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

It is currently 29 Jul 2015, 11:05
GMAT Club Tests

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

The table above shows the total sales recorded in July for

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Intern
Intern
avatar
Joined: 23 May 2008
Posts: 49
Followers: 0

Kudos [?]: 23 [0], given: 0

The table above shows the total sales recorded in July for the 5 sales [#permalink] New post 05 Dec 2008, 19:31
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

70% (02:21) correct 30% (01:09) wrong based on 122 sessions
Ann $450,000
Bob $360,000
Cal $190,000
Dot $210,000
Ed $680,000

The table above shows the total sales recorded in July for the 5 salespeople at Acme Truck Sales. It was discovered that one of Cal's sales was incorrectly recorded as one of Ann's sales. After this error was corrected, Ann's total sales were still higher than Cal's total sales, and the median of the 5 sales totals was $330,000. What was the value of the incorrectly recorded sale?

A. $30,000
B. $48,000
C. $90,000
D. $120,000
E. $140,000
[Reveal] Spoiler: OA
Manager
Manager
avatar
Joined: 30 Sep 2008
Posts: 111
Followers: 1

Kudos [?]: 11 [0], given: 0

Re: The table above shows the total sales recorded in July for the 5 sales [#permalink] New post 06 Dec 2008, 04:21
Only Cal & Ann have the incorrect figures so $330k must be either belong to Ann or Cal

If belong to Cal, as Ann's total sales, 680k, 360k > 330k, so the median is either Ann's or 360k

Therefore 330k must be belong to Ann,

Ann 330,000
Cal 310,00
Expert Post
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 5739
Location: Pune, India
Followers: 1444

Kudos [?]: 7578 [0], given: 186

Re: The table above shows the total sales recorded in July for the 5 sales [#permalink] New post 24 Jul 2011, 20:25
Expert's post
snowbirdskier wrote:
Ann $450,000
Bob $360,000
Cal $190,000
Dot $210,000
Ed $680,000

The table above shows the total sales recoreded in July for the 5 salespeople at Acme Truck Sales. It was discovered that one of Cal's sales was incorrectly recorded as one of Ann's sales. After this error was corrected, Ann's total sales were still higher than Cal's total sales, and the median of the 5 sales totals was $330,000. What was the value of the incorrectly recorded sale? (GMAT practice test)


There are 5 values given to us and their median is 330 (Let's ignore the extra 0s). What does that mean?

Say there is a list of numbers: 4, 6, 9, 12, 35
How do you get the median? It is the middle value in case you have odd number of values in increasing/decreasing order. It doesn't matter what the other values are. Median is equal to the value right in the middle.

If median of a list of 5 values is 330, it means that 330 must be one of the 5 values. 2 values must be greater than 330 and 2 must be smaller than 330.

Let me arrange the given list in decreasing order:

Ann $450,000
Bob $360,000
Cal $190,000
Dot $210,000
Ed $680,000

680, 450, 360, 210, 190
I cannot touch the other 3 values (Just the red ones (Ann's and Cal's)). Since 680 and 360 remain and are greater than 330, so my actual list should look something like this:

680, 360, 330, ....., ..... (210 occupies one of these blanks)

The question now is: To whom does this 330 belong?

If Ann's sales decreases from 450 to 330, Cal's sale should increase by 120 (= 450 - 330) i.e. Cal's actual sales should be 190 + 120 = 310.
The list becomes: 680, 360, 330, 310, 210 - satisfies everything. The value of the incorrectly recorded sales must have been $120,000.

Could 330 belong to Cal? Then Cal's sales would have increased by 330 - 190 = 140
Ann's sales would have decreased by 140 to get her actual sales of 310. But it is given that Ann's sales remains higher than Cal's. Hence this is not possible.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Director
Director
avatar
Joined: 28 Jul 2011
Posts: 566
Location: United States
Concentration: International Business, General Management
GPA: 3.86
WE: Accounting (Commercial Banking)
Followers: 2

Kudos [?]: 97 [0], given: 16

The table above shows the total sales recorded in July for [#permalink] New post 01 Feb 2012, 07:01
2
This post was
BOOKMARKED
Ann $450,000
Bob $360,000
Cal $190,000
Dot $210,000
Ed $680,000

The table above shows the total sales recorded in July for the 5 salespeople at Acme Truck Sales. It was discovered that one of Cal's sales was incorrectly recorded as one of Ann's sales. After this error was corrected, Ann's total sales were still higher than Cal's total sales, and the median of the 5 sales totals was $330,000. What was the value of the incorrectly recorded sale?
A. $30,000
B. $48,000
C. $90,000
D. $120,000
E. $140,000
_________________

+1 Kudos If found helpful..

Expert Post
3 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 28754
Followers: 4583

Kudos [?]: 47248 [3] , given: 7115

Re: The table above shows the total sales recorded in July for [#permalink] New post 01 Feb 2012, 09:43
3
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
Ann $450,000
Bob $360,000
Cal $190,000
Dot $210,000
Ed $680,000

The table above shows the total sales recorded in July for the 5 salespeople at Acme Truck Sales. It was discovered that one of Cal's sales was incorrectly recorded as one of Ann's sales. After this error was corrected, Ann's total sales were still higher than Cal's total sales, and the median of the 5 sales totals was $330,000. What was the value of the incorrectly recorded sale?

A. $30,000
B. $48,000
C. $90,000
D. $120,000
E. $140,000

Old sales: {Cal=190, 210, 360, Ann=450, 680}.

Now, the median of a set with odd # of terms is just the middle term (when ordered in ascending /descending order). So, old median=360.

We know that new median=330 and Cal's sales are still less than Ann's, hence Ann's new sales must be 330 (Ann's sales # must be reduced so that it becomes the middle term: 360 and Ann must switch places): {210, Cal, Ann=330, 360, 680}.

The value of the incorrectly recorded sale is Ann's old sales - Ann's new sales = 450 - 330 = 120.

Answer: D.

Hope it's clear.
_________________

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

PLEASE READ AND FOLLOW: 12 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 ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. Tricky questions from previous years.

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

Director
Director
avatar
Joined: 28 Jul 2011
Posts: 566
Location: United States
Concentration: International Business, General Management
GPA: 3.86
WE: Accounting (Commercial Banking)
Followers: 2

Kudos [?]: 97 [0], given: 16

Re: The table above shows the total sales recorded in July for [#permalink] New post 01 Feb 2012, 15:20
Bunuel wrote:
Ann $450,000
Bob $360,000
Cal $190,000
Dot $210,000
Ed $680,000

The table above shows the total sales recorded in July for the 5 salespeople at Acme Truck Sales. It was discovered that one of Cal's sales was incorrectly recorded as one of Ann's sales. After this error was corrected, Ann's total sales were still higher than Cal's total sales, and the median of the 5 sales totals was $330,000. What was the value of the incorrectly recorded sale?

A. $30,000
B. $48,000
C. $90,000
D. $120,000
E. $140,000

Old sales: {Cal=190, 210, 360, Ann=450, 680}.

Now, the median of a set with odd # of terms is just a middle term (when ordered in ascending /descending order). So, old median=360.

We know that new median=330 and Cal's sales are still less than Ann's, hence Ann's new sales must be 330 (Ann's sales # must be reduced so that it becomes the middle term: 360 and Ann must switch places): {210, Cal, Ann=330, 360, 680}.

The value of the incorrectly recorded sale is Ann's old sales - Ann's new sales = 450 - 330 = 120.

Answer: D.

Hope it's clear.


Hi Bunnel

Here how do we now that Ann's sales=330. The question says ann's sales were higher than cal's and we are not sure about any particular value and we too don't know how much cal's sales were increased, so how can we order the list in the this way

{210, Cal, Ann=330, 360, 680}.

Plz correct me if i am wrong
_________________

+1 Kudos If found helpful..

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 28754
Followers: 4583

Kudos [?]: 47248 [0], given: 7115

Re: The table above shows the total sales recorded in July for [#permalink] New post 01 Feb 2012, 15:25
Expert's post
kotela wrote:
Hi Bunnel

Here how do we now that Ann's sales=330. The question says ann's sales were higher than cal's and we are not sure about any particular value and we too don't know how much cal's sales were increased, so how can we order the list in the this way

{210, Cal, Ann=330, 360, 680}.

Plz correct me if i am wrong


First of all either Cal's or Ann's sales must be 330. Now, if Cal's sales are 330 then as Ann>Cal then the ordering would be {210, Cal=330, Ann>Cal, 360, 680} --> median={Ann's sales}>330, but we know that the median is 330, so this case is not possible.

Hope it's clear.
_________________

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

PLEASE READ AND FOLLOW: 12 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 ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. Tricky questions from previous years.

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

Director
Director
avatar
Joined: 28 Jul 2011
Posts: 566
Location: United States
Concentration: International Business, General Management
GPA: 3.86
WE: Accounting (Commercial Banking)
Followers: 2

Kudos [?]: 97 [0], given: 16

Re: The table above shows the total sales recorded in July for [#permalink] New post 01 Feb 2012, 17:22
Bunuel wrote:
kotela wrote:
Hi Bunnel

Here how do we now that Ann's sales=330. The question says ann's sales were higher than cal's and we are not sure about any particular value and we too don't know how much cal's sales were increased, so how can we order the list in the this way

{210, Cal, Ann=330, 360, 680}.

Plz correct me if i am wrong


First of all either Cal's or Ann's sales must be 330. Now, if Cal's sales are 330 then as Ann>Cal then the ordering would be {210, Cal=330, Ann>Cal, 360, 680} --> median={Ann's sales}>330, but we know that the median is 330, so this case is not possible.

Hope it's clear.


ya that makes sense...

I always miss reading small parts in a sentence...
_________________

+1 Kudos If found helpful..

Expert Post
Verbal Forum Moderator
Verbal Forum Moderator
User avatar
Joined: 10 Oct 2012
Posts: 629
Followers: 62

Kudos [?]: 746 [0], given: 135

Premium Member
Re: The table above shows the total sales recorded in July for [#permalink] New post 23 May 2013, 09:59
Expert's post
mydreammba wrote:
Ann $450,000
Bob $360,000
Cal $190,000
Dot $210,000
Ed $680,000

The table above shows the total sales recorded in July for the 5 salespeople at Acme Truck Sales. It was discovered that one of Cal's sales was incorrectly recorded as one of Ann's sales. After this error was corrected, Ann's total sales were still higher than Cal's total sales, and the median of the 5 sales totals was $330,000. What was the value of the incorrectly recorded sale?
A. $30,000
B. $48,000
C. $90,000
D. $120,000
E. $140,000


Let the transaction amount be x. Given that 450,000-x>190,000+x --> 2x<260,000 --> x<130,000

Now the new median is 330,000. As the only 2 values changing are that of Cal's and Ann's, this new median must be either the increased sales figure of Cal, or the deflated sales figure of Ann.

Cal : 330,000-190,000 =x = 140,000--> Not possible as x<130,000. Thus the median is the new sales figure of Ann --> 450,000-330,000 = 120,000.
D.
_________________

All that is equal and not-Deep Dive In-equality

Hit and Trial for Integral Solutions

Manager
Manager
avatar
Status: Working hard to score better on GMAT
Joined: 02 Oct 2012
Posts: 90
Location: Nepal
Concentration: Finance, Entrepreneurship
GPA: 3.83
WE: Accounting (Consulting)
Followers: 0

Kudos [?]: 93 [0], given: 23

Re: The table above shows the total sales recorded in July for [#permalink] New post 25 May 2013, 23:53
mydreammba wrote:
Ann $450,000
Bob $360,000
Cal $190,000
Dot $210,000
Ed $680,000

The table above shows the total sales recorded in July for the 5 salespeople at Acme Truck Sales. It was discovered that one of Cal's sales was incorrectly recorded as one of Ann's sales. After this error was corrected, Ann's total sales were still higher than Cal's total sales, and the median of the 5 sales totals was $330,000. What was the value of the incorrectly recorded sale?
A. $30,000
B. $48,000
C. $90,000
D. $120,000
E. $140,000

Can anyone please help with this......


My approach:
As question stem tells that median is 330000, take a quick look for the other salesmen to match this median. None has 330000 sales. Thus this must of of either Ann's or cal's.

besides that question further tells ann's and cal's amount is misplaced. so let us try to make Ann's sells 330000. Then we have to reduce 12000. this will be added to cal's and become 310000. this satisfies the condition that:

Ann's sales amount > Cal's sales amount.

To verify check by making Cal's amount 330000 above mentioned condition will be violated.

Thus The misplaced amount is 120000.
_________________

Do not forget to hit the Kudos button on your left if you find my post helpful.

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 5680
Followers: 321

Kudos [?]: 61 [0], given: 0

Premium Member
Re: The table above shows the total sales recorded in July for [#permalink] New post 24 Jul 2014, 04:36
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

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 5680
Followers: 321

Kudos [?]: 61 [0], given: 0

Premium Member
Re: The table above shows the total sales recorded in July for the 5 sales [#permalink] New post 06 Mar 2015, 14:55
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

Expert Post
EMPOWERgmat Instructor
User avatar
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 3023
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 132

Kudos [?]: 839 [0], given: 53

Re: The table above shows the total sales recorded in July for the 5 sales [#permalink] New post 06 Mar 2015, 17:51
Expert's post
HI All,

Karishma's explanation is spot-on, so I won't rehash any of that here. I do want to point out that if the original poster had included the 5 answer choices, then we could have used them against the prompt and TESTed THE ANSWERS. That approach likely would have been easier (and taken less time) than the approach that we are all forced to take without having the answer choices. Remember that most questions on the Official GMAT can be approached in more than one way. Having the flexibility to solve problems in multiple ways can help you to score at a higher level on Test Day.

GMAT assassins aren't born, they're made,
Rich
_________________

Official Guide 2016 Question Breakdown:
http://gmatclub.com/forum/empowergmat-blog-198415.html#p1527977

Rich Cohen
Rich.C@empowergmat.com
http://www.empowergmat.com

GMAT Club Verified Reviews for EMPOWERgmat & Special Discount

EMPOWERgmat Podcast - A Wild Secret About The GMAT Algorithm


Re: The table above shows the total sales recorded in July for the 5 sales   [#permalink] 06 Mar 2015, 17:51
    Similar topics Author Replies Last post
Similar
Topics:
6 Experts publish their posts in the topic The table above shows the distribution of the number goodyear2013 4 27 Mar 2014, 15:56
2 Experts publish their posts in the topic The table above shows the distribution of test scores for a LM 5 10 May 2010, 08:37
8 Experts publish their posts in the topic The table above shows the distribution of test scores for a divakarbio7 9 01 Apr 2010, 05:56
6 Experts publish their posts in the topic The table above shows the amount of waste material, in tons kt00381n 6 01 Nov 2009, 12:13
3 Experts publish their posts in the topic The table above shows the cost, in dollars, of traveling to bmwhype2 9 02 Jun 2007, 10:57
Display posts from previous: Sort by

The table above shows the total sales recorded in July for

  Question banks Downloads My Bookmarks Reviews Important topics  


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®.