nandhinimouli
Answered

In an election, between 2 candidates 25% voters did not cast their votes. A candidate
scored 40% of the votes polled and was defeated by 900 votes. Find the total number
of voters.

Answer :

kvnmurty
We assume that there are no canceled or invalid votes, as that is not specified.

Let total number of voters be N.

Number of voters who did not vote = 25%

Number of votes polled = N - 25% N = N - 0.25 N = 0.75 N

Number of votes polled for losing candidate = 40 % of 0.75 N  = 0.40 * 0.75 N
                 = 0.3 N
Number of votes polled for winning candidate = 0.3 N + 900

Number of votes polled = 0.75 N = 0.3N + (.3 N  +900)

                 0.15 N = 900

             N = 6000 = total number of voters.

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