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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
67% (01:50) correct
33%
(01:39)
wrong
based on 318
sessions
History
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Not Attempted Yet
At a recent trade show, a survey was conducted on coffee brands. Each brand was categorized based on whether it increased its wholesale price per pound this year compared to last year. What percentage of the brands surveyed increased their wholesale price this year?
(1) Of the brands that increased their price, 25% increased it by at least $2 per pound.
(2) Of all the brands surveyed, 15% increased their price by at least $2 per pound.
I31-01
(1) Of the brands that increased their price, 25% increased it by at least $2 per pound.
(2) Of all the brands surveyed, 15% increased their price by at least $2 per pound.
I31-01
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GMAT Club Official Explanation:
At a recent trade show, a survey was conducted on coffee brands. Each brand was categorized based on whether it increased its wholesale price per pound this year compared to last year. What percentage of the brands surveyed increased their wholesale price this year?
(1) Of the brands that increased their price, 25% increased it by at least $2 per pound.
Let the number of brands that increased their price be x. Then 0.25x brands increased their prices by at least $2 per pound. This gives a relationship within the group that increased, but it does not provide any information about how many brands increased relative to the total number of brands. Not sufficient.
(2) Of all the brands surveyed, 15% increased their price by at least $2 per pound.
This says that 15% of all brands increased their price by at least $2 per pound. This provides information only about a subset of brands that increased by a certain amount. It does not give any information about brands that increased by less than $2 or about brands that did not increase their price. Not sufficient.
(1)+(2) Say there were 100 brands in total. Then from (2) we'd get that 15 brands increased their price by at least $2 per pound, while from (1) we have that 0.25x brands increased their price by at least $2 per pound. Thus, 15 = 0.25x, which gives x = 60. Therefore, 60 brands out of 100, which is 60% of the brands surveyed increased their wholesale price this year. Sufficient.
Answer: C.
General Discussion
15 Dec 2025, 09:31
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let price increaed by at least 2 represent by x brands
using 1 we get
brands who increase price = 4x
using 2 we get
total brands = (100/15) * x
using 1 and 2 we get
% of brands who increase price = 4x / (100/15)x
= 60%
using 1 we get
brands who increase price = 4x
using 2 we get
total brands = (100/15) * x
using 1 and 2 we get
% of brands who increase price = 4x / (100/15)x
= 60%
