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

 It is currently 19 Feb 2019, 19:24

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

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

Events & Promotions

Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• Free GMAT Prep Hour

February 20, 2019

February 20, 2019

08:00 PM EST

09:00 PM EST

Strategies and techniques for approaching featured GMAT topics. Wednesday, February 20th at 8 PM EST

February 21, 2019

February 21, 2019

10:00 PM PST

11:00 PM PST

Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.

Beth and Jim each received a salary increase. If Jim's

Author Message
TAGS:

Hide Tags

Manager
Joined: 25 May 2009
Posts: 132
Concentration: Finance
GMAT Date: 12-16-2011

Show Tags

07 Jun 2009, 18:43
3
00:00

Difficulty:

15% (low)

Question Stats:

72% (00:56) correct 28% (01:12) wrong based on 192 sessions

HideShow timer Statistics

Beth and Jim each received a salary increase. If Jim's salary was increased by the same percent as Beth's salary, did Beth receive a greater dollar increase in salary than Jim?

(1) Before the increases, Jim's salary was greater than $25,000. (2) Before the increases, Jim's salary was 4/5 of Beth's salary. Current Student Joined: 03 Aug 2006 Posts: 108 Location: Next to Google Schools: Haas School of Business Re: Beth and Jim each received a salary increase. If Jim's [#permalink] Show Tags 07 Jun 2009, 22:44 1 The answer is B. First it is a 'Yes/No' question. We are not looking for an exact value. Lets look at: 1) Before the increases, Jim's salary was greater than$25,000.
It does not provide any information about Beth's salary. Not Sufficient.

Now lets look at:
2) Before the increases, Jim's salary was 4/5 of Beth's salary.
It tells you a relationship between the two salaries.
Jim's salary = (4/5) x Beth's Salary
Lets assume if Beth's salary is 100 then Jim's salary is (4/5)*100 = 80
The question also tells us that both received the same percentage increase in salary.
Lets say they both received a 10% raise that would mean Beth received a raise of 10 and Jim received a raise of 8 dollars.
The question asks us who received a greater increase in salary. From above it is clear Beth did.

Hence Statement 2 is sufficient.

Conceptually...Stmt 2 tells us Beth's salary is greater than Jim's salary. If you increase two numbers (one larger than the other) by the same percent then the larger number will see a greater increase then the smaller number.
Director
Joined: 23 May 2008
Posts: 686
Re: Beth and Jim each received a salary increase. If Jim's  [#permalink]

Show Tags

07 Jun 2009, 23:47
I3igDmsu wrote:
Beth and Jim each received a salary increase. If Jim's salary was increased by the same percent as Beth's salary, did Beth receive a greater dollar increase in salary than Jim?
1) Before the increases, Jim's salary was greater than $25,000. 2) Before the increases, Jim's salary was 4/5 of Beth's salary. [spoiler]OA:B, please explain why.[/spoiler] 1) no info on Beth, insuff 2) you dont have to do any calculation here. you know that Beths salary was already bigger than Jims because Jims salary was 4/5 Beths. They percent of the raises were the same so x% of the bigger salary will yeild more dollars than x% of the smaller number Manager Joined: 15 Jan 2008 Posts: 245 Re: Beth and Jim each received a salary increase. If Jim's [#permalink] Show Tags 08 Jun 2009, 00:15 IMO B. from the second statement its clear that Jims salary is less than Beth salary. whatever be the percentage, as long as they are equal, the above statement stays the same and also, increases. J < S. hence x%S is always greater than x%J. Director Joined: 26 Oct 2016 Posts: 636 Location: United States Concentration: Marketing, International Business Schools: HBS '19 GMAT 1: 770 Q51 V44 GPA: 4 WE: Education (Education) Re: Beth and Jim each received a salary increase. If Jim's [#permalink] Show Tags 13 Feb 2017, 16:41 In crispy manner it can be said :- first statement gives us no information on Beth's Salary and it actually doesn't say anything other than Jim makes more than 25k so he could make 26k or 275k. second statement tells us who makes more money so we know who gets the bigger raise. Hence B. _________________ Thanks & Regards, Anaira Mitch Manager Joined: 22 May 2015 Posts: 108 Re: Beth and Jim each received a salary increase. If Jim's [#permalink] Show Tags 13 Feb 2017, 17:14 Question : Is B's salary increase > J's Since both the have same % of increase hence B's salary increase is > then J's increase only WHEN B's salary > J's salary 1 ) J > 25000 we dont know B. Hence Insufficient. 2) J = 4/5 B => B's salary is always > than J's which is what the question is asking. Hence B. _________________ Consistency is the Key Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 4940 Location: United States (CA) Re: Beth and Jim each received a salary increase. If Jim's [#permalink] Show Tags 20 Feb 2018, 16:19 1 I3igDmsu wrote: Beth and Jim each received a salary increase. If Jim's salary was increased by the same percent as Beth's salary, did Beth receive a greater dollar increase in salary than Jim? (1) Before the increases, Jim's salary was greater than$25,000.
(2) Before the increases, Jim's salary was 4/5 of Beth's salary.

If Beth’s and Jim’s salaries were increased by the same percent, the only way Beth’s increase (in dollar amount) is more than Jim’s is if Beth’s salary is more than Jim’s.

Statement One Alone:

Before the increases, Jim's salary was greater than $25,000. Since we know nothing about Beth’s salary, we can’t determine whether Beth’s salary is more than Jim’s. Statement one is not sufficient to answer the answer. Statement Two Alone: Before the increases, Jim's salary was 4/5 of Beth's salary. Since Jim's salary was 4/5 of Beth's, Beth’s salary is more than Jim’s. Statement two is sufficient to answer the question. Answer: B _________________ Scott Woodbury-Stewart Founder and CEO GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions GMATH Teacher Status: GMATH founder Joined: 12 Oct 2010 Posts: 750 Re: Beth and Jim each received a salary increase. If Jim's [#permalink] Show Tags 07 Oct 2018, 11:32 I3igDmsu wrote: Beth and Jim each received a salary increase. If Jim's salary was increased by the same percent as Beth's salary, did Beth receive a greater dollar increase in salary than Jim? (1) Before the increases, Jim's salary was greater than$25,000.
(2) Before the increases, Jim's salary was 4/5 of Beth's salary.

$$B,J\,\, > 0\,\,\,\,\left[ \ \right]\,\,\,\,\,\left\{ \matrix{ \,B \to \left( {1 + x} \right)B \hfill \cr \,J \to \left( {1 + x} \right)J \hfill \cr} \right.\,\,\,\,\,\,\,\,\,\,\left( {{\rm{increase}}:\,\,x\,\,\left( \% \right)\,\, > 0} \right)$$

$$xB\mathop > \limits^? xJ\,\,\,\,\,\,\,\mathop \Leftrightarrow \limits^{x\, > \,0} \,\,\,\,\,\,\boxed{\,\,B\mathop > \limits^? J\,\,}\,$$

$$\left( 1 \right)\,\,\,\,J > 25000\,\,\,\left\{ \matrix{ \,{\rm{Take}}\,\,\left( {B,J} \right) = \left( {26000,26000} \right)\,\,\,\, \Rightarrow \,\,\,\left\langle {{\rm{NO}}} \right\rangle \,\, \hfill \cr \,{\rm{Take}}\,\,\left( {B,J} \right) = \left( {27000,26000} \right)\,\,\,\, \Rightarrow \,\,\,\left\langle {{\rm{YES}}} \right\rangle \,\, \hfill \cr} \right.$$

$$\left( 2 \right)\,\,J = {4 \over 5}B\,\,\mathop < \limits^{B\, > \,\,0} \,\,B\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,\,\left\langle {{\rm{YES}}} \right\rangle$$

This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.
_________________

Fabio Skilnik :: GMATH method creator (Math for the GMAT)
Our high-level "quant" preparation starts here: https://gmath.net

Re: Beth and Jim each received a salary increase. If Jim's   [#permalink] 07 Oct 2018, 11:32
Display posts from previous: Sort by