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14 Jun 2012, 03:17
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E
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Difficulty:
35%
(medium)
Question Stats:
69% (01:28) correct
31%
(01:19)
wrong
based on 5069
sessions
History
Date
Time
Result
Not Attempted Yet
In a survey of retailers, what percent had purchased computers for business purposes?
(1) 85 percent of the retailers surveyed who owned their own store had purchased computers for business purposes.
(2) 40 percent of the retailers surveyed owned their own store.
(1) 85 percent of the retailers surveyed who owned their own store had purchased computers for business purposes.
(2) 40 percent of the retailers surveyed owned their own store.
ID: 100817
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14 Jun 2012, 03:17
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SOLUTION
In a survey of retailers, what percent had purchased computers for business purposes?
Say there are total of 100 retailers.
(1) 85 percent of the retailers surveyed who owned their own store had purchased computers for business purposes. Clearly insufficient, since we don't know how many retailers own their store and also how many retailers who do NOT own a store had purchased computers for business purposes. Not sufficient.
(2) 40 percent of the retailers surveyed owned their own store. Clearly insufficient.
(1)+(2) From (2) we can answer the first question, we had in (1) but not the second question: we still don't know how many retailers who do NOT own a store had purchased computers for business purposes. Not sufficient.
To elaborate more consider the diagram below:
As you can see we can not find the value of X from the info provided.
Answer: E.
Retailers.png [ 8.47 KiB | Viewed 52382 times ]
In a survey of retailers, what percent had purchased computers for business purposes?
Say there are total of 100 retailers.
(1) 85 percent of the retailers surveyed who owned their own store had purchased computers for business purposes. Clearly insufficient, since we don't know how many retailers own their store and also how many retailers who do NOT own a store had purchased computers for business purposes. Not sufficient.
(2) 40 percent of the retailers surveyed owned their own store. Clearly insufficient.
(1)+(2) From (2) we can answer the first question, we had in (1) but not the second question: we still don't know how many retailers who do NOT own a store had purchased computers for business purposes. Not sufficient.
To elaborate more consider the diagram below:
As you can see we can not find the value of X from the info provided.
Answer: E.
Attachment:
Retailers.png [ 8.47 KiB | Viewed 52382 times ]
Updated on: 09 Jul 2012, 01:03
Originally posted by cyberjadugar on 14 Jun 2012, 05:41.
Last edited by cyberjadugar on 09 Jul 2012, 01:03, edited 1 time in total.
Last edited by cyberjadugar on 09 Jul 2012, 01:03, edited 1 time in total.
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Quote:
Hi,
From (1),
85% of the retailers surveyed who owned their own store had purchased computers for business purposes.
From (2)
40% of the retailers surveyed owned their own store.
Using both (1) & (2),
People who owned their own store had purchased computers for business purposes = 0.4*0.85 = 0.34
but this fraction is from those who own store. No information is given about the people who don't own the store.
Thus, Answer is (E).
It could be better explained using the diagram: (x is a variable & I think you could get the meaning of grey area,
) Attachments
Comp.jpg [ 14.62 KiB | Viewed 66946 times ]
