Question
In an election involving two parties, 16% of the total
votes were invalid. One of the candidates received 58% of the valid votes, and the other got 19,008 valid votes. Find out how many total votes were cast.Solution
ATQ,
Let the total number of votes be 100n
Valid votes = 0.84 × 100n = 84n
Votes received by the other candidate = 0.42 × 84n = 35.28n
So, 35.28n = 19,008
⇒ n = 539
Therefore, total number of votes = 539 × 100 = 53,900
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