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10 Feb 2015, 08:35
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
69% (02:22) correct
31%
(02:51)
wrong
based on 452
sessions
History
Date
Time
Result
Not Attempted Yet
In a certain state, the ratio of registered Republicans to registered Democrats is 3 to 2, and every registered voter is either a Republican or a Democrat. If 80 percent of the Republicans and 15 percent of the Democrats are expected to vote for Candidate X, and everyone else is expected to vote for Candidate Y, by what percent is Candidate X expected to win the election?
A. 2%
B. 5%
C. 8%
D. 10%
E. 15%
Kudos for a correct solution.
A. 2%
B. 5%
C. 8%
D. 10%
E. 15%
Kudos for a correct solution.
12 Feb 2015, 23:38
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Hi All,
This question is perfect for TESTing VALUES.
You'll notice the "percent sign" in the answer choices and the repeated usage of the word "percent" in the prompt. In these situation, using the number 100 will usually make the math pretty easy to do.
We're told that the ratio of Republicans to Democrats is 3:2
Total voters = 100
Republicans = 60
Democrats = 40
We're told that 80% of Republicans and 15% of Democrats are expected to vote for Candidate X:
80%(60) + 15%(40) = 48 + 6 = 54 voters (or 54% of the total voters) are expected to vote for Candidate X.
We're told that the rest are expected to vote for Candidate Y:
100% - 54% = 46% are expected to vote for Candidate Y.
We're asked for "what percent" Candidate X is expected to win by....
54 percent - 46 percent = 8 percent
Final Answer:
GMAT assassins aren't born, they're made,
Rich
This question is perfect for TESTing VALUES.
You'll notice the "percent sign" in the answer choices and the repeated usage of the word "percent" in the prompt. In these situation, using the number 100 will usually make the math pretty easy to do.
We're told that the ratio of Republicans to Democrats is 3:2
Total voters = 100
Republicans = 60
Democrats = 40
We're told that 80% of Republicans and 15% of Democrats are expected to vote for Candidate X:
80%(60) + 15%(40) = 48 + 6 = 54 voters (or 54% of the total voters) are expected to vote for Candidate X.
We're told that the rest are expected to vote for Candidate Y:
100% - 54% = 46% are expected to vote for Candidate Y.
We're asked for "what percent" Candidate X is expected to win by....
54 percent - 46 percent = 8 percent
Final Answer:
GMAT assassins aren't born, they're made,
Rich
10 Feb 2015, 10:16
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Bunuel
Since we were expected to find a percentage figure - It thought that it might be easier to pick a 'smart number' to represent the total number of voters (republicans and democrats). Therefore, I picked 50 (as the total number of voters) and thus 30:20 represents the number ratio of Republicans:Democrats. If 80% of Republicans (which is (30*0.8) = 24) and 15% of Democrats (20*0.15 = 3) voted for candidate X, means that out of total of 50 voters; 27 (24 + 3) voters voted for candidate X and 23 voted for candidate Y. Thus we can infer that candidate X is expected to win the election by 4 (27-23) votes. Therefore candidate X is expected to win the election by (4/50) votes which is equivalent to 8%.
I think the answer is C.
Please consider giving me kudos, if you felt this post was helpful! Thanks.
