In an election between two candidates. 20% of the registered voters did not cast their vote and 40 votes were declared invalid. The winner got 42% of the registered votes and was declared the winner by 112 votes. The number of registered voters] was:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 1800
Let the total number of voters be x.
Total votes casted = x - 20% of x = 0.8x
Total number of invalid votes = 40
Total number of registered votes = (0.8x - 40)
The winner gets 42% of registered votes.
Losser gets (80 - 42 = 38%) of the registered votes.
ATQ -
42% of (0.8x - 40) - 38% of (0.8x - 40) + 40 = 112
(33.6x - 1680)/100 - (30.4x + 1520)/100 = 72
3.2x - 160 = 7200
3.2x = 7360
x = 2300
Total number of valid votes = 0.8x - 40 = 0.8(2300) - 40 = 1840 - 40 = 1800