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06 Mar 2017, 00:06
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A
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In a country, 60% of the male citizen and 70% of the female citizen are eligible to vote. 70% of male citizens eligible to vote voted, and 60% of female citizens eligible to vote voted. What fraction of the citizens voted during the election?
(A) 0.42
(B) 0.48
(C) 0.49
(D) 0.54
(E) 0.60
(A) 0.42
(B) 0.48
(C) 0.49
(D) 0.54
(E) 0.60
06 Mar 2017, 21:48
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vikasp99
"60% of the male citizen are eligible to vote and 70% of those eligible, voted" - So 70% of 60% = 42% of total males voted
"70% of the female citizen are eligible to vote and 60% of those eligible, voted" - So 60% of 70% = 42% of total females voted
It doesn't matter how many of the total are males and how many are females. Since 42% of both voted, 42% of the citizens voted.
Answer (A)
Note that had we obtained different values for "% of total males who voted" and "% of total females who voted", we would not have been able to say the % of total citizens who voted. It would depend on what percentage of the total citizens are male/female.
To take a simple case, say
40% of total males voted
50% of total females voted
If the population has all males, 40% of the citizens voted.
If the population has all females, 50% of the citizens voted.
Depending on the proportion of males/females in the population, the percentage of citizens who voted changes.
General Discussion
06 Mar 2017, 00:23
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Let us say total men in the country is represented by 100m
Let us say total women in the country is represented by 100W
Men Eligible to vote = 60% of 100m = 60m
Women Eligible to vote 70% of 100w = 70w
Men actually voted = 70% of 60m = 42m
Women actually voted = 60% of 70w = 42w
Total men and women voted = 42m + 42w = 42(m+w)
Total population= 100m +100w = 100(m+w)
fraction of the citizens voted during the election = 42(m+w)/100(m+w) = 0.42
Answer is A
Let us say total women in the country is represented by 100W
Men Eligible to vote = 60% of 100m = 60m
Women Eligible to vote 70% of 100w = 70w
Men actually voted = 70% of 60m = 42m
Women actually voted = 60% of 70w = 42w
Total men and women voted = 42m + 42w = 42(m+w)
Total population= 100m +100w = 100(m+w)
fraction of the citizens voted during the election = 42(m+w)/100(m+w) = 0.42
Answer is A
