In an election between two candidates, 15% of the voters did not cast their votes and 10% of the votes polled were found invalid. The successful candidate got 55% of the valid votes and won by a majority of 6120 votes. The number of voters enrolled on the voters list was:

80000

85% = \(\frac{17}{20}\)   &  90% = \(\frac{9}{10}\)

Let the  initial votes be 100x

( 55% - 45% ) of valid votes = 6120

10% of valid votes = 6120

Total valid votes = 6120

ATQ,

100x ×\(\frac{17}{20}\) × \(\frac{9}{10}\) × \(\frac{1}{10}\) = 6120

100x = 80000