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

 It is currently 22 Oct 2019, 19:57

### 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

# In a mayoral election, Candidate X received 1/3 more votes t

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58427
In a mayoral election, Candidate X received 1/3 more votes t  [#permalink]

### Show Tags

17 Mar 2014, 00:07
3
4
00:00

Difficulty:

5% (low)

Question Stats:

91% (01:31) correct 9% (02:04) wrong based on 563 sessions

### HideShow timer Statistics

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

In a mayoral election, Candidate X received 1/3 more votes than Candidate Y, and Candidate Y received 1/4 fewer votes than Candidate Z. If Candidate Z received 24,000 votes, how many votes did Candidate X receive?

(A) 18,000
(B) 22,000
(C) 24,000
(D) 26,000
(E) 32,000

Problem Solving
Question: 167
Category: Algebra Applied problems
Page: 84
Difficulty: 550

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!

_________________
##### Most Helpful Community Reply
Manager
Joined: 25 Sep 2012
Posts: 232
Location: India
Concentration: Strategy, Marketing
GMAT 1: 660 Q49 V31
GMAT 2: 680 Q48 V34
Re: In a mayoral election, Candidate X received 1/3 more votes t  [#permalink]

### Show Tags

17 Mar 2014, 04:07
4
1
Z = 100%
Y = 1/4th less than Z = 3/4(Z)
X = 1/3rd more that Y = 4/3 (Y)

Hence X = 4/3*3/4*Z = Z

Answer C
Time Taken 1:05
Difficulty level 550
##### General Discussion
Math Expert
Joined: 02 Sep 2009
Posts: 58427
Re: In a mayoral election, Candidate X received 1/3 more votes t  [#permalink]

### Show Tags

17 Mar 2014, 00:08
1
SOLUTION

In a mayoral election, Candidate X received 1/3 more votes than Candidate Y, and Candidate Y received 1/4 fewer votes than Candidate Z. If Candidate Z received 24,000 votes, how many votes did Candidate X receive?

(A) 18,000
(B) 22,000
(C) 24,000
(D) 26,000
(E) 32,000

Z=24 --> Y received 1/4 fewer votes than Z --> Y=3/4*Z=18;
X received 1/3 more votes than Y --> X=Y+1/3*Y=24.

Answer: C.
_________________
Intern
Joined: 17 Nov 2013
Posts: 1
Re: In a mayoral election, Candidate X received 1/3 more votes t  [#permalink]

### Show Tags

17 Mar 2014, 03:25
2
2
Candidate X= Candidate Y+1/3 CandidateY....1
Candidate Y= Candidate Z-1/4 Candidate Z...2

Candidate Z= 24000 (given)

Solve eq.2
Candidate Y= 18000

Then solve eq. 1

Candidate X= 24000

Answer: C
Manager
Joined: 05 Jul 2015
Posts: 93
Concentration: Real Estate, International Business
GMAT 1: 600 Q33 V40
GPA: 3.3
Re: In a mayoral election, Candidate X received 1/3 more votes t  [#permalink]

### Show Tags

22 Nov 2015, 20:06
Another problem where you should put off doing the math!

X=(4/3)(3/4)24
x=24
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4774
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
Re: In a mayoral election, Candidate X received 1/3 more votes t  [#permalink]

### Show Tags

23 Nov 2015, 12:47
1
Bunuel wrote:
In a mayoral election, Candidate X received 1/3 more votes than Candidate Y, and Candidate Y received 1/4 fewer votes than Candidate Z. If Candidate Z received 24,000 votes, how many votes did Candidate X receive?

Let the total no of votes received by z be 12 ( LCM of 3 and 4)

Y received 9 ( 1/4 fewer votes than Candidate Z.)

X received 12 (1/3 more votes than Candidate Y)

So, that means both X and Z received same number of votes.

Hence X received 24,000 votes!!
_________________
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 )
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 4018
Location: Canada
Re: In a mayoral election, Candidate X received 1/3 more votes t  [#permalink]

### Show Tags

31 Jan 2018, 08:48
1
Top Contributor
2
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

In a mayoral election, Candidate X received 1/3 more votes than Candidate Y, and Candidate Y received 1/4 fewer votes than Candidate Z. If Candidate Z received 24,000 votes, how many votes did Candidate X receive?

(A) 18,000
(B) 22,000
(C) 24,000
(D) 26,000
(E) 32,000

GIVEN: Candidate Z received 24,000 votes

Candidate Y received 1/4 fewer votes than Candidate Z
In other words, Candidate Y received 3/4 of the votes that Candidate Z received
3/4 of 24,000 = (3/4)( 24,000) = 18,000

Candidate X received 1/3 more votes than Candidate Y
1/3 of 18,000 = 6,000
Number of votes that Candidate X received = 18,000 + 6,000 = 24,000

Answer: C

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
SVP
Joined: 03 Jun 2019
Posts: 1746
Location: India
Re: In a mayoral election, Candidate X received 1/3 more votes t  [#permalink]

### Show Tags

17 Jul 2019, 02:32
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

In a mayoral election, Candidate X received 1/3 more votes than Candidate Y, and Candidate Y received 1/4 fewer votes than Candidate Z. If Candidate Z received 24,000 votes, how many votes did Candidate X receive?

(A) 18,000
(B) 22,000
(C) 24,000
(D) 26,000
(E) 32,000

Problem Solving
Question: 167
Category: Algebra Applied problems
Page: 84
Difficulty: 550

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!

z=24K
y=3/4*34K = 18K
x=4/3*18K = 24K

IMO C
_________________
"Success is not final; failure is not fatal: It is the courage to continue that counts."

Please provide kudos if you like my post. Kudos encourage active discussions.

My GMAT Resources: -

Efficient Learning
All you need to know about GMAT quant

Tele: +91-11-40396815
Mobile : +91-9910661622
E-mail : kinshook.chaturvedi@gmail.com
Re: In a mayoral election, Candidate X received 1/3 more votes t   [#permalink] 17 Jul 2019, 02:32
Display posts from previous: Sort by

# In a mayoral election, Candidate X received 1/3 more votes t

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

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