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P is a positive integer. Cutting Edge Knife Company original [#permalink]
15 Feb 2012, 15:07

00:00

A

B

C

D

E

Difficulty:

55% (hard)

Question Stats:

61% (02:30) correct
39% (01:16) wrong based on 79 sessions

P is a positive integer. Cutting Edge Knife Company originally had (P) salespeople, each of whom sold 200 knives. Each salesperson then hired several more (P) salespeople, each of whom sold 200 knives. What is the value of P?

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

Re: P is a positive integer. Cutting Edge Knife Company original [#permalink]
15 Feb 2012, 15:25

1

This post received KUDOS

Expert's post

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P is a positive integer. Cutting Edge Knife Company originally had (P) salespeople, each of whom sold 200 knives. Each salesperson then hired several more (P) salespeople, each of whom sold 200 knives. What is the value of P?

Since each of P salespeople hired P salespeople, then there were P*P=P^2 new salespeople hired, which makes total # of salespeople equal to P+P^2. Now, as all of them sold 200 knives then total # of knives sold is 200*(P+P^2).

(1) The first P salespeople sold 1/9 of all knives sold --> 200*P=1/9*200*(P+P^2) --> 9P=P+P^2 --> P(8-P)=0 --> P=8 (since Given that P is a positive integer P=0 is not a valid solution). Sufficient.

(2) 14,400 knives were sold in total --> 200*(P+P^2)=14,000 --> P(P+1)=72 --> P=8 (since Given that P is a positive integer P=-9 is not a valid solution). Sufficient.

Re: P is a positive integer. Cutting Edge Knife Company original [#permalink]
15 Feb 2012, 17:06

My doubt here is, it says: 'Each salesperson then hired several more (P) salespeople'. So how does several mean that each of the P salesperson employs P more salespeople?

Re: P is a positive integer. Cutting Edge Knife Company original [#permalink]
15 Feb 2012, 21:51

Expert's post

arps wrote:

My doubt here is, it says: 'Each salesperson then hired several more (P) salespeople'. So how does several mean that each of the P salesperson employs P more salespeople?

I agree with you that the wording could have been better. Anyway: "each salesperson hired several more (P) salespeople" means that "each salesperson hired P salespeople". _________________

Re: P is a positive integer. Cutting Edge Knife Company original [#permalink]
15 Feb 2012, 23:25

Here the correct answer is D as both are sufficient to answer the question. To find the ans either you need the total or information about the fraction of the total which each statement provides. _________________

_________________ Giving +1 kudos is a better way of saying 'Thank You'.

Re: P is a positive integer. Cutting Edge Knife Company original [#permalink]
24 Mar 2015, 16:03

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: P is a positive integer. Cutting Edge Knife Company original [#permalink]
24 Mar 2015, 21:26

Expert's post

Hi All,

This question is a "clone" of a question from the OG13/GMAT2015 book, from the DS section (question 71, page 281) - if you'd like to see how the Official GMAT writers would post such a question.

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