# 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

2015-06-18T12:16:34+05:30

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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
2015-06-18T16:28:43+05:30

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