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# Cutting Edge Knife Company enlisted P people to sell 200

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Joined: 04 Jan 2008
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Cutting Edge Knife Company enlisted P people to sell 200 [#permalink]  05 Sep 2008, 20:54
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Cutting Edge Knife Company enlisted P people to sell 200 knives each, and each salesperson then enlisted P more people to sell 200 knives each. If everyone sold all of his or her 200 knives, what is the value of P ?

(1) The first P salesperson sold 1/9 of all the knives sold
(2) 14,400 knives were sold in total
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Re: Zumit DS 005 [#permalink]  05 Sep 2008, 21:25
dancinggeometry wrote:
Cutting Edge Knife Company enlisted P people to sell 200 knives each, and each salesperson then enlisted P more people to sell 200 knives each. If everyone sold all of his or her 200 knives, what is the value of P ?

(1) The first P salesperson sold 1/9 of all the knives sold
(2) 14,400 knives were sold in total

According to the given condition ,
p^2(200)+p(200)=T where T =total number of knives sold.

(1) p(200)=T/9 => T=1800p substitute and we get p=0,8 => p=8 is valid SUFFI
(2)here T=14400 ,we get p = 8 hence SUFFI

IMO D
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Re: Zumit DS 005   [#permalink] 05 Sep 2008, 21:25
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