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In a survey of retailers, what percent had purchased [#permalink]
14 Jun 2012, 02:17

2

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Expert's post

7

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00:00

A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

59% (02:02) correct
41% (01:09) wrong based on 450 sessions

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.

Diagnostic Test Question: 29 Page: 25 Difficulty: 650

Re: In a survey of retailers, what percent had purchased [#permalink]
14 Jun 2012, 02:17

2

This post received KUDOS

Expert's post

3

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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.

Re: In a survey of retailers, what percent had purchased [#permalink]
14 Jun 2012, 04:41

1

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Quote:

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.

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, )

Re: In a survey of retailers, what percent had purchased [#permalink]
14 Jun 2012, 06:51

1

This post received KUDOS

cyberjadugar wrote:

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, )

Dear cyberjadugar, cud u pls explain why are we considering who own stores and who do not. the question is not asking for it. it seems i am not getting an imp point.

Re: In a survey of retailers, what percent had purchased [#permalink]
14 Jun 2012, 07:06

kashishh wrote:

Dear cyberjadugar, cud u pls explain why are we considering who own stores and who do not. the question is not asking for it. it seems i am not getting an imp point.

Hi,

The question is asking what percent had purchased computers for business purposes?

and on solving we get, People who owned their own store had purchased computers for business purposes = 0.4*0.85 = 0.34 or 34%

I can't surely say that there are no more people other than those who own stores, and this is perhaps questionable!

Re: In a survey of retailers, what percent had purchased [#permalink]
16 Jun 2012, 04:03

Difficulty level: 650 only because of language

Important: Need to calculate the percentage of people who bought computers for business purpose.

Stmt 1: 85% of retailers surveyed who owned their own store had purchased computers for business purpose: There is possibility of retailers didnt owning a store still have bought computer for business purpose. Insufficient.

Stmt 2: 40% of the retailers surveyed owned their own store: This allows us to calculate the percentage of retailers who owned their own store and who didnt own their own store but we do not know how many of them purchased computers for business purpose. Insufficient.

Together: We know the percentage of retailers who owned store and also bought computer for business purpose but we can not calculate the percentage of people who didnt own store but still bought computer for business purpose. Both together insufficient.

Catch is in the last portion which makes this question difficult to answer under pressure.

Re: In a survey of retailers, what percent had purchased [#permalink]
18 Jun 2012, 08:26

sanjoo wrote:

y is it seems like it is A..

BUT i THINK m WRONG...

bunuel ...can u explain it..

Hi,

The question asks about the percent of those who had purchased computers for business purposes out of all retailers.

While, what is given in the option (A) is the subset (those who own store had purchased computers) of all the surveyed retailer and there is no info about the other retailers who do not own any store (they might have purchased computer for business purposes).

Thus, the information given in the statements is insufficient.

Re: In a survey of retailers, what percent had purchased [#permalink]
18 Jun 2012, 08:53

Here's another way of doing this:

Attachment:

Capture.JPG [ 31.58 KiB | Viewed 7086 times ]

N is the total number of survey participants including those who own their own stores and those who do not. Both statements together are insufficient because we are not given any information on how many store owners who took part in the survey and who do not own their store purchased computers. Statement 2 states that 40 percent of the retailers surveyed owned their own store; therefore logically the other 60 percent consists of retailers who do not own their own store.

I usually prefer doing overlapping sets type questions using tables a la MGMAT style. Others may find this approach helpful as well.

Re: In a survey of retailers, what percent had purchased [#permalink]
22 Jun 2012, 03:25

1

This post received KUDOS

Expert's post

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:

Attachment:

Retailers.png [ 8.47 KiB | Viewed 7503 times ]

As you can see we can not find the value of X from the info provided.

Re: In a survey of retailers, what percent had purchased [#permalink]
26 Feb 2013, 01:49

I fail because I am cheated.

not easy. cheating is the game on math.

caution.

I want to follow this posting. _________________

if anyone in this forum is living in Bradford, Leeds or nearby areas, pls, email to me, thanghnvn@gmail.com. I have a small thing to ask you. Thank you

Re: In a survey of retailers, what percent had purchased [#permalink]
23 Mar 2013, 09:43

Somehow I am not getting to the solution of this one

The question says "what percent had purchased computers for business purposes?"

=> What percent OF TOTAL purchased computer for BUSINESS PURPOSES?

As calculated by BUNUEL, the answer is 34% .

So, isn't (C) should be the answer.

Plz Advice

Rgds, TGC _________________

Rgds, TGC! _____________________________________________________________________ I Assisted You => KUDOS Please _____________________________________________________________________________

34% is % of the retailers who owned their own store and purchased computers for business purposes.

Hope it helps.

I might be wrong 100%,but still it is unclear to me

what percent had purchased computers for business purposes?

Here percent should be of TOTAL and NOT YELLOW

Plz Advice

Rgds, TGC _________________

Rgds, TGC! _____________________________________________________________________ I Assisted You => KUDOS Please _____________________________________________________________________________

Survey of Retailers [#permalink]
05 Jul 2013, 16:15

In a survey of retailers, what percent had purchased computers for business purposes? (A) 85% of the retailers surveyed who owned their own store had purchased computers for business purposes. (B) 40% of the retailers surveyed owned their own stores.

Re: Survey of Retailers [#permalink]
06 Jul 2013, 00:06

Expert's post

SmitM wrote:

In a survey of retailers, what percent had purchased computers for business purposes? (A) 85% of the retailers surveyed who owned their own store had purchased computers for business purposes. (B) 40% of the retailers surveyed owned their own stores.

Merging similar topics. Refer to the solutions above and ask if anything remains unclear.

Re: In a survey of retailers, what percent had purchased [#permalink]
17 Dec 2013, 09:46

Bunuel wrote:

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.

Diagnostic Test Question: 29 Page: 25 Difficulty: 650

Stm 1 only tells us stuff about people who own stores stm 2 tells us how many in total are of the group in stmn1

we know nothing about those who do not own their own store and the question asks for traits of the total sample. So clearly E.

In this question, why can't we derive the total of computer for biz purpose as follow:

If 40%x is number of retailers owning a store, then 60%x is number of retailers not owing a shop. Also, if 85%of 40%x is number of retailers owing a store and using computer for biz purpose, then 15%(given from 100%-85%)of 60%x is number of retailers not owing a store but using computer for biz purpose.

So 1)+2) 85/100*40/100*x+15/100*60/100*x= tot of retailers using computers for biz purpose. To me seems legit C.

Please, let me know why I'm wrong. _________________

In this question, why can't we derive the total of computer for biz purpose as follow:

If 40%x is number of retailers owning a store, then 60%x is number of retailers not owing a shop. Also, if 85%of 40%x is number of retailers owing a store and using computer for biz purpose, then 15%(given from 100%-85%)of 60%x is number of retailers not owing a store but using computer for biz purpose.

So 1)+2) 85/100*40/100*x+15/100*60/100*x= tot of retailers using computers for biz purpose. To me seems legit C.

Please, let me know why I'm wrong.

The red part should be as follows: 15% of the retailers surveyed who owned their own store had NOT purchased computers for business purposes. Please check the matrix below.

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