December 13, 2018 December 13, 2018 08:00 AM PST 09:00 AM PST What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL. December 14, 2018 December 14, 2018 09:00 AM PST 10:00 AM PST 10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51167

If Mel saved more than $10 by purchasing a sweater at a 15 p
[#permalink]
Show Tags
03 Feb 2014, 00:19
Question Stats:
78% (02:44) correct 22% (01:08) wrong based on 1053 sessions
HideShow timer Statistics
The Official Guide For GMAT® Quantitative Review, 2ND EditionIf Mel saved more than $10 by purchasing a sweater at a 15 percent discount, what is the smallest amount the original price of the sweater could be, to the nearest dollar? (A) 45 (B) 67 (C) 75 (D) 83 (E) 150 Problem Solving Question: 73 Category: Arithmetic; Algebra Percents; Inequalities; Applied problems Page: 71 Difficulty: 600 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you!
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
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




Math Expert
Joined: 02 Sep 2009
Posts: 51167

Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
[#permalink]
Show Tags
03 Feb 2014, 00:20




Director
Joined: 25 Apr 2012
Posts: 684
Location: India
GPA: 3.21
WE: Business Development (Other)

Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
[#permalink]
Show Tags
03 Feb 2014, 02:38
If Mel saved more than $10 by purchasing a sweater at a 15 percent discount, what is the smallest amount the original price of the sweater could be, to the nearest dollar? (A) 45 (B) 67 (C) 75 (D) 83 (E) 150 Let the smallest amount the original price of sweater be X So if we have 0.15*X>10 X> 10/0.15> 2/3*100= 66 Hence X is greater than 66. Smallest possible value will be 67. Ans B Difficulty level around 650 okay
_________________
“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”



Intern
Joined: 30 Jan 2014
Posts: 17

Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
[#permalink]
Show Tags
03 Feb 2014, 04:16
If Mel saved more than $10 by purchasing a sweater at a 15 percent discount, what is the smallest amount the original price of the sweater could be, to the nearest dollar? (A) 45 (B) 67 (C) 75 (D) 83 (E) 150 0.85X < X10 10<0.15X X>66.66 B.
_________________
Please +1 KUDO if my post helps. Thank you.



Manager
Joined: 20 Dec 2013
Posts: 230
Location: India

Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
[#permalink]
Show Tags
03 Feb 2014, 10:28
Ans B
15/100 of x > 10
x>66.67 rounded off to 67.



Manager
Joined: 11 Jan 2014
Posts: 89
Concentration: Finance, Statistics
GMAT Date: 03042014
GPA: 3.77
WE: Analyst (Retail Banking)

Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
[#permalink]
Show Tags
03 Feb 2014, 13:10
15% of X = 10. X = 1000/15 = 66.67% ~ 67%, (B).



Manager
Status: GMATting
Joined: 21 Mar 2011
Posts: 105
Concentration: Strategy, Technology

Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
[#permalink]
Show Tags
04 Feb 2014, 01:11
As a starting point, we can assume 15% of x = 10, where x is the price of sweater; Simplifying, we get x ~ 66.67.
Since Mel received a discount of more than 10%, the lowest price should at least be 66.67$ = 67$
Ans is B.



Director
Joined: 10 Mar 2013
Posts: 503
Location: Germany
Concentration: Finance, Entrepreneurship
GPA: 3.88
WE: Information Technology (Consulting)

Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
[#permalink]
Show Tags
06 Jun 2014, 01:42
if 15 % are 10$ > 1% is 10/15 THAN 100% > 100*(10/15) = 66,7
_________________
When you’re up, your friends know who you are. When you’re down, you know who your friends are.
Share some Kudos, if my posts help you. Thank you !
800Score ONLY QUANT CAT1 51, CAT2 50, CAT3 50 GMAT PREP 670 MGMAT CAT 630 KAPLAN CAT 660



Intern
Joined: 25 Jan 2016
Posts: 18
Location: United States (OH)
GPA: 3.7

Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
[#permalink]
Show Tags
22 Apr 2016, 09:51
I am seeing most of the solutions here were done with algebra. However, do you think it is just as efficient to think conceptually. Or did I happen to get lucky?
10% of 67 is 6.7
half of 6.7 is 3.35.
6.7+3.35 is 10.05.
is this an ok approach ?



Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4274
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)

If Mel saved more than $10 by purchasing a sweater at a 15 p
[#permalink]
Show Tags
22 Apr 2016, 11:40
ross14 wrote: I am seeing most of the solutions here were done with algebra. However, do you think it is just as efficient to think conceptually. Or did I happen to get lucky?
10% of 67 is 6.7
half of 6.7 is 3.35.
6.7+3.35 is 10.05.
is this an ok approach ? Absolutely Ok , no issues with your approach!! Infact QA questions can be solved by multiple approaches and it is good for test takers to explore alternate approaches and adopt the one with which they are confident to answer the question correctly. The main aim for any approach for tackling GMAT Question will be  1. Accuracy 2. Minimum Time Whichever approach you adopt doesn't matter. For the particular question IMHO Bunuels approach is the quickest and the best ( without unnecessarily involving in the complexity of handling decimal numbers) Undoubtedly U have a very good approach as well and this strategy really work well.. Keep practicing and finding out the strategy for tackling a particular problem with minimum time, the one that suits you  adopt it..
_________________
Thanks and Regards
Abhishek....
PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS
How to use Search Function in GMAT Club  Rules for Posting in QA forum  Writing Mathematical Formulas Rules for Posting in VA forum  Request Expert's Reply ( VA Forum Only )



Banned
Joined: 25 Jan 2016
Posts: 6

Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
[#permalink]
Show Tags
22 Apr 2016, 12:56
I think easiest approach is looking at the answers. By estimation, only b works. The others don't make sense. 20 seconds.



Study Buddy Forum Moderator
Joined: 04 Sep 2016
Posts: 1268
Location: India
WE: Engineering (Other)

Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
[#permalink]
Show Tags
26 May 2018, 20:06
Hi Abhishek009 Bunuel niks18 gmatbusters Quote: If Mel saved more than $10 by purchasing a sweater at a 15 percent discount, what is the smallest amount the original price of the sweater could be, to the nearest dollar? Can you advise what should be the change in above Q for below step? 0.85*{price} > 10; Shall it be: If Mel saved more than $10 by purchasing a sweater to a 15 percent discount,
_________________
It's the journey that brings us happiness not the destination.



PS Forum Moderator
Joined: 25 Feb 2013
Posts: 1217
Location: India
GPA: 3.82

If Mel saved more than $10 by purchasing a sweater at a 15 p
[#permalink]
Show Tags
26 May 2018, 21:04
adkikani wrote: Hi Abhishek009 Bunuel niks18 gmatbusters Quote: If Mel saved more than $10 by purchasing a sweater at a 15 percent discount, what is the smallest amount the original price of the sweater could be, to the nearest dollar? Can you advise what should be the change in above Q for below step? 0.85*{price} > 10; Shall it be: If Mel saved more than $10 by purchasing a sweater to a 15 percent discount, Hi adkikanithe original question is about saving MORE than $10 through a discount of 15%. Discount will lead to saving, hence the original inequality will be 0.15*Price>10 Now coming to your question, what you have done here 0.85*Price>10 is that $10 saving is 85% more than the original price. Hence the question COULD be reworded as  "If Mel saved more than $10 by purchasing a sweater at 15 percent of its original price, what is the smallest amount the original price of the sweater could be, to the nearest dollar?"



Director
Joined: 19 Oct 2013
Posts: 509
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)

Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
[#permalink]
Show Tags
29 Sep 2018, 09:07
Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionIf Mel saved more than $10 by purchasing a sweater at a 15 percent discount, what is the smallest amount the original price of the sweater could be, to the nearest dollar? (A) 45 (B) 67 (C) 75 (D) 83 (E) 150 Problem Solving Question: 73 Category: Arithmetic; Algebra Percents; Inequalities; Applied problems Page: 71 Difficulty: 600 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you! The straightforward approach is to realize that we saved more than 10 dollars and the discount is 15% We look at the options. A) 45 and 10% equals 4.5 and 5% would be half of 4.5 so 2.25 + 4.5 = 6.75 less than 10 now B) 67,, 10% equals 6.7 and 5% equals 3.35 so 6.7 + 3.35 = 10.05 >10 and the smallest amount. Answer choice B.



Intern
Joined: 29 Jan 2018
Posts: 48
Concentration: Marketing, Strategy
WE: Business Development (Retail)

Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
[#permalink]
Show Tags
01 Oct 2018, 05:26
85/100 *x =x +10
66.6 ...67 ANS. Is this approach correct ?



Director
Joined: 31 Oct 2013
Posts: 876
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)

Re: If Mel saved more than $10 by purchasing a sweater at a 15 p
[#permalink]
Show Tags
24 Oct 2018, 13:00
Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionIf Mel saved more than $10 by purchasing a sweater at a 15 percent discount, what is the smallest amount the original price of the sweater could be, to the nearest dollar? (A) 45 (B) 67 (C) 75 (D) 83 (E) 150 Problem Solving Question: 73 Category: Arithmetic; Algebra Percents; Inequalities; Applied problems Page: 71 Difficulty: 600 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you! 60 * 01.5 = 9
70 * 0.15 = 10.5
60............67..............70
Thus the best answer is B.



Intern
Joined: 24 Feb 2018
Posts: 35
Location: India
GPA: 3.35
WE: Military Officer (Military & Defense)

If Mel saved more than $10 by purchasing a sweater at a 15 percent
[#permalink]
Show Tags
14 Nov 2018, 10:21
If Mel saved more than $10 by purchasing a sweater at a 15 percent discount, what is the smallest amount the original price of the sweater could be, to the nearest dollar?
A. 45 B. 67 C. 75 D. 83 E. 150



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8667
Location: Pune, India

Re: If Mel saved more than $10 by purchasing a sweater at a 15 percent
[#permalink]
Show Tags
14 Nov 2018, 10:48
militarytocorp wrote: If Mel saved more than $10 by purchasing a sweater at a 15 percent discount, what is the smallest amount the original price of the sweater could be, to the nearest dollar?
A. 45 B. 67 C. 75 D. 83 E. 150 Let's calculate what happens if she saves exactly $10. Marked Price * (15/100) = 10 Marked Price = 200/3 = 66.67 The marked price must be greater than 66.67 since she saved more than $10. So the minimum amount of marked price = $67 Answer (B)
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >




Re: If Mel saved more than $10 by purchasing a sweater at a 15 percent &nbs
[#permalink]
14 Nov 2018, 10:48






