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01 Dec 2015, 04:42
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
74% (02:39) correct
26%
(02:18)
wrong
based on 462
sessions
History
Date
Time
Result
Not Attempted Yet
In an election, 68% of the voters exercised their franchise. Of these, 48% were women. The number of males exercising their franchise was 53,040. How many eligible voters were there in all?
(A) 102,000
(B) 150,000
(C) 234,000
(D) 252,000
(E) 288,000
(A) 102,000
(B) 150,000
(C) 234,000
(D) 252,000
(E) 288,000
01 Dec 2015, 11:21
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Bunuel
Always scan the answer choices BEFORE performing any calculations.
Here the answer choices are reasonably spread apart, so we can save some time by ESTIMATING (for more on this see our free video - https://www.gmatprepnow.com/module/gener ... video/1111)
48% of ACTUAL voters were women (so about HALF of the voters we FEMALE and HALF were MALE.
The number of MALE voters was 53,040
So, there were approximately 55,000 MALE voters and 55,000 FEMALE voters, for a TOTAL of 110,000 actual voters
68% of the eligible voters actually went out and vote.
In other words, the 111,000 actual voters represent 68% of all eligible voters
NOTE: if it had been the case that 50 PERCENT of the eligible voters actually voted, then the TOTAL number of eligible voters would be 220,000
Since the actual percent is 68%, the correct answer must be LESS THAN 220,000
This leaves A or B
Of course, the TOTAL number of eligible voters CAN'T BE LESS THAN 110,000, so the correct answer must be B.
Cheers,
Brent
General Discussion
01 Dec 2015, 05:28
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Let total number of eligible voters= x
Number of people who voted = (68/100)*x
Percentage of women of people who voted = 48 %
Therfore Percentage of men of people who voted = 52 %
(52/100)*(68/100)*x = 53040
=> (13/25)*(17/25)*x = 53040
=> x = 1,50,000
Answer B
Alternatively , we can estimation here as 68 percent of people voted , and 52 % of the those voters were males .
So , approximately a little more than 34 percent of the total eligible people who voted were male . That is 53040 is approx a little more than one third the total number of voters.
Therefore , total number of voters can be estimated to be 1,50,000 .
Number of people who voted = (68/100)*x
Percentage of women of people who voted = 48 %
Therfore Percentage of men of people who voted = 52 %
(52/100)*(68/100)*x = 53040
=> (13/25)*(17/25)*x = 53040
=> x = 1,50,000
Answer B
Alternatively , we can estimation here as 68 percent of people voted , and 52 % of the those voters were males .
So , approximately a little more than 34 percent of the total eligible people who voted were male . That is 53040 is approx a little more than one third the total number of voters.
Therefore , total number of voters can be estimated to be 1,50,000 .
