In an election contested between A and B, A obtained votes equal to twice the no. of persons on the electoral roll who did not cast their votes & this later number was equal to twice his majority over B. If there were 18000 persons on the electoral roll. How many voted for B.
Ans: Let x and y be the no. of votes for A & B respecatively.
APQ:
The no. of persons who did not vote = (18000 - x - y)
x = 2(18000 - x - y)
=> 3x + 2y = 36000 ---------------(1)
&
(18000 - x - y) = (2) (x - y)
=> 3x - y = 18000 ----------------(2)
On solving we get, y = 6000 and x = 8000
Vote for B = 6000