Find all School-related info fast with the new School-Specific MBA Forum

It is currently 26 Jan 2015, 19:31

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Quick Sell Outlet sold a total of 40 televisions, each of

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Intern
Intern
avatar
Joined: 01 Jul 2013
Posts: 19
Schools: LBS MIF '15
Followers: 0

Kudos [?]: 23 [1] , given: 16

Quick Sell Outlet sold a total of 40 televisions, each of [#permalink] New post 14 Oct 2013, 07:51
1
This post received
KUDOS
12
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

57% (02:40) correct 43% (01:27) wrong based on 166 sessions
Quick Sell Outlet sold a total of 40 televisions, each of which was either a Model P television or a Model Q television. Each Model P television sold for $p and each Model Q sold for $q. The average (arithmetic mean) selling price of the 40 televisions was $141. How many of the 40 televisions were Model P televisions?

1) the Model P televisions sold for $30 less than the Model Q televisions

2) Either p=120 or q=120
[Reveal] Spoiler: OA
Expert Post
8 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 25290
Followers: 3916

Kudos [?]: 34917 [8] , given: 4062

Re: Quick Sell Outlet sold a total of 40 televisions, each of [#permalink] New post 14 Oct 2013, 08:13
8
This post received
KUDOS
Expert's post
11
This post was
BOOKMARKED
Quick Sell Outlet sold a total of 40 televisions, each of which was either a Model P television or a Model Q television. Each Model P television sold for $p and each Model Q sold for $q. The average (arithmetic mean) selling price of the 40 televisions was $141. How many of the 40 televisions were Model P televisions?

(average price) = (total sales)/(# of televisions sold)

141 = \frac{px+q(40-x)}{40}, where x is the number of Model P televisions sold.

(1) The Model P televisions sold for $30 less than the Model Q televisions --> p=q-30. Not sufficient to get x.

(2) Either p=120 or q=120. Not sufficient.

(1)+(2) If q=120, then p=90, so in this case both prices would be less than the average price ($141) which is not possible. Thus p=120 and q=150. When we substitute these values we'll have only one unknown x, so we can solve for it. Sufficient.

Answer: C.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

CEO
CEO
User avatar
Joined: 09 Sep 2013
Posts: 3859
Followers: 251

Kudos [?]: 49 [0], given: 0

Premium Member
Re: Quick Sell Outlet sold a total of 40 televisions, each of [#permalink] New post 10 Nov 2014, 21:40
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Manager
Manager
User avatar
Status: Please do not forget to give kudos if you like my post
Joined: 19 Sep 2008
Posts: 130
Location: United States (CA)
Followers: 0

Kudos [?]: 31 [0], given: 257

GMAT ToolKit User Premium Member
Re: Quick Sell Outlet sold a total of 40 televisions, each of [#permalink] New post 02 Dec 2014, 19:00
nice conceptual question and well explained by bunuel.

1 and 2 are clearly not sufficient.

1&2. if p = 120 then q = 90 then average cannot be 141 so its has to be p = 150 and q =120.


bulletpoint wrote:
Quick Sell Outlet sold a total of 40 televisions, each of which was either a Model P television or a Model Q television. Each Model P television sold for $p and each Model Q sold for $q. The average (arithmetic mean) selling price of the 40 televisions was $141. How many of the 40 televisions were Model P televisions?

1) the Model P televisions sold for $30 less than the Model Q televisions

2) Either p=120 or q=120

_________________

Please Help with Kudos, if you like my post.


Re: Quick Sell Outlet sold a total of 40 televisions, each of   [#permalink] 02 Dec 2014, 19:00
    Similar topics Author Replies Last post
Similar
Topics:
2 An outlet sold 200 chairs and 120 tables. Each chair was sold at loss alphonsa 1 04 Sep 2014, 22:57
1 If candy bars that regularly sell for $0.40 each are on sale seabhi 1 11 Feb 2014, 06:09
2 Experts publish their posts in the topic The total price of a basic TV and a TV stand was $1,500. If tusharGupta1 2 06 Dec 2013, 08:00
In May, Josep sold 40% of the computers that were sold by kevincan 6 19 Feb 2008, 00:31
One week a certain vehicle rental outlet had a total of 40 ggarr 6 12 Jun 2006, 02:05
Display posts from previous: Sort by

Quick Sell Outlet sold a total of 40 televisions, each of

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

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

Powered by phpBB © phpBB Group and phpBB SEO

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®.