Find all School-related info fast with the new School-Specific MBA Forum

It is currently 30 Jul 2015, 08:14
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Jack and Mark both received hourly wage increases of 6 perce

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
3 KUDOS received
Intern
Intern
avatar
Joined: 17 Jan 2012
Posts: 41
GMAT 1: 610 Q43 V31
Followers: 1

Kudos [?]: 66 [3] , given: 16

Jack and Mark both received hourly wage increases of 6 perce [#permalink] New post 27 Jan 2012, 04:10
3
This post received
KUDOS
10
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

57% (01:54) correct 43% (00:52) wrong based on 470 sessions
Jack and Mark both received hourly wage increases of 6 percent. After the increases, Jack' hourly wage was how many dollars per hour more than Mark's?

(1) Before the wage increases, Jack's hourly wage is $5 per hour more than Mark's
(2) Before the wage increases, the ratio of the Jack's hourly wage to Mark's hourly wage is 4 to 3

[Reveal] Spoiler:
Source : Sandeep Gupta – Director, Ivy-GMAT

This Q is taken from the source above but the answer is not clear.

Q Jack and Mark both received hourly wage increases of 6 percent. After the increases, Jack' hourly wage was
how many dollars per hour more than Mark's?
(1) Before the wage increases, Jack's hourly wage is $5 per hour more than Mark's
(2) Before the wage increases, the ratio of the Jack's hourly wage to Mark's hourly wage is 4 to 3.

PArt (1) Since the question asks only the difference between 2 qty which has undergone similar percent increase, the difference between the two will also undergo same percent increase. so the answer is 5 * 1.06 . SUFFICIENT

Part (2) the ratio b/w 2 qty will remain the same if the 2 qty will have similar percent change. However knowing the ratio will not help us in calculating the difference. so is INSUFFICIENT

Pl Confirm assumptions used in both parts.
[Reveal] Spoiler: OA

Last edited by Bunuel on 05 Mar 2013, 06:23, edited 2 times in total.
Added the OA
Kaplan GMAT Prep Discount CodesKnewton GMAT Discount CodesGMAT Pill GMAT Discount Codes
Senior Manager
Senior Manager
User avatar
Status: May The Force Be With Me (D-DAY 15 May 2012)
Joined: 06 Jan 2012
Posts: 291
Location: India
Concentration: General Management, Entrepreneurship
Followers: 1

Kudos [?]: 123 [0], given: 16

Reviews Badge
Re: Percentages [#permalink] New post 27 Jan 2012, 04:19
Hi,

I dont know if this solution is right or not but made sense to me.... Let me knw if my logic is wrong or not

We need to find Diff =1.06( Jacks' Hourly Wage (J)) -1.06 ( Mark's Hourly Wage (M) )

A ] Sufficient

Diff = 1.06J - 1.06M - Eqn 1
J= M+5 Substitue in Eqn 1 & you get 5

B] Sufficient

J/M = 4/3 => J = 4M/3

You can get a solution for the same as used in A

Therefore D

Hope this helps....
_________________

Giving +1 kudos is a better way of saying 'Thank You'.

Expert Post
4 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 28767
Followers: 4588

Kudos [?]: 47320 [4] , given: 7121

Re: Percentages [#permalink] New post 27 Jan 2012, 04:24
4
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
docabuzar wrote:
Source : Sandeep Gupta – Director, Ivy-GMAT

This Q is taken from the source above but the answer is not clear.

Q Jack and Mark both received hourly wage increases of 6 percent. After the increases, Jack' hourly wage was
how many dollars per hour more than Mark's?
(1) Before the wage increases, Jack's hourly wage is $5 per hour more than Mark's
(2) Before the wage increases, the ratio of the Jack's hourly wage to Mark's hourly wage is 4 to 3.

PArt (1) Since the question asks only the difference between 2 qty which has undergone similar percent increase, the difference between the two will also undergo same percent increase. so the answer is 5 * 1.06 . SUFFICIENT

Part (2) the ratio b/w 2 qty will remain the same if the 2 qty will have similar percent change. However knowing the ratio will not help us in calculating the difference. so is INSUFFICIENT

Pl Confirm assumptions used in both parts.


Yes, your logic is correct.

Jack and Mark both received hourly wage increases of 6 percent. After the increases, Jack' hourly wage was how many dollars per hour more than Mark's?

(1) Before the wage increases, Jack's hourly wage is $5 per hour more than Mark's --> no need for algebra here: as wages increase by 6% then the difference between them also increases by the same 6% --> new difference 5*1.06. Sufficient.

(2) Before the wage increases, the ratio of the Jack's hourly wage to Mark's hourly wage is 4 to 3 --> just ratio is not enough to get the value of new difference, as for different hourly wages we'll get different result: bigger the wages the bigger the difference will be. Not sufficient.

Answer: A.

P.S. Please post PS questions in the PS subforum: gmat-problem-solving-ps-140/ and DS questions in the DS subforum: gmat-data-sufficiency-ds-141/ No posting of PS/DS questions is allowed in the main Math forum. Thank you.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. 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?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 28767
Followers: 4588

Kudos [?]: 47320 [1] , given: 7121

Re: Jack and Mark both received hourly wage increases of 6 perce [#permalink] New post 10 Jun 2013, 02:52
1
This post received
KUDOS
Expert's post
Bumping for review and further discussion*. Get a kudos point for an alternative solution!

*New project from GMAT Club!!! Check HERE

Theory on Percent and Interest Problems: math-number-theory-percents-91708.html

All DS Percent and Interest Problems to practice: search.php?search_id=tag&tag_id=33
All PS Percent and Interest Problems to practice: search.php?search_id=tag&tag_id=54

_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. 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?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 5688
Followers: 322

Kudos [?]: 61 [0], given: 0

Premium Member
Re: Jack and Mark both received hourly wage increases of 6 perce [#permalink] New post 26 Jun 2014, 10:18
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

Intern
Intern
avatar
Joined: 08 Jan 2015
Posts: 1
Followers: 0

Kudos [?]: 0 [0], given: 7

Re: Jack and Mark both received hourly wage increases of 6 perce [#permalink] New post 11 Jan 2015, 00:06
Jack and Mark both received hourly wage increases of 6 percent. After the increases, Jack' hourly wage was how many dollars per hour more than Mark's?

(1) Before the wage increases, Jack's hourly wage is $5 per hour more than Mark's
(2) Before the wage increases, the ratio of the Jack's hourly wage to Mark's hourly wage is 4 to 3


(1) M before x
J before x+5
M after x*1.06
J after (x+5)*1.06
J after - M after = (x+5)*1.06-x*1.06 ---> 1.06(x+5-x) ---> 1.06*5 . Sufficient .

(2) M before 3x
J before 4x
M after 3x*1.06
J after 4x*1.06
J after - M after = 4x*1.06-3x*1.06 ---> 1.06(4x-3x) ---> 1.06*x ---> value of x?. Not Sufficient .

Answer A.
Expert Post
EMPOWERgmat Instructor
User avatar
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 3036
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 134

Kudos [?]: 843 [0], given: 54

Re: Jack and Mark both received hourly wage increases of 6 perce [#permalink] New post 11 Jan 2015, 15:40
Expert's post
Hi All,

Ratios show up on a number of questions on Test Day, so it's important to know your ratio rules (and the various 'formats' that ratios can come in). If you don't immediately see the ratio rules that appear in this question, you can still get to the correct answer by TESTing VALUES.

We're told that Jack and Mark each receive a raise of 6% to their hourly wages. We're asked how much larger Jack's hourly wage is AFTER the increases.

Fact 1: Before the increases, Jack's wage was $5/hour more than Mark's wage

IF....
Jack = $10/hour
Mark = $5/hour
After the raises.....
Jack = 10(1.06) = 10.60
Mark = 5(1.06) = 5.30
So.....Jack's wage is $5.30 more than Mark's

IF....
Jack = $11/hour
Mark = $6/hour
After the raises....
Jack = 11(1.06) = 11.66
Mark = 6(1.06) = 6.36
So....Jack's wage is $5.30 more than Mark's

The result STAYS $5.30 even when the numbers change, so $5.30 is THE difference.
Fact 1 is SUFFICIENT

Fact 2: Before the raises, the ratio of Jack's wage to Mark's wage was 4:3

IF.....
Jack = $4/hour
Mark = $3/hour
After the raises....
Jack = 4(1.06) = 4.24
Mark = 3(1.06) = 3.18
So....Jack's wage is $1.06 more than Mark's

IF....
Jack = $8/hour
Mark = $6/hour
After the raises....
Jack = 8(1.06) = 8.48
Mark = 6(1.06) = 6.36
So....Jack's wage is $2.12 more than Mark's

These two results are DIFFERENT.
Fact 2 is INSUFFICIENT

Final Answer:
[Reveal] Spoiler:
A


GMAT assassins aren't born, they're made,
Rich
_________________

Official Guide 2016 Question Breakdown:
http://gmatclub.com/forum/empowergmat-blog-198415.html#p1527977

Rich Cohen
Rich.C@empowergmat.com
http://www.empowergmat.com

GMAT Club Verified Reviews for EMPOWERgmat & Special Discount

EMPOWERgmat Podcast - A Wild Secret About The GMAT Algorithm


Manager
Manager
User avatar
Joined: 25 Nov 2014
Posts: 58
Concentration: Social Entrepreneurship, Leadership
GMAT 1: 680 Q47 V38
GPA: 4
Followers: 1

Kudos [?]: 18 [0], given: 25

Re: Jack and Mark both received hourly wage increases of 6 perce [#permalink] New post 30 Mar 2015, 06:46
1
This post was
BOOKMARKED
1) x and x+5 are the wages. After increase, their wages : 1.06x and 1.06x+1.06*5. Thus diff = 1.06*5. SUFF.
2) x and 4x/3 are the wages. After increase, their wages : 1.06x and 1.06*4*x/3. Thus diff contains x. Not SUFF.

Ans A.
(I use symbol x for clarity. No need to calculate the value of x, since we know that by taking the diff, the x term cancels in 1 but remains in 2)
_________________

Targetting 750+. Evaluate my answers to help me achieve that!
Press Kudos and help me to Unlock GMAT Club Tests! Thanks in Advance!

Expert Post
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 5743
Location: Pune, India
Followers: 1444

Kudos [?]: 7584 [0], given: 186

Re: Jack and Mark both received hourly wage increases of 6 perce [#permalink] New post 31 Mar 2015, 00:09
Expert's post
docabuzar wrote:
Jack and Mark both received hourly wage increases of 6 percent. After the increases, Jack' hourly wage was how many dollars per hour more than Mark's?

(1) Before the wage increases, Jack's hourly wage is $5 per hour more than Mark's
(2) Before the wage increases, the ratio of the Jack's hourly wage to Mark's hourly wage is 4 to 3

[Reveal] Spoiler:
Source : Sandeep Gupta – Director, Ivy-GMAT

This Q is taken from the source above but the answer is not clear.

Q Jack and Mark both received hourly wage increases of 6 percent. After the increases, Jack' hourly wage was
how many dollars per hour more than Mark's?
(1) Before the wage increases, Jack's hourly wage is $5 per hour more than Mark's
(2) Before the wage increases, the ratio of the Jack's hourly wage to Mark's hourly wage is 4 to 3.

PArt (1) Since the question asks only the difference between 2 qty which has undergone similar percent increase, the difference between the two will also undergo same percent increase. so the answer is 5 * 1.06 . SUFFICIENT

Part (2) the ratio b/w 2 qty will remain the same if the 2 qty will have similar percent change. However knowing the ratio will not help us in calculating the difference. so is INSUFFICIENT

Pl Confirm assumptions used in both parts.


An interesting thing to note here is that statement 1 uses the same concept as compound interest. In compound interest, you earn the rate of interest not only on the principal but also on the interest earned till then. We know that Jack's hourly wage is $5 more than Mark. When their wages increase by 6%, Jack earns an extra increase of 6% of $5. So now Jack's wage will be $5+$0.3 = $5.3 more than Mark's wage.

Statement 2 gives us a ratio of wages and not the actual wages. Hence, without any actual number, there is no way we can find the difference in their wages.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Re: Jack and Mark both received hourly wage increases of 6 perce   [#permalink] 31 Mar 2015, 00:09
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic If the price of a gallon of milk and a loaf of bread both increased by Bunuel 7 07 Jul 2015, 01:49
Experts publish their posts in the topic John and David each received a salary increase jlgdr 1 18 Sep 2013, 13:11
2 Peder currently works 40 hours a week. If his hourly wage we guerrero25 2 27 Aug 2013, 01:27
1 Beth and Jim each received a salary increase. If Jim's I3igDmsu 4 07 Jun 2009, 18:43
1 Jack and Mark both received hourly wage increases of 6 irishspring 9 01 Jun 2008, 12:00
Display posts from previous: Sort by

Jack and Mark both received hourly wage increases of 6 perce

  Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group and phpBB SEO

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®.