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In a certain group of people, some own Ferrari, others

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In a certain group of people, some own Ferrari, others [#permalink] New post 26 Sep 2003, 02:49
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In a certain group of people, some own Ferrari, others Lamborghini, and still others both. 60% of the people own Ferrari. What percentage of the people owns Lamborghini?

(1) 60% own Ferrari, and of those 10% own Lamborghini as well.
(2) 40% own Lamborghini only.
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 [#permalink] New post 26 Sep 2003, 10:26
Answer: C
n(ForL) = n(F) + n(L) - n(F&L) ------ a
Given: n(F) = 60, assume total people =100
to find: n(L) =?
1) n(F&L)=0.1*60 = 6
Two unknown in eq a---- (note we still dont know n(ForL)...) Here i assume that there may be people who own neither F nor L.
Unsuffecient.
2) n(L) - n(F&L) = 40
Not suffecient to find n(L).

Both 1 & 2 gives n(L) = 46%

Stolyar, kindly confirm.
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 [#permalink] New post 26 Sep 2003, 11:28
A is correct, for there are no people owning neither—it is followed from the initial verbiage: some—others—still others mean a complete list of people.
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Re: DS: FERRARI [#permalink] New post 26 Sep 2003, 17:41
stolyar wrote:
In a certain group of people, some own Ferrari, others Lamborghini, and still others both. 60% of the people own Ferrari. What percentage of the people owns Lamborghini?

(1) 60% own Ferrari, and of those 10% own Lamborghini as well.
(2) 40% own Lamborghini only.


Stolyar, where'd you get this one...more like a SC than a DS :)
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 [#permalink] New post 27 Sep 2003, 00:07
I invented it. Long, long time ago I exhausted my pack of interesting questions and since then I have invented them.
  [#permalink] 27 Sep 2003, 00:07
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