In an election between two candidates P and Q, P got 78% of the total valid votes. If the total votes of the electorate were 75,60,000, then what was the number of valid votes that Q got if 10% of the voters did not cast their vote and 15% of the votes polled were declared invalid?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 12,72,348.
Total votes of the electorate = 7,560,000
Since 10% of the voters did not cast their votes, only 90% of the electorate voted.
Votes cast = 90% of 7560000
⇒ 90/100 × 7560000
⇒ 90 × 75600 = 6804000
15% of the votes cast were declared invalid, so only 85% of the votes cast were valid.
Valid votes = 85% of 6804000
⇒ 85/100 × 6804000
⇒ 85 × 6804 = 5783400
Candidate P received 78% of the valid votes, so candidate Q received the remaining 22% of the valid votes.
Votes for Q = 22% of 5783400
⇒ 22 × 57834 = 1272348
Thus, The number of valid votes that Qgot is 1272348