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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
A merchant paid $300 for a shipment of x identical calculators.
[#permalink]
02 Aug 2021, 22:16
02 Aug 2021, 22:16
2
14
Bookmarks
00:00
Question Stats:
41% (02:53) correct
58% (03:24) wrong based on 91 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.
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
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
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
A merchant paid $300 for a shipment of x identical calculators.
[#permalink]
03 Aug 2021, 19:58
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
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
A merchant paid $300 for a shipment of x identical calculators.
[#permalink]
16 Oct 2025, 03:32
16 Oct 2025, 03:32
The wording is confusing, it seems quantity A refers to the first shipment which would be 30.
