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 ?

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