Multiple choice

In an election a person secures 70% of the votes and defeats his rival by 200 votes. How many votes should a person get to have simple majority ?

  1. 251

  2. 140

  3. 340

  4. 310

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

If winner gets 70% and wins by 200 votes: Winner - Loser = 200. Let total votes = T. Then 0.7T - 0.3T = 200, so 0.4T = 200, T = 500. Simple majority = 50% + 1 vote = 251 votes. (70% of 500 = 350 votes, 30% = 150 votes, difference = 200)