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In an election between...Help required.

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Joined: 20 Oct 2010
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In an election between...Help required. [#permalink] New post 26 Oct 2010, 06:20
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In an election between two candidates, 75% of the voters cast thier thier 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 votes enrolled in that election.

1.16800
2.32019
3.23000
4.21413
5.31527
Manager
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Re: In an election between...Help required. [#permalink] New post 26 Oct 2010, 06:33
75% votes and 2% invalid.
Hence valid votes = 73.5% (2% of 75 % is 1.5%) >>> x

now 75% of x = 9261
So x = 9261*4/3 = 12348

So 73.5% of total votes = 12348
hence total votes = 16732 (apprx) . So should be option 1
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Re: In an election between...Help required. [#permalink] New post 26 Oct 2010, 06:37
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Let the number of votes enrolled be x. Then ,
Number of votes cast =75% of x. Valid votes = 98% of (75% of x).
75% of (98% of (75%of x)) =9261.
[(75/100)*(98/100)*(75/100)*x] =9261.
X = [(9261*100*100*100)/(75*98*75)] =16800


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Re: In an election between...Help required. [#permalink] New post 27 Oct 2010, 03:59
sreejas wrote:
In an election between two candidates, 75% of the voters cast thier thier 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 votes enrolled in that election.

1.16800
2.32019
3.23000
4.21413
5.31527



1st statement :
75% of the voters cast thier thier votes, out of which
2% of the votes were declared invalid..... So if i have 100 votes 75 ppl casted vote and 2 votes invalid... so total valid votes = 73 for 100 votes

now lets look at the 2nd statement:

A candidate got 9261 votes which were 75% of the
total valid votes.

9261 = 75% * X ( X is total valid votes )

now x = 9261*4/3 = 12348

from 1st statement, for 100 total votes 73 are valid
from 2nd statement, for t total votes 12348 are valid

so total valid votes = 12348*100/73 = 16915

So the ans is : 1
Re: In an election between...Help required.   [#permalink] 27 Oct 2010, 03:59
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