Based on votes and elections

**Problem 1:** Two persons contested an election of parliament the winning candidate secured 57% of the total votes polled and won by a majority of 42000. The total number of votes polled is?

Solution: Total votes =TV

winner=w Loser=L

w L TV

57% 43% 100%

When you find the word majority in the question use below formula

Majority = w% L% = 57% 43% =14%

14% 42000

100% ?

**Problem 2:** In an election, a candidate secured 40% of the votes but is defeated by the only other candidate by a majority of 298 votes. Find the total number of votes recorded?

Solution: W L TV

60% 40% 100%

Majority = w% L% =60%-40% =20%

20% 298

100% ?

**Problem 3:** In an election, three candidates contested. The first candidate got 40% votes and the second candidate got 30% votes. If the total number of votes polled were 36000. Find the number of votes got by the third candidate?

Solution: Total votes 100%=36000

TV 1st 2nd 3rd

100% 40% 36% 24%

100% 36000

24% ?

**Problem 4:** In a college election between two candidates 10% of votes cast are invalid. The winner got 70% of valid votes and defeats the loser by 1800 votes. How many votes were totally cast?

Solution : Total votes = 100%

Votes invalid = 10%

Remaining votes = 90%

Winning percentage = 70% of 90% =% = 63%

Loser percentage = 90%-63%=36%

36% 1800

100% ?