Last visit was: 25 Dec 2025, 00:32 It is currently 25 Dec 2025, 00:32
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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
Your Progress

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

Practice
Pays

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

A merchant paid $300 for a shipment of x identical calculators.

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
KarunMendiratta
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3661 [16]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
A merchant paid $300 for a shipment of x identical calculators. [#permalink] New post   02 Aug 2021, 22:16
2
14
Bookmarks
00:00

Question Stats:

41% (02:52) correct 58% (03:21) wrong based on 97 sessions

Hide Show timer Statistics

A merchant paid $300 for a shipment of \(x\) identical calculators. The merchant used 2 of the calculators as demonstrators and sold each of the others for $5 more than the average (arithmetic mean) cost of the \(x\) calculators. The total revenue from the sale of the calculators was $120 more than the cost of the shipment.

Quantity A
Quantity B
Number of calculators sold in the shipment
30


A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
ShowHide Answer
Official Answer
B
User avatar
D
KarunMendiratta
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3661 [1]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
A merchant paid $300 for a shipment of x identical calculators. [#permalink] New post   03 Aug 2021, 19:58
1
Explanation:

Average of \(x\) calculators = \(\frac{300}{x}\)

Calculators sold = \(x-2\)

Revenue = \((x-2)[\frac{300}{x} + 5] = 300 + 120\)

\((x-2)(300+5x) = 420x\)
\(300x + 5x^2 - 600 - 10x = 420x\)
\(5x^2 - 130x - 600 = 0\)
\(x^2 - 26x - 120 = 0\)
\((x-30)(x+4) = 0\)
\(x = 30\)

Col. A: \(x-2 = 28\)
Col. B: \(30\)

Hence, option B
avatar
B
LuisMont17
Intern
Intern
Joined: 10 Oct 2025
Posts: 6
Own Kudos [?]: 3 [0]
Given Kudos: 34
Send PM
A merchant paid $300 for a shipment of x identical calculators. [#permalink] New post   16 Oct 2025, 03:32
The wording is confusing, it seems quantity A refers to the first shipment which would be 30.
Prep Club for GRE Bot
gmatclubot
A merchant paid $300 for a shipment of x identical calculators. [#permalink]
16 Oct 2025, 03:32
Moderators:
adewale223
GRE Instructor
135 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1141 posts
VibhuAnurag
GRE Instructor
234 posts
Nsp10
Moderator
40 posts
tyrant100
GRE Forum Moderator
126 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact