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word problem

by sud21 » Wed Jan 25, 2012 6:54 pm
Of a group of people donate for a organization, 1/4 donate less than $200, 2/3 donate from $200 to $1000, and others donate more than $1000. If the average value of the donation more than $200 is 360, what is the average value of the donations more than $1000?
1) The average value of the donations less than $200 is 180
2) The average value of the donations from $200 to $1000 is $540
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Source: — Data Sufficiency |
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by MBACenter » Thu Jan 26, 2012 3:09 am
sud21 wrote:Of a group of people donate for a organization, 1/4 donate less than $200, 2/3 donate from $200 to $1000, and others donate more than $1000. If the average value of the donation more than $200 is 360, what is the average value of the donations more than $1000?
1) The average value of the donations less than $200 is 180
2) The average value of the donations from $200 to $1000 is $540
Where are you getting these problems? It's not possible to arrive at an average of $360 for donations $200 and above if the average of the donations between $200 and $1000 is only $360, since any donations above $1000 will necessarily drag the average UP, not down.

Otherwise, statement 2 is sufficient because we know the proportions of donators in each category. So if we know the overall average and the average for one of the two parts, we can weigh the averages to figure out what the other part will be. (I won't do the calculations here, since they would show an impossible negative amount for donations above $1000).
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