Question
In an election, there are only two candidates
i.e. 'A' and 'B'. Out of the total votes, 20% were invalid. 'A' received 55% of the valid votes. If the difference between the valid votes received by 'A' and 'B' is 4000, then find the total number of invalid votes.
Solution
Let the total number of votes be 100x So, number of valid votes = 100x X 0.80 = 80x Or, valid votes received by 'A' = 80x X 0.55 = 44x Or, valid votes received by 'B' = 80x X 0.45 = 36x ATQ, (44x - 36x) = 4000 Or, 8x = 4000 So, 'x' = 500 So, invalid votes = 100x X 0.20 = 20x Therefore, required number of votes = 20 x 500 = 10000
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