It is currently 12 Dec 2017, 14:07

### 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 June
Open Detailed Calendar

# The table above shows the total sales recorded in July for

Author Message
TAGS:

### Hide Tags

Intern
Joined: 23 May 2008
Posts: 48

Kudos [?]: 99 [0], given: 0

The table above shows the total sales recorded in July for the 5 sales [#permalink]

### Show Tags

05 Dec 2008, 19:31
5
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

72% (01:08) correct 28% (01:22) wrong based on 284 sessions

### HideShow timer Statistics

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

Kudos [?]: 99 [0], given: 0

Manager
Joined: 30 Sep 2008
Posts: 111

Kudos [?]: 20 [0], given: 0

Re: The table above shows the total sales recorded in July for the 5 sales [#permalink]

### Show Tags

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

Kudos [?]: 20 [0], given: 0

Senior Manager
Joined: 03 Mar 2010
Posts: 415

Kudos [?]: 371 [0], given: 22

Schools: Simon '16 (M)

### Show Tags

29 Apr 2011, 02:24
CAL 190,000+X
DOT 210,000
ANN 450000-X
BOB 360,000
ED 680,000

Median is middle value if the number of terms are odd.

Hence, 450000-x = 330,000
x=120,000

OA. D
_________________

My dad once said to me: Son, nothing succeeds like success.

Kudos [?]: 371 [0], given: 22

Manager
Joined: 15 Apr 2011
Posts: 63

Kudos [?]: 8 [0], given: 2

Location: Bangalore India
Schools: LBS, HBS, ISB, Kelloggs, INSEAD

### Show Tags

29 Apr 2011, 03:46
CAL 190,000+X
DOT 210,000
ANN 450000-X
BOB 360,000
ED 680,000

Median is middle value if the number of terms are odd.

Hence, 450000-x = 330,000
x=120,000

OA. D

How do you calculated that 450000 - x is the median here?
_________________

Thanks,
AM

Kudos [?]: 8 [0], given: 2

Intern
Joined: 01 Oct 2010
Posts: 19

Kudos [?]: 3 [1], given: 5

Schools: Ross,Duke,Emory

### Show Tags

29 Apr 2011, 08:06
1
KUDOS
A 4,50,000
B 3,60,000
C 1,90,000
D 2,10,000
E 6,80,000

Problem lies with sales of A & C...i.e. A' sales value 4,50,000 will have to be reduced by x and C's sales value will have to be increased by x. ( given in the problem )

After the correction/rearrangement the median value is 33,000

Keeping the other 3 sales values of B,D,E intact

?,2,10,000,3,30,000 (median),3,60,000,6,80,000

Two possibilities are there :

1.C's sales value of 1,90,000 would have been increased to 3,30,000..In that case, A's sales value becomes 3,10,000.
This goes against the given information that A's sales is still higher than C.

2.So, we can conclude that A's sales value has been decreased to 3,30,000.
Hence the incorrect value = 4,50,000 - 3,30,000 = 1,20,000

Kudos [?]: 3 [1], given: 5

Manager
Joined: 15 Apr 2011
Posts: 63

Kudos [?]: 8 [0], given: 2

Location: Bangalore India
Schools: LBS, HBS, ISB, Kelloggs, INSEAD

### Show Tags

29 Apr 2011, 08:49
1
This post was
BOOKMARKED
ramprakash wrote:
A 4,50,000
B 3,60,000
C 1,90,000
D 2,10,000
E 6,80,000

Problem lies with sales of A & C...i.e. A' sales value 4,50,000 will have to be reduced by x and C's sales value will have to be increased by x. ( given in the problem )

After the correction/rearrangement the median value is 33,000

Keeping the other 3 sales values of B,D,E intact

?,2,10,000,3,30,000 (median),3,60,000,6,80,000

Two possibilities are there :

1.C's sales value of 1,90,000 would have been increased to 3,30,000..In that case, A's sales value becomes 3,10,000.
This goes against the given information that A's sales is still higher than C.

2.So, we can conclude that A's sales value has been decreased to 3,30,000.
Hence the incorrect value = 4,50,000 - 3,30,000 = 1,20,000

Thanks...thats explains it very clearly....actually I was not able to clearly identify this scenario.
_________________

Thanks,
AM

Kudos [?]: 8 [0], given: 2

VP
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 1268

Kudos [?]: 290 [0], given: 10

### Show Tags

18 May 2011, 02:26
45-x > 19+x

19+x , 21, 36,45-x,68
median = 33 hence

45-x = 33 meaning x = 12.
_________________

Visit -- http://www.sustainable-sphere.com/
Promote Green Business,Sustainable Living and Green Earth !!

Kudos [?]: 290 [0], given: 10

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7791

Kudos [?]: 18108 [3], given: 236

Location: Pune, India
Re: The table above shows the total sales recorded in July for the 5 sales [#permalink]

### Show Tags

24 Jul 2011, 20:25
3
KUDOS
Expert's post
1
This post was
BOOKMARKED
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

Kudos [?]: 18108 [3], given: 236

Director
Joined: 28 Jul 2011
Posts: 516

Kudos [?]: 312 [0], given: 16

Location: United States
GPA: 3.86
WE: Accounting (Commercial Banking)
The table above shows the total sales recorded in July for [#permalink]

### Show Tags

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
_________________

Kudos [?]: 312 [0], given: 16

Math Expert
Joined: 02 Sep 2009
Posts: 42571

Kudos [?]: 135384 [3], given: 12691

Re: The table above shows the total sales recorded in July for [#permalink]

### Show Tags

01 Feb 2012, 09:43
3
KUDOS
Expert's post
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

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.

Hope it's clear.
_________________

Kudos [?]: 135384 [3], given: 12691

Director
Joined: 28 Jul 2011
Posts: 516

Kudos [?]: 312 [0], given: 16

Location: United States
GPA: 3.86
WE: Accounting (Commercial Banking)
Re: The table above shows the total sales recorded in July for [#permalink]

### Show Tags

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.

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
_________________

Kudos [?]: 312 [0], given: 16

Math Expert
Joined: 02 Sep 2009
Posts: 42571

Kudos [?]: 135384 [0], given: 12691

Re: The table above shows the total sales recorded in July for [#permalink]

### Show Tags

01 Feb 2012, 15:25
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.
_________________

Kudos [?]: 135384 [0], given: 12691

Director
Joined: 28 Jul 2011
Posts: 516

Kudos [?]: 312 [0], given: 16

Location: United States
GPA: 3.86
WE: Accounting (Commercial Banking)
Re: The table above shows the total sales recorded in July for [#permalink]

### Show Tags

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...
_________________

Kudos [?]: 312 [0], given: 16

Verbal Forum Moderator
Joined: 10 Oct 2012
Posts: 627

Kudos [?]: 1406 [1], given: 136

Re: The table above shows the total sales recorded in July for [#permalink]

### Show Tags

23 May 2013, 09:59
1
KUDOS
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.
_________________

Kudos [?]: 1406 [1], given: 136

Manager
Status: Working hard to score better on GMAT
Joined: 02 Oct 2012
Posts: 89

Kudos [?]: 201 [0], given: 23

Location: Nepal
Concentration: Finance, Entrepreneurship
GPA: 3.83
WE: Accounting (Consulting)
Re: The table above shows the total sales recorded in July for [#permalink]

### Show Tags

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

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.

Kudos [?]: 201 [0], given: 23

EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 10379

Kudos [?]: 3681 [0], given: 173

Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: The table above shows the total sales recorded in July for the 5 sales [#permalink]

### Show Tags

06 Mar 2015, 17:51
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
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

# Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save \$75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Kudos [?]: 3681 [0], given: 173

Non-Human User
Joined: 09 Sep 2013
Posts: 14897

Kudos [?]: 287 [0], given: 0

Re: The table above shows the total sales recorded in July for [#permalink]

### Show Tags

05 Oct 2017, 10:19
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.
_________________

Kudos [?]: 287 [0], given: 0

Re: The table above shows the total sales recorded in July for   [#permalink] 05 Oct 2017, 10:19
Display posts from previous: Sort by