Percentage Q58

58.10% of the votes did not cast their vote in an election between two candidates. 10% of the votes polled were found invalid. The successful candidate got 54% of the valid votes and won by a majority of 1620 votes. The number of votes enrolled on the voters list was:

[A] 25000

[C] 35000

[B] 33000

[D] 40000

Answer : [A]
Explanation :

Let the total number of voters be x. Then, Votes polled = 90% of x.

Valid votes = 90% of (90% of x)

54% of [90% of (90% of x)] - 46% of [90% of (90% of x)] = 1620

8% of [90% of (90% of x)] = 1620

8 100 x 90 100 x 90 100  x x = 1620 x =  1620 x 100 x 100 x 100 8 x 90 x 90   = 25000