In an election there were only two candidates. 20% of the voters did not cast their votes and 1000 votes were declared invalid. The winner, by obtaining 70% of the total valid votes, defeated his rival by 1200 votes. The total number of voters in the election was ________.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 5000.
Let total voters = x
80% voted = 0.8x
Invalid votes = 1000
Valid votes = 0.8x − 1000
Winner got 70%, loser 30% , Difference = 40% of valid votes
0.4 (0.8x − 1000) = 1200
0.32x − 400 = 1200
0.32x = 1600
x = 5000