Question

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.

Answer 1

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

Answer 2

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