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# Morgan Stanley is hosting an investment conference in sunny

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Director
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Morgan Stanley is hosting an investment conference in sunny [#permalink]

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26 Nov 2003, 14:12
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Morgan Stanley is hosting an investment conference in sunny Phoenix and the investors attending the conference are offered to either play tennis or golf. 90% of the attendees who know how to play tennis also know how to play golf, whereas, 18% of the attendees do not know how to play either sport and will stay in their hotel rooms and do their homework to prepare for their breakout meetings. If 30% of the conference attendees do not how to play tennis, then how many attendees know how to play golf?

1)38.0%
2)46.5%
3)66.0%
4)75.0%
5)84.5%
Manager
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26 Nov 2003, 19:22
Intern
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26 Nov 2003, 23:07
Say T is number of tennis player
G is number of golf player

Then 90% of T play golf too
T = 70% of total

=> T&G = .9 * 70% = 63%
now G (that don't play tennis) = (100-18)-70 = 12

G = (T & G) + (G & not Tennis players) = 63+12 = 95

This is a long method and took me about 4 mins to solve. Is there a shorter method to this.

Director
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27 Nov 2003, 02:57
30% of all do not know how to play tennis, so 70% know to play tennis and golf. 90% of 70% is 63%( who play both) and 7% play only tennis and 12% can play only golf. Total amount of players is 82%-7=75% know how to play golf
Director
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27 Nov 2003, 06:38
75% is Correct - you guys are good!
Director
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27 Nov 2003, 09:04
yessssss....!!!
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13 Jan 2004, 22:53
I used the following formula

Total = G + T + N - B

B - Both tennis and Glof
G - Total Golf
T - Total Tennis
N - Neither

N = 18
30% dont know how to play tennis
so T = 70
Also 90% people who play tennis play golf as well
so B = 63

100 = G + 70 + 18 - 63
G = 75
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13 Jan 2004, 23:06
On questions like these, I just draw a diagram. It is so much easier to understand IMO. I would have drawned one if only I knew how to
_________________

Best Regards,

Paul

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14 Jan 2004, 00:37
Anandnk ur formula is good. Its easy to remember and saves time too. Thanks
Director
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14 Jan 2004, 06:41
anandnk wrote:
I used the following formula

Total = G + T + N - B

B - Both tennis and Glof
G - Total Golf
T - Total Tennis
N - Neither

N = 18
30% dont know how to play tennis
so T = 70
Also 90% people who play tennis play golf as well
so B = 63

100 = G + 70 + 18 - 63
G = 75

Anandank,

This is a really old question with the answer already confirmed. Why are you responding to it now?
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14 Jan 2004, 15:10
Hmm,

I am just answering all the questions for practicing. I just thought of mentioning the formula. Many people who dont know this formula will learn it when they hit the question.
14 Jan 2004, 15:10
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