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Question
In an election there were two candidates. A total of 9791 votes were polled. 116 votes were declared invalid. The successful candidate got 5 votes for every 4 votes his opponent had. By what margin did the successful candidate win?
Solution
Total number of votes polled = 9791
Number of invalid votes = 116
Number of valid votes
= 9791 - 116
= 9675
Number of votes received by successful candidate
= `(5)/(9) xx 9675` = 5375....(i)
Number of votes received by successful candidate
= `(4)/(9) xx 9675` = 4300....(i)
Substracting (ii) from (i)
5375 - 4300 = 1075
Therefore, the successful candidate won by 1075 votes.
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