# Percentages Part 7

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?

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% $\rightarrow$ ?

$\frac{42000\times&space;100}{14}=300000$

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% $\rightarrow$ ?

$\frac{2989\times&space;100}{20}=1490$

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?

TV                    1st                  2nd                    3rd

100%               40%                 36%                  24%

100% $\rightarrow$ 36000

24% $\rightarrow$  ?

$\frac{3600\times&space;24}{100}=8640$

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%

Winning percentage = 70% of 90% =$(\frac{70}{100}\times&space;90)$% = 63%
36% $\rightarrow$ 1800
100% $\rightarrow$ ?
$\frac{1800\times&space;100}{36}=5000$