Question
In an election between two candidates X and Y, 12% of
all votes were declared invalid. Candidate X secured 60% of the valid votes. If candidate Y got 17,136 valid votes, find the total number of votes cast.Solution
ATQ,
Let the total number of votes be 100n
Valid votes = 0.88 × 100n = 88n
Valid votes received by Y = 0.40 × 88n = 35.2n
So, 35.2n = 17,136
⇒ n = 487
Therefore, total number of votes = 487 × 100 = 48,700
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