by: WA
22 mins
Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Sep 1507:00 PM EDT
-09:00 PM EST
Elite scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Tues/Thurs Sept. 15, 2026 - Nov. 15, 2027, 7:00pm-9:00pm EST
Sep 2107:00 PM EDT
-10:00 PM EDT
Boost your GMAT score in less than one month in a live online class + 6 months access to TTP OnDemand video courses included!
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
69% (02:08) correct
31%
(02:43)
wrong
based on 267
sessions
History
Date
Time
Result
Not Attempted Yet
In an election between two candidates, the winner has a margin of 10% of the votes polled. If 1500 people change their mind and vote for the loser, the loser would have won by a margin of 10% of the votes polled. Find the total number of votes polled in the election?
A. 30,000
B. 15,450
C. 45,000
D. 60,000
E. 15,000
A. 30,000
B. 15,450
C. 45,000
D. 60,000
E. 15,000
b2bt
Total # of votes cast = 100x, out of these, let the # of votes won by the winner = w, and for the loser(l) = 100x-w. Given that w-(100x-w) = 10% of total votes cast = 10x
Thus, 2w-100x = 10x \(\to\) w = 55x and l = 100x-55x = 45x.
According to the new condition, if the loser had won 45x+1500 votes, then , (45x+1500)-(55x-1500) = 10 % of total votes cast = 10x
Thus, 3000 = 20x and 100x = 15000.
E.
_________________
General Discussion
b2bt
Winner - Looser
55% - 45%
If 1500 people change their mind and vote for the loser:
Winner - Looser
45% - 55%
Thus 1,500 people compose 10% of all voters, which means that the total number of votes is 15,000.
Answer: E.
_________________
New to the GMAT Club?
- • Questions: Question Bank | Bunuel's Signature Collection
• Tests: GMAT Club Tests | Forum Quiz
• Guides: Quantitative | Critical Reasoning | Reading Comprehension | Ultimate Quant Guide | All You Need for Quant
• Rules: Quantitative | Verbal
Posts: 46
Condition 1 : W-L=0.1V
Condition 2: L+1500-(W-1500) = 0.1V
So, V=15000
Hence, E
Condition 2: L+1500-(W-1500) = 0.1V
So, V=15000
Hence, E
Bunuel
Hi Bunuel, How are we concluding 55-45 here?
I took it as 60-40 and messed up but however got the answer right.
I want to know how "logically" we can conclude it (55-45)
mau5 method is too alegbric for me
b2bt
The winner has a margin of 10% of the votes polled --> x+(x+10)=100 --> x=45 and x+10=55.
_________________
New to the GMAT Club?
- • Questions: Question Bank | Bunuel's Signature Collection
• Tests: GMAT Club Tests | Forum Quiz
• Guides: Quantitative | Critical Reasoning | Reading Comprehension | Ultimate Quant Guide | All You Need for Quant
• Rules: Quantitative | Verbal
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Last visit: 17 Dec 2025
Posts: 5,878
Status:QA & VA Forum Moderator
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Posts: 5,878
b2bt
Attachment:
Voters.PNG [ 3.03 KiB | Viewed 10830 times ]
So, 10--------->1500
Or, 100-------->15000
Hence correct answer will be (E)
_________________
In an election between two candidates, the winner has a margin of 10% of the votes polled. If 1500 people change their mind and vote for the loser, the loser would have won by a margin of 10% of the votes polled. Find the total number of votes polled in the election?
Let the total no. of votes be 2x
In Case 1:-
The winner got 110% of (2x/2) = 1.1x
Therefore loser get 2x-1.1x=0.9x
In Case 2:-
0.9x + 1500 = 1.1x
=>0.2x = 1500
=> x =7500
The no. of votes =2x=2*7500=15000
Hence E
Let the total no. of votes be 2x
In Case 1:-
The winner got 110% of (2x/2) = 1.1x
Therefore loser get 2x-1.1x=0.9x
In Case 2:-
0.9x + 1500 = 1.1x
=>0.2x = 1500
=> x =7500
The no. of votes =2x=2*7500=15000
Hence E
pratiksha1998
Joined: 11 Aug 2021
Last visit: 09 Jul 2026
Posts: 93
Location: India
Concentration: General Management, Strategy
Schools: Goizueta '25
GMAT 1: 600 Q47 V27
I had a doubt here, can we assume that if the looser got X votes then the winner got 1.1X votes? This means that the winner got 10% more votes than the looser, does this mean the same thing as margin?
pratiksha1998
Saying "the winner has a margin of 10% of the votes polled" means:
Winner votes - Loser votes = 10% of total votes, not that Winner = 1.1 * Loser.
_________________
New to the GMAT Club?
- • Questions: Question Bank | Bunuel's Signature Collection
• Tests: GMAT Club Tests | Forum Quiz
• Guides: Quantitative | Critical Reasoning | Reading Comprehension | Ultimate Quant Guide | All You Need for Quant
• Rules: Quantitative | Verbal
Moderator:
Announcements
Monday, Sep 14, 2026
11:30am NY / 3:30pm London / 9pm Mumbai
Subscribe to GMAT Club for New Podcast Episodes, Debriefs, & Insightful Sessions on GMAT Preparation
Tuck at Dartmouth
AI at Dartmouth Tuck: How the School Is Preparing Leaders for the Age of Artificial Intelligence
Inside the courses, research, and hands-on learning defining wise, decisive leadership in an AI-driven world.
Read More
Inside the courses, research, and hands-on learning defining wise, decisive leadership in an AI-driven world.
Read More
Top 5 GMAT Debrief Videos
Success stories and strategies from high-scoring candidates.