Cutting Edge Knives

[gmatassistance]

Cutting Edge Knife Co. hired P salespeople, each of whom sold 200 knives. Each Salesperson then hired P more salespeople, each of whom also sold 200 knives each. What is the value of P?
i. the first P salespeople sold 1/9 of all the knives sold.
ii. 14,400 knives were sold

Please provide detailed explanation - thanks!

[dtweah]

Cutting Edge Knife Co. hired P salespeople, each of whom sold 200 knives. Each Salesperson then hired P more salespeople, each of whom also sold 200 knives each. What is the value of P?
i. the first P salespeople sold 1/9 of all the knives sold.
ii. 14,400 knives were sold

Please provide detailed explanation - thanks!

1) Suff

200p/(200p^2+200p)=1/9


2 Suff.
200p^2+200p=14400

Choose D

[heshamelaziry]

Cutting Edge Knife Co. hired P salespeople, each of whom sold 200 knives. Each Salesperson then hired P more salespeople, each of whom also sold 200 knives each. What is the value of P?
i. the first P salespeople sold 1/9 of all the knives sold.
ii. 14,400 knives were sold

Please provide detailed explanation - thanks!

1) Suff

200p/(200p^2+200p)=1/9


2 Suff.
200p^2+200p=14400

Choose D

Could you explain how you reached the solutions ? For example, what is P^2 ?

[woo]

we know from condition 2 that

200p^2+200p-14400=0
p^2+p-72=0
(p-8)(p+9)=0
Therefore, p=8,-9
but p cannot be negative
thus, p=8 hence sufficient