = p + 125 -1.25p = 125 - 0.25p
So the total revenue of A = p/(125-0.25p)
This is equal to r% of total revenue.
So, r/100 = p/(125-0.25p)
=> r = 100p/(125 - p/4) = 400p / (500 - p)
IMO
D
So the total revenue of A = p/(125-0.25p)
This is equal to r% of total revenue.
So, r/100 = p/(125-0.25p)
=> r = 100p/(125 - p/4) = 400p / (500 - p)
IMO
D
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GMATGuruNY
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Let's plug in:deepakb wrote: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)
1 copy of A sold = $1
4 copies of B sold = 4*1.25 = $5
Total sold = 1+4 = 5.
p = 1/5*100 = 20
Total revenue = 1+5 = 6.
r = 1/6*100 = 50/3. This is our target answer.
Now we plug p=20 into all the answers to see which gives us our target of 50/3.
Only answer choice D works:
(400*20)/(500-20) = 8000/480 = 50/3.
The correct answer is D.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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