BTGmoderatorLU wrote:At a two-candidate election for mayor, 3/4 of the registered voters cast ballots. How many registered voters cast ballots for the winning candidate?

(1) 25000 registered voters did not cast ballots in the election.
(2) Of the registered voters who cast ballots, 55 percent cast ballots for the winning candidate.

The OA is C.

Please, can someone assist me with this DS question? Thanks in advance.

Given: 3/4 of the registered voters cast ballots

=> 1 - 3/4 = 1/4 of the registered voters who did not cast ballots

To find: Number of registered voters who cast ballots for the winning candidate

Let's take each statement one by one.

(1) 25000 registered voters did not cast ballots in the election.

=> 1/4 of the registered voters who did not cast ballots = 25000

=> Total number of registered voters = 100,000

Can't get the value of the number of registered voters who cast ballots for the winning candidate. Insufficient.

(2) Of the registered voters who cast ballots, 55 percent cast ballots for the winning candidate.

Votes to the winning candidate = 55% of 3/4 of the registered voters

We do not have the information about the number of the registered voters. Insufficient.

(1) and (2) together

Votes to the winning candidate = 55% of 3/4 of the registered voters = 55% of 3/4 of 100,000 = A unique value. Sufficient.

The correct answer: C

Hope this helps!

-Jay
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