GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 14 Oct 2019, 03:44

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# A certain grocery purchased x pounds of produce for p dollars per poun

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58313
A certain grocery purchased x pounds of produce for p dollars per poun  [#permalink]

### Show Tags

23 Jan 2018, 23:48
00:00

Difficulty:

75% (hard)

Question Stats:

43% (02:20) correct 57% (02:00) wrong based on 44 sessions

### HideShow timer Statistics

A certain grocery purchased x pounds of produce for p dollars per pound. If y pounds of the produce had to be discarded due to spoilage and the gross profit from the sale of the produce is P. Which of the following represents the price, per pound, of the produce?

A. $$\frac{P + xp}{x - y}$$

B. $$\frac{P + (x - y)p}{x - y}$$

C. $$\frac{P}{x}$$

D. $$\frac{P + xp}{x}$$

E. $$\frac{P - xp}{x - y}$$

_________________
Senior Manager
Joined: 17 Oct 2016
Posts: 314
Location: India
Concentration: Operations, Strategy
GPA: 3.73
WE: Design (Real Estate)
Re: A certain grocery purchased x pounds of produce for p dollars per poun  [#permalink]

### Show Tags

24 Jan 2018, 01:30
1
A

Gross cost price of the produce = x*p

Lets say the selling price per pound of the produce be 's'.

y pounds are discarded. So remaining quantity = x-y

They have to make a profit of 'P' by selling this 'x-y' pounds.

We know Profit=SP-CP.

P = (x-y)*s - x*p

We need 's',

s= (P-x*p)/(x-y). Option A
_________________
Help with kudos if u found the post useful. Thanks
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2817
Re: A certain grocery purchased x pounds of produce for p dollars per poun  [#permalink]

### Show Tags

26 Jan 2018, 10:38
Bunuel wrote:
A certain grocery purchased x pounds of produce for p dollars per pound. If y pounds of the produce had to be discarded due to spoilage and the gross profit from the sale of the produce is P. Which of the following represents the price, per pound, of the produce?

A. $$\frac{P + xp}{x - y}$$

B. $$\frac{P + (x - y)p}{x - y}$$

C. $$\frac{P}{x}$$

D. $$\frac{P + xp}{x}$$

E. $$\frac{P - xp}{x - y}$$

The cost is xp. We know that profit = revenue - cost.

If we let the selling price per pound = n, then the total revenue is n(x - y); thus, we have:

P = n(x - y) - xp

P + xp = n(x - y)

(P + xp)/(x - y) = n

_________________

# Jeffrey Miller

Jeff@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: A certain grocery purchased x pounds of produce for p dollars per poun   [#permalink] 26 Jan 2018, 10:38
Display posts from previous: Sort by