In an election between two candidates 10% of the voters did not vote and 150 votes were declared as invalid. The winner got 350 votes more than his opponent thus he secured 50% votes of the total voters on the voter list. Percentage votes of the defeated candidate out of the total voters on the voter list is: (correct to one decimal place)
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 32.5 Percent.
Let the total number of votes by 100 units
10% of the voters did not vote = 100 × 90/100 = 90 units
150 votes were declared invalid
Then, the valid votes are 90 units - 150
The winning candidate got 50% of the total votes and won by 350 votes
Winning candidate votes = (50/100) × 100 = 50 units
Defeated candidate votes = 50 units - 350
According to the question
⇒ 90 units - 150 = 50 units + 50 units - 350
⇒ 10 units = 350 - 150 = 200
⇒ 100 units = 2000
Loser candidate votes = 50 units - 350 = 1000 - 350 = 650
Hence, the percentage of defeated candidate votes = (650/2000) × 100 = 32.50%