Question
In an election between two candidates, 16% of the total
votes were invalid. One candidate received 58% of the valid votes, and the other candidate received 19,845 valid votes. Find the total number of votes cast.Solution
ATQ, Let the total valid votes be V. Since one candidate received 58% of the valid votes, the other candidate received: 100% - 58% = 42% of the valid votes. So, 42% of V = 19,845 42/100 × V = 19,845 V = 19,845 × 100 / 42 V = 47,250 Now, 84% of the total votes were valid because 16% were invalid. Let the total votes be T. 84% of T = 47,250 84/100 × T = 47,250 T = 47,250 × 100 / 84 T = 56,250 Answer: The total number of votes cast = 56,250
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