November 17, 2018 November 17, 2018 07:00 AM PST 09:00 AM PST Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT. November 17, 2018 November 17, 2018 09:00 AM PST 11:00 AM PST Join the Quiz Saturday November 17th, 9 AM PST. The Quiz will last approximately 2 hours. Make sure you are on time or you will be at a disadvantage.
Author 
Message 
TAGS:

Hide Tags

Senior Manager
Joined: 15 Sep 2011
Posts: 329
Location: United States
WE: Corporate Finance (Manufacturing)

Last Sunday a certain store sold copies of Newspaper
[#permalink]
Show Tags
Updated on: 10 Aug 2015, 02:14
Question Stats:
58% (03:06) correct 42% (03:47) wrong based on 284 sessions
HideShow timer Statistics
Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $4 each, and the store sold no other newspapers that day. If \(r\) percent of the store's revenue 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 \(p\) in terms of \(r\)? A. \(\frac{{100+5r}}{{400r}}\) B. \(\frac{{400r}}{{100+5r}}\) C. \(\frac{{100+3r}}{{400r}}\) D. \(\frac{{400r}}{{100+3r}}\) E. \(\frac{{100r}}{{100+5r}}\) Question from OG 13, but with a twist. Anybody know how to solve without having to solve for \(r\) first?
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by mejia401 on 09 Aug 2015, 14:25.
Last edited by mejia401 on 10 Aug 2015, 02:14, edited 1 time in total.



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8540
Location: Pune, India

Re: Last Sunday a certain store sold copies of Newspaper
[#permalink]
Show Tags
09 Aug 2015, 22:23
mejia401 wrote: Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $4 each, and the store sold no other newspapers that day. If \(r\) percent of the store's revenue 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 \(p\) in terms of \(r\)? A. \(\frac{{1+5r}}{{400r}}\) B. \(\frac{{400r}}{{1+5r}}\) C. \(\frac{{1+3r}}{{400r}}\) D. \(\frac{{400r}}{{1+3r}}\) E. \(\frac{{100r}}{{1+5r}}\) Question from OG 13, but with a twist. Anybody know how to solve without having to solve for \(r\) first? The options given are not correct (I assume you have made modifications). You have assumed a fraction value for r (e.g. 1/2) and not percent value (e.g. 50). When you say r percent in the question, you are implying that r will take values from 0 to 100. But in that case, your options are incorrect. They assume that r will take values from 0 to 1.
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
GMAT selfstudy has never been more personalized or more fun. Try ORION Free!



Senior Manager
Joined: 15 Sep 2011
Posts: 329
Location: United States
WE: Corporate Finance (Manufacturing)

Re: Last Sunday a certain store sold copies of Newspaper
[#permalink]
Show Tags
10 Aug 2015, 02:18
VeritasPrepKarishma wrote: mejia401 wrote: Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $4 each, and the store sold no other newspapers that day. If \(r\) percent of the store's revenue 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 \(p\) in terms of \(r\)? A. \(\frac{{1+5r}}{{400r}}\) B. \(\frac{{400r}}{{1+5r}}\) C. \(\frac{{1+3r}}{{400r}}\) D. \(\frac{{400r}}{{1+3r}}\) E. \(\frac{{100r}}{{1+5r}}\) Question from OG 13, but with a twist. Anybody know how to solve without having to solve for \(r\) first? The options given are not correct (I assume you have made modifications). You have assumed a fraction value for r (e.g. 1/2) and not percent value (e.g. 50). When you say r percent in the question, you are implying that r will take values from 0 to 100. But in that case, your options are incorrect. They assume that r will take values from 0 to 1. VeritasPrepKarishma Thank you . Do you think modifications to an OG question adds value to the forum (even if the answer choices are right:)?



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8540
Location: Pune, India

Re: Last Sunday a certain store sold copies of Newspaper
[#permalink]
Show Tags
10 Aug 2015, 21:25
mejia401 wrote: VeritasPrepKarishma wrote: mejia401 wrote: Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $4 each, and the store sold no other newspapers that day. If \(r\) percent of the store's revenue 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 \(p\) in terms of \(r\)? A. \(\frac{{1+5r}}{{400r}}\) B. \(\frac{{400r}}{{1+5r}}\) C. \(\frac{{1+3r}}{{400r}}\) D. \(\frac{{400r}}{{1+3r}}\) E. \(\frac{{100r}}{{1+5r}}\) Question from OG 13, but with a twist. Anybody know how to solve without having to solve for \(r\) first? The options given are not correct (I assume you have made modifications). You have assumed a fraction value for r (e.g. 1/2) and not percent value (e.g. 50). When you say r percent in the question, you are implying that r will take values from 0 to 100. But in that case, your options are incorrect. They assume that r will take values from 0 to 1. VeritasPrepKarishma Thank you . Do you think modifications to an OG question adds value to the forum (even if the answer choices are right:)? Yes, I advise people to think how small changes in the question can impact their solution. It helps in better understanding. Though, if you do put up such a question on the forum, I suggest you tag it as "self made" and ensure that the question stem as well as the options are correct. I am sure you wouldn't want people to worry about why their answer doesn't match any option.
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
GMAT selfstudy has never been more personalized or more fun. Try ORION Free!



Math Expert
Joined: 02 Sep 2009
Posts: 50619

Re: Last Sunday a certain store sold copies of Newspaper
[#permalink]
Show Tags
16 Aug 2015, 15:54



Intern
Joined: 05 Apr 2018
Posts: 5

Re: Last Sunday a certain store sold copies of Newspaper
[#permalink]
Show Tags
22 Apr 2018, 20:34
lets assume that x no of newpaper A and Y no of newspaper B were sold.
So, r =x/(1*x+4*y) *100
and p =x/( x+y) *100
rearranging we get,
4(x +y) =4*100* x /p
and x +4y = 100 *x/r
so, 100/r =400/p 3
or 4/p=1/r +3/100
or p=400r/(100 +3r)



Manager
Joined: 10 Apr 2018
Posts: 181

Re: Last Sunday a certain store sold copies of Newspaper
[#permalink]
Show Tags
22 Aug 2018, 23:08
Let total number of copies sold be 100 No of copies of A sold be =x, then number of copies of B sold will be (100x)
Then total revenue will be = x*1 + 4* (100x)= 4003x revenue from A =r%= \(\frac{no of copies of A sold * price per copy}{ total revenue}\) r%=\(\frac{x}{4003x}*100\) r= \(\frac{100x}{4003x}\) equation (1)
p%= \(\frac{no of copies of A sold }{total no of copies sold}*100\)
p= x  equation (2)
Substituting (2) in (1) r= \(\frac{100p}{4003p}\)
then, p=\(\frac{400r}{100+3r}\)



Intern
Joined: 12 Jan 2018
Posts: 2
Location: India
Concentration: Strategy, Marketing
GPA: 3.98
WE: Sales (Computer Software)

Re: Last Sunday a certain store sold copies of Newspaper
[#permalink]
Show Tags
29 Sep 2018, 05:08
lets assume p= 50% and a total number of newspaper is 100. That means 50 of A and 50 of B. the revenues $50 of A and $250 of B. Hence r= $50/$250 = 20%
if we sumbstitute r =20, we should get 50. The answer choice is D




Re: Last Sunday a certain store sold copies of Newspaper &nbs
[#permalink]
29 Sep 2018, 05:08






