Question
In a contest between two nominees 'X' and 'Y', 10% of all
the votes were found to be invalid. If 'X' secured 60% of the valid votes and 'Y' got 21,600 valid votes, determine the total number of votes polled.Solution
ATQ,
Let the total number of votes be '100n'
Number of valid votes = 0.90 × 100n = 90n
Number of valid votes received by 'Y' = 0.40 × 90n = 36n
So, 36n = 21,600
Or, n = 600
Therefore, total number of votes = 600 × 100 = 60,000
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