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Difficulty:
45%
(medium)
Question Stats:
67% (01:46) correct
33%
(01:53)
wrong
based on 456
sessions
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During a certain year, what fraction of the 32 million union members paid 80 percent or less of their annual union dues?
(1) During this certain year, 37.5 percent of all 32 million union members left 19 percent or less of their annual union dues unpaid.
(2) The ratio of the number of union members who paid 80 percent or less of their annual union dues to the numbers of members who paid more than 80 percent of their union dues in this certain year is 3:5.
(1) During this certain year, 37.5 percent of all 32 million union members left 19 percent or less of their annual union dues unpaid.
(2) The ratio of the number of union members who paid 80 percent or less of their annual union dues to the numbers of members who paid more than 80 percent of their union dues in this certain year is 3:5.
07 May 2014, 01:59
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During a certain year, what fraction of the 32 million union members paid 80 percent or less of their annual union dues?
(1) During this certain year, 37.5 percent of all 32 million union members left 19 percent or less of their annual union dues unpaid. This implies that 37.5% of members paid 81% or more, which means that 62.5% of members paid less than 81%. We need percentage of members who paid less than 80%. Not sufficient.
(2) The ratio of the number of union members who paid 80 percent or less of their annual union dues to the numbers of members who paid more than 80 percent of their union dues in this certain year is 3:5 --> (# of members who paid 80% or less)/(# of members who paid more than 80%) = 3/5 --> (# of members who paid 80% or less)/(total) = 3/8. Sufficient.
Answer: B.
Hope it's clear.
P.S. Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention to rules 3. Thank you.
(1) During this certain year, 37.5 percent of all 32 million union members left 19 percent or less of their annual union dues unpaid. This implies that 37.5% of members paid 81% or more, which means that 62.5% of members paid less than 81%. We need percentage of members who paid less than 80%. Not sufficient.
(2) The ratio of the number of union members who paid 80 percent or less of their annual union dues to the numbers of members who paid more than 80 percent of their union dues in this certain year is 3:5 --> (# of members who paid 80% or less)/(# of members who paid more than 80%) = 3/5 --> (# of members who paid 80% or less)/(total) = 3/8. Sufficient.
Answer: B.
Hope it's clear.
P.S. Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention to rules 3. Thank you.
07 May 2014, 02:15
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Thanks Bunuel for your solution.
One thing I want to clarify -
Per statement 1, we figured out that 62.5% paid less than 81%.
Now, Is this statement not sufficient because few of 62.5% might have paid a little above 80% ?
And yes sir, I will take care of the post rule
One thing I want to clarify -
Per statement 1, we figured out that 62.5% paid less than 81%.
Now, Is this statement not sufficient because few of 62.5% might have paid a little above 80% ?
And yes sir, I will take care of the post rule
