In an election between two candidates, the one who gets 88% of the votes is elected by a majority of 684 votes. What is the
total number of votes polled? (all polled votes are valid)

Question

Accepted Answer

Let the total number of votes be x.

The winning candidate gets 88% of the votes, so votes received = 0.88x.  
The other candidate gets the remaining votes = 0.12x.

The majority is the difference between the two vote counts:  
Majority = 0.88x - 0.12x = 0.76x.

Given majority = 684,  
So, 0.76x = 684  
=> x = 684 / 0.76  
=> x = 900

Therefore, the total number of votes polled is 900.

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