GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 16 Nov 2018, 22:52

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Events & Promotions

Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• Free GMAT Strategy Webinar

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.
• GMATbuster's Weekly GMAT Quant Quiz # 9

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.

Last Sunday a certain store sold copies of Newspaper

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
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
2
15
00:00

Difficulty:

95% (hard)

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?

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
1
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 self-study 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 self-study 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
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. $$\frac{{100+5r}}{{400r}}$$

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?

Similar question to practice: last-sunday-a-certain-store-sold-copies-of-newspaper-a-for-101739.html
_________________
Intern
Joined: 05 Apr 2018
Posts: 5
GMAT 1: 630 Q50 V25
Re: Last Sunday a certain store sold copies of Newspaper  [#permalink]

Show Tags

22 Apr 2018, 20:34
1
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

re-arranging 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
1
1
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 (100-x)

Then total revenue will be = x*1 + 4* (100-x)= 400-3x
revenue from A =r%= $$\frac{no of copies of A sold * price per copy}{ total revenue}$$
r%=$$\frac{x}{400-3x}*100$$
r= $$\frac{100x}{400-3x}$$ 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= $$\frac{100p}{400-3p}$$

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
Display posts from previous: Sort by

Last Sunday a certain store sold copies of Newspaper

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.