In an election between two candidates A and B, A got 33% of total votes cast and still lost by 55,522 votes. Find the total number of votes got by B.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 1,09,411.
Let the total number of votes be T.
Candidate A got 33% of the total votes:
A′s votes = 0.33T
B′s votes = A′s votes + 55,522 = 0.33T + 55,522
B′s votes = 0.67T
So
⇒ 0.67T = 0.33T + 55,522
⇒ 0.34T = 55,522
⇒ T = = 163300
The total number of votes B received = 0.67 × 163,300 = 109,411