DeeptiM wrote:
At a two candidate election for mayor, 3/4 of the voters cast ballots. How many registered voters cast ballot for the winning candidate?
1) 25000 registered voters didnot cast ballots in the election.
2) Of the registered voters who cast ballots, 55% cast ballots for the winning candidate.
According to the question stem, 3/4th of the voters cast ballots. Let the total no of voters = x
(One thing which might be little confusing here is the use of word "registered". We might assume that voters may be of two types: registered and not registered - this assumption is not correct because common sense says that only people who are registered can vote (unless clearly stated in question otherwise). So here we will go by the common logic and assume that all the voters are registered)Now the question becomes a simpler one.
Statement 1:
from question stem we know that voters who cast ballots = 3/4x
So, voters who did not cast ballots = 1/4x = 25000 Hence x = 100,000
But this statement does not give any information about the ballots for winning candidates.
Hence
INSUFFICIENTStatement 2:
We can calculate the percentage of voters who cast for winning ballot but we can not find the absolute number. For that we need the number of registered voters.
Hence INSUFFICIENTCombining statement 1 and 2:
From statement 1, we have that the number of voters and from statement 2, we have the percentage of winning ballots. So, the numbers of registered voters who cast winning ballots = 75,000*55/100.
SUFFICIENTAnswer is C