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sales

by ketkoag » Wed Jun 10, 2009 12:45 am
P and Q cost $8 and $9.5, respectively. Sales prices are $10 and $13, respectively. If a total of 834 had been sold, whether profits are greater than $2000?
1) The number of P sold is greater than the Q sold.
2) At least 100 Q had been sold.
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Source: — Data Sufficiency |
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Re: sales

by iamcste » Wed Jun 10, 2009 1:48 am
ketkoag wrote:P and Q cost $8 and $9.5, respectively. Sales prices are $10 and $13, respectively. If a total of 834 had been sold, whether profits are greater than $2000?
1) The number of P sold is greater than the Q sold.
2) At least 100 Q had been sold.
quick look shows me E

OA?
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by ketkoag » Wed Jun 10, 2009 2:28 am
E for me too, i think OA must be wrong then..:)
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by iamcste » Wed Jun 10, 2009 3:10 am
ketkoag wrote:E for me too, i think OA must be wrong then..:)
could be we both doing the same mistake...we will wait untill our colleagues come up with more solutions
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by SanjeevK » Wed Jun 10, 2009 3:33 am
IMO E
The profit for P is $2 and profit for Q is $3.5
a: P sold > Q sold. Let P = 833 and Q = 1. Total profit = 833x2 + 3.5 = 1669.5 . This is less than 2000
Let P = 418 and Q = 416. Total profit = 418x2 + 3.5x416 = 2292 > 2000.
Hence insufficient

b: Let Q = 100 (minimum Q) and P = 734. Total profit = 1468+ 350 = 1818 < 2000.
Let P = 418 and Q = 416. Total profit = 418x2 + 3.5x416 = 2292 > 2000. Insufficient

Combining both a and b also doesn't give unique solution.
What is OA?
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