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

It is currently 20 May 2019, 10:12

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

If the total price for n copies of a book is $31.50, what is the price

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Senior RC Moderator
User avatar
V
Status: Preparing GMAT
Joined: 02 Nov 2016
Posts: 2743
Location: Pakistan
GPA: 3.39
If the total price for n copies of a book is $31.50, what is the price  [#permalink]

Show Tags

New post 03 Apr 2017, 12:44
3
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

68% (02:12) correct 32% (01:46) wrong based on 109 sessions

HideShow timer Statistics

If the total price for n copies of a book is $31.50, what is the price per copy of the book?

(1) If twice as many copies were bought for the same total price, the price per copy would be $1.75.
(2) If 4 fewer copies were bought for the same total price, the price per copy would be $2.80 greater.

_________________
New Project RC Butler 2019 - Practice 2 RC Passages Everyday
Final days of the GMAT Exam? => All GMAT Flashcards.
This Post Helps = Press +1 Kudos
Best of Luck on the GMAT!!
Intern
Intern
User avatar
S
Joined: 20 Jul 2016
Posts: 25
GMAT 1: 660 Q48 V33
Re: If the total price for n copies of a book is $31.50, what is the price  [#permalink]

Show Tags

New post 13 Jun 2017, 07:54
1
abhishekdadarwal2009 wrote:
If the total price for n copies of a book is $31.50, what is the price per copy of the book?

(1) If twice as many copies were bought for the same total price, the price per copy would be $1.75.
(2) If 4 fewer copies were bought for the same total price, the price per copy would be $2.80 greater.

The Cost of per copy =31.50/n

1.31.50/2n=1.75 therefore we can easility find n.

2.31.50/(n-4)=2.80 , Therefore n can be found easily.

D is the correct answer because we can find the answer from both A and B independently.


Hi,

Actually the equation you have written for the second statement is wrong.
S2 says that price per copy would increase by $2.8 but your equation means price per copy becomes $2.8.

So the correct equation is as follows

Initial price per copy = 31.5/n
New price per copy = 31.5/(n-4) = 31.5/n + 2.8
_________________
Regards,
Nitish

+1 kudos if you found this post useful!
Director
Director
User avatar
P
Joined: 04 Sep 2015
Posts: 559
Location: India
WE: Information Technology (Computer Software)
Premium Member Reviews Badge
Re: If the total price for n copies of a book is $31.50, what is the price  [#permalink]

Show Tags

New post 05 Apr 2017, 10:16
If the total price for n copies of a book is $31.50, what is the price per copy of the book?

(1) If twice as many copies were bought for the same total price, the price per copy would be $1.75.
(2) If 4 fewer copies were bought for the same total price, the price per copy would be $2.80 greater.

The Cost of per copy =31.50/n

1.31.50/2n=1.75 therefore we can easility find n.

2.31.50/(n-4)=2.80 , Therefore n can be found easily.

D is the correct answer because we can find the answer from both A and B independently.
Current Student
avatar
S
Joined: 30 May 2017
Posts: 66
Concentration: Finance, General Management
GMAT 1: 690 Q47 V38
GPA: 3.23
Re: If the total price for n copies of a book is $31.50, what is the price  [#permalink]

Show Tags

New post 13 Jun 2017, 15:09
Statement 2 is sufficient because we can use substitution and solve for the remaining variable, correct?
_________________
Veritas Prep 6/18/17 600 Q:38 V:35 IR:5
Veritas Prep 6/29/17 620 Q:43 V:33 IR:4
Manhattan 7/12/17 640 Q:42 V:35 IR:2.4
Veritas Prep 7/27/17 640 Q:41 V:37 IR:4
Manhattan 8/9/17 670 Q:44 V:37 IR:3
Veritas Prep 8/21/17 660 Q:45 V:36 IR:7
GMAT Prep 8/23/17 700 Q:47 V:38 IR:8
GMAT Prep 8/27/17 730 Q:49 V:40 IR:8
Veritas Prep 8/30/17 690 Q:47 V:37 IR:8
Intern
Intern
User avatar
S
Joined: 20 Jul 2016
Posts: 25
GMAT 1: 660 Q48 V33
Re: If the total price for n copies of a book is $31.50, what is the price  [#permalink]

Show Tags

New post 14 Jun 2017, 08:01
Smokeybear00 wrote:
Statement 2 is sufficient because we can use substitution and solve for the remaining variable, correct?


Hi,

Not sure what you mean by substitution here.
You will actually get a quadratic equation here. With values of n=9 and n=-5, since n cannot be negative, thus n=9. Hence sufficient.

Hope it helps.
_________________
Regards,
Nitish

+1 kudos if you found this post useful!
Current Student
avatar
S
Joined: 30 May 2017
Posts: 66
Concentration: Finance, General Management
GMAT 1: 690 Q47 V38
GPA: 3.23
If the total price for n copies of a book is $31.50, what is the price  [#permalink]

Show Tags

New post 14 Jun 2017, 09:16
nitred wrote:
Smokeybear00 wrote:
Statement 2 is sufficient because we can use substitution and solve for the remaining variable, correct?


Hi,

Not sure what you mean by substitution here.
You will actually get a quadratic equation here. With values of n=9 and n=-5, since n cannot be negative, thus n=9. Hence sufficient.

Hope it helps.


I mean since we now know \(p=\frac{31.50}{n-4}-2.80\) we can use that in the original equation in place of P, thus solving for n
_________________
Veritas Prep 6/18/17 600 Q:38 V:35 IR:5
Veritas Prep 6/29/17 620 Q:43 V:33 IR:4
Manhattan 7/12/17 640 Q:42 V:35 IR:2.4
Veritas Prep 7/27/17 640 Q:41 V:37 IR:4
Manhattan 8/9/17 670 Q:44 V:37 IR:3
Veritas Prep 8/21/17 660 Q:45 V:36 IR:7
GMAT Prep 8/23/17 700 Q:47 V:38 IR:8
GMAT Prep 8/27/17 730 Q:49 V:40 IR:8
Veritas Prep 8/30/17 690 Q:47 V:37 IR:8
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2823
Re: If the total price for n copies of a book is $31.50, what is the price  [#permalink]

Show Tags

New post 06 Jul 2017, 17:19
SajjadAhmad wrote:
If the total price for n copies of a book is $31.50, what is the price per copy of the book?

(1) If twice as many copies were bought for the same total price, the price per copy would be $1.75.
(2) If 4 fewer copies were bought for the same total price, the price per copy would be $2.80 greater.


We need to determine 31.5/n.

Statement One Alone:

If twice as many copies were bought for the same total price, the price per copy would be $1.75.

We can create the following equation:

(2n)(1.75) = 31.50

2n = 18

9 = n

Thus, 31.5/9 = $3.50. Statement one alone is sufficient to answer the question.

Statement Two Alone:

If 4 fewer copies were bought for the same total price, the price per copy would be $2.80 greater.

We can create the following equation:

31.50/(n - 4) = 31.50/n + 2.80

We see that we have enough information to determine n and thus enough information to determine the price per copy. Statement two alone is sufficient to answer the question.

Answer: D
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: If the total price for n copies of a book is $31.50, what is the price   [#permalink] 06 Jul 2017, 17:19
Display posts from previous: Sort by

If the total price for n copies of a book is $31.50, what is the price

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


cron
Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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®.