December 10, 2018 December 10, 2018 10:00 PM PST 11:00 PM PST Practice the one most important Quant section  Integer properties, and rapidly improve your skills. December 11, 2018 December 11, 2018 09:00 PM EST 10:00 PM EST Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 08 Dec 2012
Posts: 39

Ellen can purchase a certain computer at a local store at th
[#permalink]
Show Tags
Updated on: 18 Jan 2015, 02:05
Question Stats:
62% (02:22) correct 38% (02:24) wrong based on 578 sessions
HideShow timer Statistics
Ellen can purchase a certain computer at a local store at the price of p dollars and pay a 6 percent sales tax. Alternatively, Ellen can purchase the same computer from a catalog for a total of q dollars, including all taxes and shipping costs. Will it cost more for Ellen to purchase the computer from the local store than from the catalog? (1) q  p < 50 (2) q = 1,150
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by SUNGMAT710 on 11 Sep 2013, 02:16.
Last edited by Bunuel on 18 Jan 2015, 02:05, edited 2 times in total.
Edited the question.




Math Expert
Joined: 02 Sep 2009
Posts: 51072

Re: Ellen can purchase a certain computer at a local store at th
[#permalink]
Show Tags
11 Sep 2013, 02:38
Ellen can purchase a certain computer at a local store at the price of p dollars and pay a 6 percent sales tax. Alternatively, Ellen can purchase the same computer from a catalog for a total of q dollars, including all taxes and shipping costs. Will it cost more for Ellen to purchase the computer from the local store than from the catalog?The price from the store = p+0.06p=1.06p. The price from the catalog = q. The question asks: is 1.06p>q? (1) q  p < 50. If q=p, then the answer is YES (1.06p>q) but if q=120 and p=100, then the answer is NO (1.06p <q). Not sufficient. (2) q = 1,150. The question becomes: is 1.06p>1,150. No info about p. Not sufficient. (1)+(2) Since q = 1,150, then from (1) we have that 1,150p<50 > p>1,100 > 1.06p>1,100*1.06>1,150. Sufficient. Answer: C. Hope it's clear.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  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




Verbal Forum Moderator
Joined: 10 Oct 2012
Posts: 611

Re: Ellen can purchase a certain computer at a local store at th
[#permalink]
Show Tags
11 Sep 2013, 02:25
SUNGMAT710 wrote: Ellen can purchase a certain computer at a local store at the price of p dollars and pay a 6 percent sales tax. Alternatively, Ellen can purchase the same computer from a catalog for a total of q dollars, including all taxes and shipping costs. Will it cost more for Ellen to purchase the computer from the local store than from the catalog?
(1) q  p < 50 (2) q = 1,150 For F.S 1, assume p=100,q=120. Thus, the total cost for purchasing from the local store : 100+6% = 106, and here 106<120. Again, for p=1000,q=1001, the cost from local store = 1000+6% = 1060, and 1060>1001.Insufficient. From F.S 2, we just know the value of q, no information about p. Insufficient. Taking both together, we know that 1150p<50 = p>1100. Thus, the minimum cost by purchasing at the local store, assuming p=1100 = 1100+6% = 1166 and here we clearly see that p>q. Sufficient.
_________________
All that is equal and notDeep Dive Inequality
Hit and Trial for Integral Solutions



SVP
Joined: 06 Sep 2013
Posts: 1728
Concentration: Finance

Re: Ellen can purchase a certain computer at a local store at th
[#permalink]
Show Tags
16 Jan 2014, 15:39
SUNGMAT710 wrote: Ellen can purchase a certain computer at a local store at the price of p dollars and pay a 6 percent sales tax. Alternatively, Ellen can purchase the same computer from a catalog for a total of q dollars, including all taxes and shipping costs. Will it cost more for Ellen to purchase the computer from the local store than from the catalog?
(1) q  p < 50 (2) q = 1,150 Or one could rephrase as follows Is 1.06p>q? (1) qp<50 50+p>q Is 1.06p>50+p? We don't know (2) q = 1150 Not enough (1) and (2) Is 1.06p>1150? Is p more than a little less than 1150? 50+p> 1150 So the price 'p' which is obviously positive is greater than 1150 Therefore we have an answer and its gonna be C Hope its clear J



Intern
Joined: 17 Jul 2013
Posts: 21
Location: India
Concentration: Strategy, International Business
GPA: 3.5
WE: Consulting (Computer Software)

Re: Ellen can purchase a certain computer at a local store at th
[#permalink]
Show Tags
24 Feb 2015, 17:28
guys..
for (1) q  p < 50, can we take q = 100 and p = 110 ? (where q  p = 10 )



Math Expert
Joined: 02 Sep 2009
Posts: 51072

Re: Ellen can purchase a certain computer at a local store at th
[#permalink]
Show Tags
24 Feb 2015, 18:07



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13057
Location: United States (CA)

Re: Ellen can purchase a certain computer at a local store at th
[#permalink]
Show Tags
24 Feb 2015, 21:26
Hi All, Certain types of DS questions will appear on Test Day to measure the thoroughness of your thinking. You can see from the statistics above this prompt that almost half of the people who attempted it got it wrong. My guess is that most (if not all) of them COULD have gotten it correct, but they just didn't do enough work to PROVE what the correct answer is. The prompt tells us about two ways that Ellen could purchase a computer: 1) From a store  for $P + 6% tax 2) From a catalog  for a total price of $Q We're asked if it will cost Ellen MORE to buy the computer from the store than from the catalog. In real simple terms, it's asking "Is 1.06(P) > Q?" This is a YES/NO question. Fact 1: Q  P < 50 From this, we don't know if Q or P is bigger, but we can still TEST VALUES to prove the inconsistency.... IF... Q = 50 P = 1 1.06(1) is NOT > 50. The answer to the question is NO. IF.... Q = 50 P = 53 1.06(53) IS > 50. The answer to the question is YES. Fact 1 is INSUFFICIENT. Fact 2: Q = 1150 This tells us nothing about the value of P, so we cannot figure out the value of 1.06(P). Fact 2 is INSUFFICIENT Combined, we know.... Q  P < 50 Q = 1150 At this point, many Test Takers would assume that this was insufficient, without gathering ANY proof. It's always interesting when Quant questions include specific numbers  those numbers were CHOSEN for a reason. They are NOT by accident. So it's interesting that Q = 1150 EXACTLY. Maybe there's a reason....maybe there's a pattern here.... Substituting in the value of Q, we have... 1150  P < 50 1100 < P Now this provides a lower limit to what P can be, but we MUST factor in the 6% tax too.... At the 'low end', P = just over $1100. With a 6% tax, (.06)(1100) = $66, so 1.06(P), at the minimum = a little more than 1100 + 66 = $1166. Every other possible price for P is GREATER than this. By extension, EVERY possible value of 1.06(P) is greater than Q. Combined, SUFFICIENT. Final Answer: 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
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!*****



Director
Status: Professional GMAT Tutor
Affiliations: AB, cum laude, Harvard University (Class of '02)
Joined: 10 Jul 2015
Posts: 671
Location: United States (CA)
Age: 38
GMAT 1: 770 Q47 V48 GMAT 2: 730 Q44 V47 GMAT 3: 750 Q50 V42
WE: Education (Education)

Ellen can purchase a certain computer at a local store at th
[#permalink]
Show Tags
04 Aug 2016, 18:31
Attached is a visual that should help. For the final step, use estimation. 6 percent of 1000 is 60, so \((>1100) + (>60)\) is always \(> 1,150\).
Attachments
Screen Shot 20160804 at 7.31.57 PM.png [ 921.55 KiB  Viewed 7535 times ]
_________________
Harvard grad and 99% GMAT scorer, offering expert, private GMAT tutoring and coaching worldwide since 2002.
One of the only known humans to have taken the GMAT 5 times and scored in the 700s every time (700, 710, 730, 750, 770), including verified section scores of Q50 / V47, as well as personal bests of 8/8 IR (2 times), 6/6 AWA (4 times), 50/51Q and 48/51V (1 question wrong).
You can download my official testtaker score report (all scores within the last 5 years) directly from the Pearson Vue website: https://tinyurl.com/y94hlarr Date of Birth: 09 December 1979.
GMAT Action Plan and Free EBook  McElroy Tutoring
Contact: mcelroy@post.harvard.edu (I do not respond to PMs on GMAT Club.)
...or find me on Reddit: http://www.reddit.com/r/GMATpreparation



Intern
Joined: 23 Oct 2014
Posts: 1

Re: Ellen can purchase a certain computer at a local store at th
[#permalink]
Show Tags
06 Aug 2016, 23:19
Bunuel wrote: Ellen can purchase a certain computer at a local store at the price of p dollars and pay a 6 percent sales tax. Alternatively, Ellen can purchase the same computer from a catalog for a total of q dollars, including all taxes and shipping costs. Will it cost more for Ellen to purchase the computer from the local store than from the catalog?
The price from the store = p+0.06p=1.06p. The price from the catalog = q.
The question asks: is 1.06p>q?
(1) q  p < 50. If q=p, then the answer is YES (1.06p>q) but if q=120 and p=100, then the answer is NO (1.06p<q). Not sufficient.
(2) q = 1,150. The question becomes: is 1.06p>1,150. No info about p. Not sufficient.
(1)+(2) Since q = 1,150, then from (1) we have that 1,150p<50 > p>1,100 > 1.06p>1,100*1.06>1,150. Sufficient.
Answer: C.
Hope it's clear. Hi when you club option 1& 2, you get 1150p<50. But concluding p>1100 is not correct because we still don't know whether (1150p) is greater than zero or less than zero. Hence i propose my answer as E. Kindly correct me Sent from my Lenovo P1ma40 using GMAT Club Forum mobile app



Board of Directors
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3613

Re: Ellen can purchase a certain computer at a local store at th
[#permalink]
Show Tags
07 Aug 2016, 00:02
ramkumarsm@live.com wrote: Bunuel wrote: Ellen can purchase a certain computer at a local store at the price of p dollars and pay a 6 percent sales tax. Alternatively, Ellen can purchase the same computer from a catalog for a total of q dollars, including all taxes and shipping costs. Will it cost more for Ellen to purchase the computer from the local store than from the catalog?
The price from the store = p+0.06p=1.06p. The price from the catalog = q.
The question asks: is 1.06p>q?
(1) q  p < 50. If q=p, then the answer is YES (1.06p>q) but if q=120 and p=100, then the answer is NO (1.06p<q). Not sufficient.
(2) q = 1,150. The question becomes: is 1.06p>1,150. No info about p. Not sufficient.
(1)+(2) Since q = 1,150, then from (1) we have that 1,150p<50 > p>1,100 > 1.06p>1,100*1.06>1,150. Sufficient.
Answer: C.
Hope it's clear. Hi when you club option 1& 2, you get 1150p<50. But concluding p>1100 is not correct because we still don't know whether (1150p) is greater than zero or less than zero. Hence i propose my answer as E. Kindly correct me Sent from my Lenovo P1ma40 using GMAT Club Forum mobile appWe have to find the difference between 1.06p and 1150. So, even if you take p=1100, you will get 1.06p = 1166 which is greater than 1150. Hence, 1.06p will always be greater than q. Hence C.
_________________
My GMAT Story: From V21 to V40 My MBA Journey: My 10 years long MBA Dream My Secret Hacks: Best way to use GMATClub  Importance of an Error Log! Verbal Resources: All SC Resources at one place  All CR Resources at one place Blog: Subscribe to Question of the Day Blog GMAT Club Inbuilt Error Log Functionality  View More. New Visa Forum  Ask all your Visa Related Questions  here. New! Best Reply Functionality on GMAT Club! Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free Check our new About Us Page here.



Manager
Joined: 23 Jun 2009
Posts: 181
Location: Brazil
GMAT 1: 470 Q30 V20 GMAT 2: 620 Q42 V33

Re: Ellen can purchase a certain computer at a local store at th
[#permalink]
Show Tags
02 Dec 2016, 12:18
For me it is more intuitive if you consider min/max from the differences Posted from my mobile device Posted from my mobile device Posted from my mobile device
Attachments
Screenshot_20161202181543.jpg [ 364.37 KiB  Viewed 6141 times ]



Intern
Joined: 25 Dec 2017
Posts: 5

Re: Ellen can purchase a certain computer at a local store at th
[#permalink]
Show Tags
01 Jan 2018, 10:42
Hello Everyone, I have a question regarding this post. for (1) q  p < 50, can we take q = 100 and p = 110 ? (where q  p = 10 )



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13057
Location: United States (CA)

Re: Ellen can purchase a certain computer at a local store at th
[#permalink]
Show Tags
01 Jan 2018, 11:13
Hi dawnemily6, Yes, the prompt never states that Q or P is larger than the other, so with Fact 1 you can certainly TEST a larger value for P. 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
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!*****




Re: Ellen can purchase a certain computer at a local store at th &nbs
[#permalink]
01 Jan 2018, 11:13






