GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 18 Oct 2018, 02:25

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.

Close

Request Expert Reply

Confirm Cancel

If Mel saved more than $10 by purchasing a sweater at a 15 p

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49987
If Mel saved more than $10 by purchasing a sweater at a 15 p  [#permalink]

Show Tags

New post 03 Feb 2014, 01:19
5
10
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

78% (03:03) correct 22% (01:07) wrong based on 862 sessions

HideShow timer Statistics

The Official Guide For GMAT® Quantitative Review, 2ND Edition

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

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 Project

Each 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!

_________________

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?
Extra-hard Quant Tests with Brilliant Analytics

Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49987
Re: If Mel saved more than $10 by purchasing a sweater at a 15 p  [#permalink]

Show Tags

New post 03 Feb 2014, 01:20
2
5
SOLUTION

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

We are told that 15 percent discount from the original price is more than $10:

0.15*{price} > 10;

{price} > 1,000/15;

{price} > 66 2/3.

Answer: B.
_________________

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?
Extra-hard Quant Tests with Brilliant Analytics

General Discussion
Director
Director
User avatar
Joined: 25 Apr 2012
Posts: 692
Location: India
GPA: 3.21
WE: Business Development (Other)
Premium Member Reviews Badge
Re: If Mel saved more than $10 by purchasing a sweater at a 15 p  [#permalink]

Show Tags

New post 03 Feb 2014, 03:38
4
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
Intern
avatar
Joined: 30 Jan 2014
Posts: 17
Re: If Mel saved more than $10 by purchasing a sweater at a 15 p  [#permalink]

Show Tags

New post 03 Feb 2014, 05:16
3
1
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 < X-10
10<0.15X
X>66.66

B.
_________________

Please +1 KUDO if my post helps. Thank you.

Manager
Manager
avatar
Joined: 20 Dec 2013
Posts: 238
Location: India
Re: If Mel saved more than $10 by purchasing a sweater at a 15 p  [#permalink]

Show Tags

New post 03 Feb 2014, 11:28
1
Ans B

15/100 of x > 10

x>66.67 rounded off to 67.
Manager
Manager
User avatar
Joined: 11 Jan 2014
Posts: 89
Concentration: Finance, Statistics
GMAT Date: 03-04-2014
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

New post 03 Feb 2014, 14:10
1
1
15% of X = 10.
X = 1000/15 = 66.67% ~ 67%, (B).
Manager
Manager
User avatar
Status: GMATting
Joined: 21 Mar 2011
Posts: 105
Concentration: Strategy, Technology
GMAT 1: 590 Q45 V27
GMAT ToolKit User
Re: If Mel saved more than $10 by purchasing a sweater at a 15 p  [#permalink]

Show Tags

New post 04 Feb 2014, 02:11
1
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
Director
User avatar
Joined: 10 Mar 2013
Posts: 518
Location: Germany
Concentration: Finance, Entrepreneurship
GMAT 1: 580 Q46 V24
GPA: 3.88
WE: Information Technology (Consulting)
GMAT ToolKit User
Re: If Mel saved more than $10 by purchasing a sweater at a 15 p  [#permalink]

Show Tags

New post 06 Jun 2014, 02:42
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
Intern
avatar
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

New post 22 Apr 2016, 10:51
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
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4094
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
If Mel saved more than $10 by purchasing a sweater at a 15 p  [#permalink]

Show Tags

New post 22 Apr 2016, 12:40
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.. :-D :lol:
_________________

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
avatar
Joined: 26 Jan 2016
Posts: 6
Re: If Mel saved more than $10 by purchasing a sweater at a 15 p  [#permalink]

Show Tags

New post 22 Apr 2016, 13:56
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
User avatar
D
Joined: 04 Sep 2016
Posts: 1207
Location: India
WE: Engineering (Other)
Premium Member CAT Tests
Re: If Mel saved more than $10 by purchasing a sweater at a 15 p  [#permalink]

Show Tags

New post 26 May 2018, 21:06
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
avatar
D
Joined: 25 Feb 2013
Posts: 1217
Location: India
GPA: 3.82
GMAT ToolKit User Premium Member Reviews Badge
If Mel saved more than $10 by purchasing a sweater at a 15 p  [#permalink]

Show Tags

New post 26 May 2018, 22:04
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 adkikani

the 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?"
Senior Manager
Senior Manager
avatar
S
Joined: 19 Oct 2013
Posts: 267
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
GMAT ToolKit User
Re: If Mel saved more than $10 by purchasing a sweater at a 15 p  [#permalink]

Show Tags

New post 29 Sep 2018, 10:07
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

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

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 Project

Each 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
Intern
avatar
B
Joined: 29 Jan 2018
Posts: 34
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

New post 01 Oct 2018, 06:26
85/100 *x =x +10

66.6 ...67 ANS.
Is this approach correct ?
GMAT Club Bot
Re: If Mel saved more than $10 by purchasing a sweater at a 15 p &nbs [#permalink] 01 Oct 2018, 06:26
Display posts from previous: Sort by

If Mel saved more than $10 by purchasing a sweater at a 15 p

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.