In an election between two candidates, P received 42% of the valid votes and Q won by 45,360 votes. 20% people did not cast their vote. If 10% of the votes cast were found invalid, what is the total number of votes registered in the poll booth?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 3,93,750.
Let the total number of votes be 100x.
Number of votes casted = 80% of 100x
⇒ 80x
Valid votes casted = 90% of 80x
⇒ 72x
Votes recieved by Q = 58% of 72x
According to the given question,
(58% - 42%) of 72x = 45360
⇒ 11.52x = 45360
⇒ x = 3937.5
Now, total votes, 100x = 3937.5 × 100 = 393750