In an election, 68% of the voters exercised their franchise. Of these,

Question

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

BrentGMATPrepNow · Accepted Answer

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

Skywalker18 · Answer

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 .

Kurtosis · Answer

48% who voted were Women and 52% who voted are Men.
Since the values in the answer choices are not placed very closely, we can approximate 48% and 52% to 50% and 50% respectively.

50% of voters who voted = 53040 --> 100% of voters who voted = 53040*2 = 106080

Approximate 68% to 70%.
70% of eligible voters = 106080
100% of eligible voters = (106080*100)/70 = 151000 approx

Answer: B

Abhishek009 · Answer

Means men constituted 52%
 So, 52% is 53040

100% is (53040/52)*100 =>1,02,000
 68% = 1,02,000

100% = 1,02,000/68 => 1,50,000

Hence answer is (B)

HKD1710 · Answer

voters who exercised their franchise = v of which 48 % were women and hence 52% were men.

given - The number of males exercising their franchise was 53,040

v * (68/100) * (52/100) = 53040

v = 150,000

Option  B  is correct.

Abhishek009 · Answer

Let total no of voters be 100
68 exercised their franchise.
48% of 68 were women; so 52% pf 68 were men... That is 53,040

Or, Total No of Voters is 53040/52% of 68*100 = 150000

Hence, answer will be (B) 150000

BelalHossain046 · Answer

Approximation :
68%=almost 2/3 
48% =almost 1/2

For simplicity: 
Total number of voter = 6x ( I.e. LCM OF 2 &3 from above).
Number of people who gave vote =6x*2/3=4x.; out of this 4x people, female =4x*1/2=2x remaining 2x=male who gave vote.
Given 2x =almost 50,000
So, 6x = almost 50,000*3=150,000.
B

Posted from my mobile device

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In an election, 68% of the voters exercised their franchise. Of these,

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In an election, 68% of the voters exercised their franchise. Of these,

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