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Question

In an election, 10% of the people in the voter's list did not participate 60 votes were declared invalid. There are only two candidates A and B, A defeated B by 308 votes It has found that 47% of the people listed in the voter's list voted for A. Find the total number of votes polled.

A
6200
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B
5580
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C
6000
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D
7200
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Solution

The correct option is A 5580
Let the number of votes A gets =x
Then, by the given condition,
the number of votes B gets =x308.

60 votes were invalid.
The total number of votes polled =x+x308+60=2x248........(i)

10% of the listed population refrained from voting.
(10010)%=90% of the listed population took part in the election.

So, the total number of the listed population = (2x248)×10090=20x24809.

47% of this population voted for A.

A got 20x24809×47100=x

47(20x2480)=900x
40x=116560
x=2914

So, the total number of votes polled =2x248 .....(from i)
= 2×2914248=5580
Ans- Option B.

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