In an election contested by two parties, Party D secured 12% of the total votes more than Party R. If party R got 132,000 votes, by how many votes did it lose the election?

1 Answer

Answer:

Party R lost election by #36,000# votes

Explanation:

Given: Party D won the election by 12%...
Required: How many votes did party R loose by?

Solution: Set up from what we know
1) #R + D = 100%# of the votes
2) #D = R+12%# this given
Now substitute for D in 1)
#R + R+12% = 100%#
Thus party R secured
# (100-12)/2=44%# of total votes,
but #R=132,000#
Thus the total votes cast are:
#T= 132000*100/44 =300000#

D's votes were:
#D=300,000-132,000 = 168,000#
Thus party R lost by:
#L_R = 168,000 - 132,000= 36,000#