In an election between two candidates, 5% of the registered voters did not cast their vote. 10% of the votes were found to be either invalid or of NOTA. The winning candidates received 60% votes in his favor and won the election by 17271 votes. Find the number of registered voters.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 101000
Calculations:
Let the total number of votes be x
5% didn't cast their votes = 95% of x
Invalid votes = 10%
Total valid votes = 90% of (95% of x)
Votes of winning candidate = 60% of 90% of (95% of x)
Votes of losing candidate = 40% of 90% of (95% of x)
Now, according to the question
⇒ 60% of 90% of (95% of x) - 40% of 90% of (95% of x) = 17271
⇒ 20% of 90% of (95% of x) = 17271
⇒ 0.2 × 0.9 × .95 × x = 17271
⇒ x = 101000