Question
In an election with only two candidates, 15% of the
eligible voters did not cast their votes. Out of the total votes cast, 105 votes were declared invalid. The winner secured 300 more votes than the opponent and obtained 45% of the total votes in the voting list. What is the approximate percentage of votes received by the losing candidate out of the total valid votes cast?Solution
Let, total number of voters eligible for voting = 100x Number of votes cast = 85x Number of valid votes = 85x – 105 Number of votes secured by winner = 0.45 × 100x = 45x Therefore, Number of votes secured by loser = 45x – 300 85x – 105 = 45x + (45x – 300) Or, x = 39 Number of votes secured by loser = 45x – 300 = 1455 Number of votes cast = 85x = 3315 Required percentage = (1455/3315) × 100 = 43.89% ~ 44%
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