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16 Sep 2014, 01:16
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If 50% of a factory's workers are 30 years old or younger, what percentage of the factory workers are under 40 years old?
(1) 30% of the factory workers are older than 30 but younger than 40 years old
(2) 20% of the factory workers are 40 years old or older
(1) 30% of the factory workers are older than 30 but younger than 40 years old
(2) 20% of the factory workers are 40 years old or older
16 Sep 2014, 01:16
Kudos
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Official Solution:
If 50% of a factory's workers are 30 years old or younger, what percentage of the factory workers are under 40 years old?
(1) 30% of the factory workers are older than 30 but younger than 40 years old
Since 50% of the workers are 30 years old or younger, and 30% of the workers are older than 30 but younger than 40 years old, adding these two percentages will give us the percentage of workers who are under 40 years old. So, 50% + 30% = 80%. Statement (1) is sufficient.
(2) 20% of the factory workers are 40 years old or older
Since the percentage of workers 40 years old or older and those younger than 40 years old must add up to 100%, we can find the percentage of workers younger than 40 years old by subtracting the given percentage from 100%. So, 100% - 20% = 80%. Statement (2) is also sufficient.
Answer: D
If 50% of a factory's workers are 30 years old or younger, what percentage of the factory workers are under 40 years old?
(1) 30% of the factory workers are older than 30 but younger than 40 years old
Since 50% of the workers are 30 years old or younger, and 30% of the workers are older than 30 but younger than 40 years old, adding these two percentages will give us the percentage of workers who are under 40 years old. So, 50% + 30% = 80%. Statement (1) is sufficient.
(2) 20% of the factory workers are 40 years old or older
Since the percentage of workers 40 years old or older and those younger than 40 years old must add up to 100%, we can find the percentage of workers younger than 40 years old by subtracting the given percentage from 100%. So, 100% - 20% = 80%. Statement (2) is also sufficient.
Answer: D
15 Feb 2016, 09:05
Kudos
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Dear Bunuel /others
Just one doubt-
Second statement says 20% is atleast 40 so the rest of people can be 40 or >40 right.. or it can be <30 as well so how are we doing 100-20 percent?
Just one doubt-
Second statement says 20% is atleast 40 so the rest of people can be 40 or >40 right.. or it can be <30 as well so how are we doing 100-20 percent?
