#25 Percentage Question

In an election only two candidates contested 20% of the voters did not vote and 120 votes were declared as invalid. The winner got 200 votes more than his opponent  thus he secured 41% votes of the total voters on the voter list. Percentage votes of the defeated candidate out of the total votes casted is:

A) 47.5%
B) 41%
C) 38%
D) 45%

Answer: D) 45% 

Explanation:

Let there be x voters and k votes goes to loser then 

      0.8x - 120 = k + (k + 200)

         k+200 = 0.41x

          k = 1440

and  (k + 200) =1640

Therefore   = 45%