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In an election several candidates contested for a constituency. In any constituency, the winning candidate was the one who polled the highest number of votes, the first runner up was the one who polled the second highest number of votes, the second runner up was the one who polled the third highest number of votes, and so on. There were no ties (in terms of number of votes polled by the candidates) in any of the constituencies in this election.
In an electoral system, a security deposit is the sum of money that a candidate is required to pay to the election commission before he or she is permitted to contest. Only the defeated candidates (i.e., one who is not the winning candidate) who fail to secure more than one sixth of the valid votes polled in the constituency, lose their security deposits.
The following table provides some incomplete information about votes polled in four constituencies: A, B, C and D, in this election.
|No. of candidates contesting||10||12||5||8|
|Total No. of valid votes polled||5,00,000||3,25,000||6,00,030|
|No. of votes polled by the winning candidate||2,75,000||48,750|
|No. of votes polled by the first runner up||95,000||37,500|
|No. of votes polled by the second runner up||30,000|
|% of valid votes polled by the third runner up||10%|
Question 18 : For all the four constituencies taken together, what was the approximate number of votes polled by all the candidates who lost their security deposit expressed as a percentage of the total valid votes from these four constituencies?
Just calc using available data
For A: Votes that count towards a deposit loss=> 500,000 - (275,000 - 95,000 - 85,000) = 45,000
For B: All except the winner lost, i.e. =>325,000 - 48,750 = 276,250
For C: Noone lost
For D: 35% of the total i.e. 35% of 175,000 => 61,250
Answer: (45,000 + 276,250 + 61,250) / (500,000 + 325,000 + 600,003 + 175,000)
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