Question
In a local election between two candidates, the winning
candidate secured 72% of the total valid votes and won the election by a margin of 1800 votes. Find the number of valid votes received by the losing candidate.Solution
ATQ,
Let the total number of valid votes cast = 100x
Then, number of valid votes received by the winning candidate = 100x × 0.72 = 72x
Number of valid votes received by the loser candidate = 100x - 72x = 28x
According to the question,
72x - 28x = 1800
Or, x = 1800 ÷ 44 = 40.91 ≈ 41 (Round if needed)
So, number of valid votes received by the loser candidate = 28 × 41 = 1148
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