Question

10% of voters did not cast their votes in an election between 2 candidates. 10% of the total votes polled were found invalid. The successful candidate got 54% of the valid votes and won by majority of 1620 votes. The number of voters enrolled on the voters' list was:

Answer 1

Let the 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 * 90/100 * 90/100 * x = 1620
x = (1620*100*100*100)/(8*90*90)

x= 25000