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

 It is currently 22 Jan 2019, 10:56

### 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

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### The winners of the GMAT game show

January 22, 2019

January 22, 2019

10:00 PM PST

11:00 PM PST

In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.
• ### Key Strategies to Master GMAT SC

January 26, 2019

January 26, 2019

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

# A grocery purchased x pounds of tomatoes for p dollars per pound. If y

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52389
A grocery purchased x pounds of tomatoes for p dollars per pound. If y  [#permalink]

### Show Tags

07 Jan 2018, 22:22
00:00

Difficulty:

45% (medium)

Question Stats:

67% (02:29) correct 33% (03:37) wrong based on 29 sessions

### HideShow timer Statistics

A grocery purchased x pounds of tomatoes for p dollars per pound. If y pounds were initially discarded due to spoilage and later z percent of the remaining amount was also discarded while the rest was sold for s dollars per pound, which of the following represents the gross profit on the sale of the tomatoes?

A. $$(x - y - \frac{xz}{100})s -xp$$

B. $$(x - 100zx - y)s - xp$$

C. $$\frac{1}{100}(x - y - 100z)s -xp$$

D. $$(1 - \frac{z}{100})(x - y)s - xp$$

E. $$\frac{1}{100}(x - yz -xz)(s - p)$$

_________________
DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1434
Location: India
Re: A grocery purchased x pounds of tomatoes for p dollars per pound. If y  [#permalink]

### Show Tags

07 Jan 2018, 22:52
Bunuel wrote:
A grocery purchased x pounds of tomatoes for p dollars per pound. If y pounds were initially discarded due to spoilage and later z percent of the remaining amount was also discarded while the rest was sold for s dollars per pound, which of the following represents the gross profit on the sale of the tomatoes?

A. $$(x - y - \frac{xz}{100})s -xp$$

B. $$(x - 100zx - y)s - xp$$

C. $$\frac{1}{100}(x - y - 100z)s -xp$$

D. $$(1 - \frac{z}{100})(x - y)s - xp$$

E. $$\frac{1}{100}(x - yz -xz)(s - p)$$

Cost of tomatoes = x*p

Pounds left after discarding first time = x-y, now out of these z percent discarded again. Or the amount discarded out of x-y = z/100 * (x-y)

So amount finally left after discarding = (1 - z/100)*(x-y).
This is sold for s dollars per pound, so the Selling Price = (1 - z/100)*(x-y)*s

So Gross Profit = Selling price - Cost price = (1 - z/100)*(x-y)*s - x*p

Re: A grocery purchased x pounds of tomatoes for p dollars per pound. If y &nbs [#permalink] 07 Jan 2018, 22:52
Display posts from previous: Sort by