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 ?

Correct Answer: 2
Let total votes in village = 100
Losing candidate got votes = 30% of 100 = 30 votes
Winner's and nearer rival's votes
= 100 - $$\frac{13}{100}$$ × 100
= 70
∴ If both get equal votes then, it should be, 35
∴ Minimum difference between winner and nearer rival
= (36 - 34) = 2