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?

Answer 1

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.