To win an election, a candidate needs 60% of the votes cast. If after two-third of the votes have been counted, a candidate has 5/6 th of the counted votes, then what part of the remaining votes does he still need to win?
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1 part of of vote is remaining he still need to win
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To win an election, A candidate needs 60% of the votes cast. if after 2/3 rd of the votes have been counted, a candidate has 5/6 th of the counted votes.
To find : what part of the remaining votes does he still need to win.
solution : let there are x votes
a candidate needs votes to win = 60% of x = 3x/5
no of counted votes = 2/3 rd of x = 2x/3 votes
now a candidate has 5/6 th of the counted votes
= 5/6 × 2x/3
= 5x/9 votes.
no of remaining votes to win the election = 3x/5 - 5x/9
= (3 × 9 - 5 × 5)x/45 = 2x/45
remaining uncounted votes = x - 3x/5 = 2x/5
so, required part = (2x/45)/(2x/5) = 1/9
Therefore 1/9 th part of the remaining votes he still needs to win.
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