QCS-7 Question-19

Assume the total people who are on the voters list to be "x"

Number of people who voted = x - 10% of x = 0.9 x ( Given in the question that 10% of the people on the voter's list did not vote.

Number of legal votes = 0.9x -60 ( 60 votes were declared as invalid)

Winner was supported by 47% of the people on the voting list = Number of votes won by the winner (W) = 0.47 x

Obviously, the losers votes must be = Legal votes - winner's votes

Losers votes (L) = 0.9x -60 - 0.47x = 0.43 x - 60

Winning margin is equal to the number of votes of the winner less the number of votes won by the loser

Winning margin = 308 = 0.47x -( 0.43 x - 60)

=> 308 = 0.04x +60 => 248 = 0.04x or x = 6200

But the question wants us to find out the total number of legal votes = 0.9x -60 = 0.9 (6200) -60 = 5520