in an election there were only two candidates A and B , B got 50% of vote that A got. had A got 200 votes less there would have been a tie. how many people cast their votes in all?
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Let number of votes secured by A be x.
Then number of votes secured by B is 50x/100 = x/2.
Given condition,
x - 200 = x/2
x - x/2 = 200
x/2 = 200
x = 400.
Therefore the total number of votes A got is 400.
Then B secured 200 votes.
So total number of votes = 400 + 200 = 600.
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