Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 23 May 2008
Posts: 48

The table above shows the total sales recorded in July for the 5 sales [#permalink]
Show Tags
05 Dec 2008, 20:31
4
This post was BOOKMARKED
Question Stats:
70% (02:06) correct
30% (01:14) wrong based on 226 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
Official Answer and Stats are available only to registered users. Register/ Login.



Manager
Joined: 30 Sep 2008
Posts: 111

Re: The table above shows the total sales recorded in July for the 5 sales [#permalink]
Show Tags
06 Dec 2008, 05:21
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



Manager
Joined: 06 Apr 2010
Posts: 146

Cal Sale [#permalink]
Show Tags
29 Apr 2011, 01:56
Attachment:
Cal Sale.JPG [ 20.37 KiB  Viewed 2121 times ]



Senior Manager
Joined: 03 Mar 2010
Posts: 440

Re: Cal Sale [#permalink]
Show Tags
29 Apr 2011, 03:24
CAL 190,000+X DOT 210,000 ANN 450000X BOB 360,000 ED 680,000 Median is middle value if the number of terms are odd. Hence, 450000x = 330,000 x=120,000 OA. D
_________________
My dad once said to me: Son, nothing succeeds like success.



Manager
Joined: 15 Apr 2011
Posts: 64
Location: Bangalore India
Schools: LBS, HBS, ISB, Kelloggs, INSEAD

Re: Cal Sale [#permalink]
Show Tags
29 Apr 2011, 04:46
jamifahad wrote: CAL 190,000+X DOT 210,000 ANN 450000X BOB 360,000 ED 680,000
Median is middle value if the number of terms are odd.
Hence, 450000x = 330,000 x=120,000
OA. D How do you calculated that 450000  x is the median here?
_________________
Thanks, AM



Intern
Joined: 02 Oct 2010
Posts: 20
Schools: Ross,Duke,Emory

Re: Cal Sale [#permalink]
Show Tags
29 Apr 2011, 09:06
1
This post received 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
Hope I've made sense..Probably I've made it lengthy...!!!



Manager
Joined: 15 Apr 2011
Posts: 64
Location: Bangalore India
Schools: LBS, HBS, ISB, Kelloggs, INSEAD

Re: Cal Sale [#permalink]
Show Tags
29 Apr 2011, 09:49
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
Hope I've made sense..Probably I've made it lengthy...!!! Thanks...thats explains it very clearly....actually I was not able to clearly identify this scenario.
_________________
Thanks, AM



VP
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 1327

Re: Cal Sale [#permalink]
Show Tags
18 May 2011, 03:26
45x > 19+x 19+x , 21, 36,45x,68 median = 33 hence 45x = 33 meaning x = 12.
_________________
Visit  http://www.sustainablesphere.com/ Promote Green Business,Sustainable Living and Green Earth !!



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7440
Location: Pune, India

Re: The table above shows the total sales recorded in July for the 5 sales [#permalink]
Show Tags
24 Jul 2011, 21:25
3
This post received 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, 190I 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
Joined: 28 Jul 2011
Posts: 539
Location: United States
Concentration: International Business, General Management
GPA: 3.86
WE: Accounting (Commercial Banking)

The table above shows the total sales recorded in July for [#permalink]
Show Tags
01 Feb 2012, 08:01
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..



Math Expert
Joined: 02 Sep 2009
Posts: 39626

Re: The table above shows the total sales recorded in July for [#permalink]
Show Tags
01 Feb 2012, 10:43
3
This post received 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. Answer: D. Hope it's clear.
_________________
New to the Math Forum? Please read this: All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  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? Extrahard Quant Tests with Brilliant Analytics



Director
Joined: 28 Jul 2011
Posts: 539
Location: United States
Concentration: International Business, General Management
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, 16:20
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..



Math Expert
Joined: 02 Sep 2009
Posts: 39626

Re: The table above shows the total sales recorded in July for [#permalink]
Show Tags
01 Feb 2012, 16:25
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.
_________________
New to the Math Forum? Please read this: All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  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? Extrahard Quant Tests with Brilliant Analytics



Director
Joined: 28 Jul 2011
Posts: 539
Location: United States
Concentration: International Business, General Management
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, 18:22
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..



Verbal Forum Moderator
Joined: 10 Oct 2012
Posts: 629

Re: The table above shows the total sales recorded in July for [#permalink]
Show Tags
23 May 2013, 10:59
1
This post received 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 450,000x>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 : 330,000190,000 =x = 140,000> Not possible as x<130,000. Thus the median is the new sales figure of Ann > 450,000330,000 = 120,000. D.
_________________
All that is equal and notDeep Dive Inequality
Hit and Trial for Integral Solutions



Manager
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)

Re: The table above shows the total sales recorded in July for [#permalink]
Show Tags
26 May 2013, 00:53
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
Joined: 09 Sep 2013
Posts: 15937

Re: The table above shows the total sales recorded in July for [#permalink]
Show Tags
24 Jul 2014, 05:36
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
Joined: 09 Sep 2013
Posts: 15937

Re: The table above shows the total sales recorded in July for the 5 sales [#permalink]
Show Tags
06 Mar 2015, 15:55
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



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 9257
Location: United States (CA)
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, 18:51
HI All, Karishma's explanation is spoton, 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
CoFounder & GMAT Assassin
***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************



GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15937

Re: The table above shows the total sales recorded in July for [#permalink]
Show Tags
14 May 2016, 08:35
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




Re: The table above shows the total sales recorded in July for
[#permalink]
14 May 2016, 08:35







