In a village, three people contested for the post of Village Pradhan. Due to their own interest, all the voters voted and no one vote was invalid. The losing candidate got 30% votes. What could be the minimum absolute margin of votes by which the winning candidate led by the nearest rival, if each candidate got an integral percent of votes ?
In a village, three people contested for the post of Village Pradhan. Due to their own interest, all the voters voted and no one vote was invalid. The losing candidate got 30% votes. What could be the minimum absolute margin of votes by which the winning candidate led by the nearest rival, if each candidate got an integral percent of votes ?
1). 4
2). 2
3). 1
4). 3
2 answers
Let total number of voters in the village = 100
No. of votes received by losing candidate = $\frac{30}{100} \times 100 = 30$
No. of votes received by remaining candidate = 100 - 30 = 70
Since, the winner will get more votes than the loser => Winner will get more than 35 votes out of the 70.
For the margin of votes to be minimum, votes received by winner = 36
and votes received by loser = 34
$\therefore$ Absolute margin of votes = 36 - 34 = 2
Let total number of voters in the village = 100
No. of votes received by losing candidate = $\frac{30}{100} \times 100 = 30$
No. of votes received by remaining candidate = 100 - 30 = 70
Since, the winner will get more votes than the loser => Winner will get more than 35 votes out of the 70.
For the margin of votes to be minimum, votes received by winner = 36
and votes received by loser = 34
$\therefore$ Absolute margin of votes = 36 - 34 = 2