# At an election there were two candidates. One of them got 62% of the valid votes and won by a majority of 7200 votes.find the total number of valid votes cast.

2
by bichchu

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by bichchu

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Let candidate 1 = x

let candidate 2 = y

% of votes won by x = 62

so % of votes won by y =100-62=38

now,

difference of votes number= difference of vote percentage

so, 7200= 62-38= 24%

now let the total no. of votes be z

so, 24/100 of 'z'= 7200

=> 24z/100= 7200

=> 24z = 7200*100 (changing side)

=> z = 7200*100/ 24

=> z = 30,000

so total no. of votes was 30,000

let candidate 2 = y

% of votes won by x = 62

so % of votes won by y =100-62=38

now,

difference of votes number= difference of vote percentage

so, 7200= 62-38= 24%

now let the total no. of votes be z

so, 24/100 of 'z'= 7200

=> 24z/100= 7200

=> 24z = 7200*100 (changing side)

=> z = 7200*100/ 24

=> z = 30,000

so total no. of votes was 30,000

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

Difference in number of votes=7200

one got= 62%

another got=100-62=38%

difference in percentage of votes= 62-38=24%

24% = 7200

100% = (7200/24)×100= 30000

so total valid votes are 30000

one got= 62%

another got=100-62=38%

difference in percentage of votes= 62-38=24%

24% = 7200

100% = (7200/24)×100= 30000

so total valid votes are 30000