IF 75% of guest at a certain banquet ordered dessert,what : GMAT Data Sufficiency (DS)
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# IF 75% of guest at a certain banquet ordered dessert,what

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IF 75% of guest at a certain banquet ordered dessert,what [#permalink]

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20 Aug 2010, 09:30
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IF 75% of guest at a certain banquet ordered dessert,what percent of guest ordered coffee?

1)60%of the guest who ordered dessert also ordered coffee.

2)90%of the guest who ordered coffee also ordered dessert.

I can able to understand 1 'st stmt but cant able to figure the 2 stmt..Solution in numbers will really help me out.

[Reveal] Spoiler:
OA-C
[Reveal] Spoiler: OA
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Re: IF 75% of guest [#permalink]

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20 Aug 2010, 11:55
Hi,

Let total guests be 1000.

# of people who ordered dessert = 750

Statement 1:

# of people who ordered coffee amongst dessert guys - 60% of 750 = 450

# of people who ordered coffee amongst the non - dessert guys - Do not know.

Hence, insufficient.

Statement 2:

90% of coffee drinkers ordered dessert. But, the 750 dessert guys could include people who did not order coffee in the first place. We have no way of knowing this split.

Hence, insufficient.

Statement 1 and 2:

If x is the # of coffee drinkers,

60% of 750 = 90% of x - We really do not want to evaluate x - As long as we realize that x can be calculable, we can conclude that both statements together are sufficient.

Hope this helps. Thanks.
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Re: IF 75% of guest [#permalink]

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20 Aug 2010, 20:20
I setup up a table, with column A coffee drinks, column B no coffee; row 1 dessert, row 2 no dessert

:::::::::::::: Coffee//No Coffee//Total
Dessert...........?...........?.............75
No Dessert......?...........?............. 25
Total..............?..........?..............100

For statement 1, if we assume there are 100 people at the banquet:
We take 60% of 75:

:::::::::::::: Coffee//No Coffee//Total
Dessert...........45...........30.............75
No Dessert......?...........?............. 25
Total..............?..........?..............100

For statement 2: You can pick any almost multiple of 10 for total coffee drinkers, and the chart would still

:::::::::::::: Coffee//No Coffee//Total
Dessert.........27/9.........?............75
No Dessert......3/1........ ?............ 25
Total............30/10.......?............100

However, if you have both info, and you know what that top left corner is, you can figure out what the bottom left no dessert is. Hope this helps, please give kudos for my really graphic intensive tables
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Re: IF 75% of guest [#permalink]

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02 Sep 2010, 23:30
raghavs wrote:
IF 75% of guest at a certain banquet ordered dessert,what percent of guest ordered coffee?

1)60%of the guest who ordered dessert also ordered coffee.

2)90%of the guest who ordered coffee also ordered dessert.

I can able to understand 1 'st stmt but cant able to figure the 2 stmt..Solution in numbers will really help me out.

[Reveal] Spoiler:
OA-C

What about the % of people who order neither coffee nor dessert? Is it right to assume that guests ordered only coffee and desert unless mentioned? IMO E as we don't know the % of guests who ordered neither.
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Re: IF 75% of guest   [#permalink] 02 Sep 2010, 23:30
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