In an election between two candidates, 75% of the voters cast their

Question

In an election between two candidates, 75% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of voters enrolled in that election.

A. 16800
B. 32019
C. 23000
D. 21413
E. 31527

A. 16800
B. 32019
C. 23000
D. 21413
E. 31527

Kurtosis · Answer

75% of valid votes = 9261
Valid votes = (9261 * 4)/3 = 3087 * 4 = 12348

(75% - 1.5% = approx. 75%) of Total voters = 12348
Total voters = (12348 * 4)/3 = 4116 * 4 = Close to 16000

Answer: A

AR15J · Answer

Total number of the enrolled voters=x

x*(0.75)*(0.98)*(0.75)=9261

x=16800

Correct answer is A

sreenu7464 · Answer

In an election between two candidates, 75% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of voters enrolled in that election.

A. 16800
B. 32019
C. 23000
D. 21413
E. 31527

As it seems 75% of the voters cast their votes I believe the ans X=(9261*100*100)/(98*75)=12600 Note - the question is total number of votes enrolled in election

If the question was total number of voters then ans X=(12600*100)/75=16800

chesstitans · Answer

hello, i want to ask a question. So, basically, the voting system work based on the US ballot system? In other word, 1 person is only able to cast one vote?

chesstitans · Answer

your answer is still unconvincing, it is because if the right answer is either C or D, there is no way to choose the answer using your method of calculation

umadurga · Answer

Assuming total voters enrolled to be 100.

For 75% valid votes.. which makes # of votes as 75..
out of which 2% is invalid .. \frac{75*2}{100}  = 1.5.. total valid votes are 75-1.5=73.5

Now for 73.5 votes 75% are valid . 
By general cross method

100 - 73.5*75%
? - 9261

=> \frac{(9261*100)}{(75 \%*73.5 )}  
=> \frac{(9261*100*100)}{(75*73.5)} 
dividing by 25(100 & 75) and 7(9261 & 73.5) and then simplifying gives 16800

generis · Answer

chesstitans , yes, in the U.S. the system is SUPPOSED to be one person, one vote.

I think there is a typo in the question. I think the question needs to ask about total voteRs, not votes. See  sreenu7464  's post.

Bunuel ?

Bunuel · Answer

______________________
Fixed the typo. Thank you.

sumi747 · Answer

My method is a bit long if there is a better method I am open to it
We are solving for X which is the total number of votes
We know 3/4*73.5/100*x=9261
So x= 16800
IMO A

Posted from my mobile device

Archit3110 · Answer

given
0.73*0.75*x = 9261
solve for x 
we get ~ 16800
IMO A

CrackverbalGMAT · Answer

Let no of valid voters = X

Total no of votes polled = 75 % of X

Total no of invalid votes = 2 % of (75 % of X)= 1.5 % of X

No of valid votes = 75 % of X - 1.5 % of X = 73.5 % of X

Its given that , 9261 = 75% of the total valid votes

9261 = 75 % of ( 73.5 % of X )

Since the answer options are wide apart, we can approximate 73.5 % as 75 % 
9261 = 75 % of ( 75 % of X )

9264 = 3/4 * 3/4 * X = 9/16 *X

We can easily conclude that X should be slightly more than 16,000.

Only one answer option is close to 16,000. So Option A would be the answer.

Thanks,
 Clifin J Francis,
GMAT SME

bumpbot · Answer

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