Percentages Part 7

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% \sim L% = 57%  \sim 43% =14%

14% \rightarrow 42000

100% \rightarrow ?

\frac{42000\times 100}{14}=300000

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% \sim L% =60%-40% =20%

20%  \rightarrow 298

100% \rightarrow ?

\frac{2989\times 100}{20}=1490

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% \rightarrow 36000

24% \rightarrow  ?

\frac{3600\times 24}{100}=8640

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% =(\frac{70}{100}\times 90)% = 63%

Loser percentage = 90%-63%=36%

36% \rightarrow 1800

100% \rightarrow ?

\frac{1800\times 100}{36}=5000

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