In an election between two candidates, 10% of the total votes polled were declared invalid. The winning candidate secured 60% of the total valid votes and won by a margin of 3600 votes. What was the total number of votes polled ?
20000
Let the total votes polled be V. Valid votes = \( 0.9V \).
Winner gets 60% and loser gets 40% of valid votes, so margin = \( (60\% - 40\%) \times 0.9V = 0.2 \times 0.9V = 0.18V \).
\( 0.18V = 3600 \Rightarrow V = \frac{3600}{0.18} = 20000 \).
Check: valid = 18000, winner = 10800, loser = 7200, margin = 10800 - 7200 = 3600.
Hence, 20000.
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