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The town of Malmo, Sweden has only two late-night food

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The town of Malmo, Sweden has only two late-night food [#permalink] New post 10 Jan 2013, 17:59
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Question Stats:

63% (03:22) correct 36% (02:39) wrong based on 79 sessions
The town of Malmo, Sweden has only two late-night food options: Pizza and Kebab. All sellers of late-night food have either a street permit or a permanent store permit. 60% of all the late-night food sellers in Malmo are street vendors that serve Kebab; 20% of all the late-night food sellers who have a permanent store serve Pizza. If Malmo’s ratio of total street permits to total permanent store permits is exactly 7 to 3, what percentage of all late-night food sellers in Malmo serve pizza?



(A) 10%

(B) 16%

(C) 24%

(D) 30%

(E) 70%
[Reveal] Spoiler: OA

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Re: The town of Malmo, Sweden has only two late-night food [#permalink] New post 10 Jan 2013, 19:54
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Malmo Stores.jpg
Malmo Stores.jpg [ 45.35 KiB | Viewed 1279 times ]


Given that, Ratio of street permits to total permanent store permits = 7 : 3
Assume total number of stores = 100

Street stores = 70
Permanent stores = 30
Street stores that serve kebab = 60 (60% of all stores)
Permanent stores that serve pizza = 6 (20% of 30 permanent stores)

Put this data into statistics table (as shown in above image), calculate and arrive at the answer "16% of stores serve pizza"

Hence choice(B) is the answer.
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Re: The town of Malmo, Sweden has only two late-night food [#permalink] New post 11 Jan 2013, 03:02
Expert's post
PraPon wrote:
Attachment:
Malmo Stores.jpg


Given that, Ratio of street permits to total permanent store permits = 7 : 3
Assume total number of stores = 100

Street stores = 70
Permanent stores = 30
Street stores that serve kebab = 60 (60% of all stores)
Permanent stores that serve pizza = 6 (20% of 30 permanent stores)

Put this data into statistics table (as shown in above image), calculate and arrive at the answer "16% of stores serve pizza"

Hence choice(B) is the answer.





Crap :( OS are one of my must topic.............and why I did Pizza - permanent and street. Kebab - permanent an street.............. :wall: the rest was understood by me


Thanks ;) +1 kudos
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Re: The town of Malmo, Sweden has only two late-night food [#permalink] New post 13 Jan 2013, 12:26
Excellent explanation by PlaPon.
I want to add my 10 cents:
1. In these type of questions we have to assume that Total number is 100. we really do not need to fight with %
2. This particular question asks us to make an assumption second time when it says street/permanent=7/3. It is clear for us that it is 70/30.
3. Now it is an easy 550 level question!
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Re: The town of Malmo, Sweden has only two late-night food [#permalink] New post 13 Jan 2013, 23:06
It seems to me that the problem statement is somewhat unclear. It is still possible that some of the late-night street vendors serve both pizza and kebab.

Thus, the answer is between 16% and 76%.
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Re: The town of Malmo, Sweden has only two late-night food [#permalink] New post 14 Jan 2013, 00:31
Expert's post
carcass wrote:
The town of Malmo, Sweden has only two late-night food options: Pizza and Kebab. All sellers of late-night food have either a street permit or a permanent store permit. 60% of all the late-night food sellers in Malmo are street vendors that serve Kebab; 20% of all the late-night food sellers who have a permanent store serve Pizza. If Malmo’s ratio of total street permits to total permanent store permits is exactly 7 to 3, what percentage of all late-night food sellers in Malmo serve pizza?



(A) 10%

(B) 16%

(C) 24%

(D) 30%

(E) 70%


In my mind, the grain of doubt is minuscule, if at all. It is the way the question is written.
Sure, in sets, 60% vendors serve kebabs implies that the other 40% do not serve kebabs. It doesn't imply that only 40% serve pizzas. It is certainly possible that some or all of those 60% serve pizzas too. So the % that serves pizza could be higher. But two things weigh in favor of the intended interpretation.

1. 'that serve kebab' qualifies 'street vendors'. We will say that '60% are street vendors that serve kebab' only if we mean '60% are street vendors that serve only kebab and no other street vendor serves kebab'. If some of those 60% serve pizza too, we must say '60% are street vendors that serve at least kebab'. Of course, to remove all doubts, a better idea would have been to write it clearly.

2. It is a PS question so the intended meaning is quite obvious.
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Re: The town of Malmo, Sweden has only two late-night food   [#permalink] 14 Jan 2013, 00:31
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