Candidate A and B participate in a election.10% is invalid vote . 'A' won by 20% more than B total voters are 10,000 .Find given vote of the B ?
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Answer:
Let the number of votes A gets =x
Then, by the given condition,
the number of votes B gets =x−308.
60 votes were invalid.
∴ The total number of votes polled =x+x−308+60=2x−248.(i)
10% of the listed population refrained from voting.
∴ (100−10)%=90% of the listed population took part in the election.
So, the total number of the listed population = (2x−248)×
90
100
=
9
20x−2480
.
47% of this population voted for A.
∴ A got
9
20x−2480
×
100
47
=x
⇒47(20x−2480)=900x
⇒40x=116560
⇒x=2914
So, the total number of votes polled =2x−248 ..(from i)
= 2×2914−248=5580
Ans- Option B.
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