Question
In a local body election, 10% of the total votes were invalid. Candidate 'M' received 52% of the valid votes. If the other candidate 'N' got 21,120 valid votes, then determine the total number of votes cast.
Solution
ATQ,
Let the total number of votes be '100n'
Number of valid votes = 0.90 Γ 100n = '90n'
Number of valid votes received by 'N' = 0.48 Γ 90n = '43.2n'
So, 43.2n = 21,120
Or, 'n' = 489
Therefore, total number of votes = 489 Γ 100 = 48,900
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