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.
The weekly sales commission at Company X is 2 percent of the
[#permalink]
03 Jan 2020, 06:26
03 Jan 2020, 06:26
3
Expert Reply
2
Bookmarks
00:00
Question Stats:
90% (02:41) correct
9% (02:01) wrong based on 11 sessions
Hide Show timer Statistics
The weekly sales commission at Company X is 2 percent of the first $2,000 of weekly sales plus 15 percent of the weekly sales in excess of the first $2,000. The weekly sales commission at Company Y is 5 percent of the first $2,000 of weekly sales plus 10 percent of the weekly sales in excess of the first $2,000. In a given week, what is the amount of weekly sales at Company Y that would earn the same weekly sales commission as $5,000 in weekly sales at Company X?
A. $5,900
B. $5,300
C. $4,900
D. $4,800
E. $4,500
Kudos for the right answer and explanation
A. $5,900
B. $5,300
C. $4,900
D. $4,800
E. $4,500
Kudos for the right answer and explanation
Re: The weekly sales commission at Company X is 2 percent of the
[#permalink]
03 Jan 2020, 06:43
03 Jan 2020, 06:43
3
1
Bookmarks
For company X, let total sales be A.
Now, we are given that sales commission at Company X = \(\frac{2}{100} \times 2000 + \frac{15}{100} \times (A-2000)\)
For company Y, let total sales be B.
Now, we are given that sales commission at Company Y = \(\frac{5}{100} \times 2000 + \frac{10}{100} \times (B-2000)\)
We need to find the amount of weekly sales at company Y such that the commission at both the companies is equal.
We are given the value of A = 5000
Commission at company X = \(\frac{2}{100} \times 2000 + \frac{15}{100} \times (5000-2000)\)
= \(40 + 450\) = 490
Commission at company Y = \(\frac{5}{100} \times 2000 + \frac{10}{100} \times (B-2000)\)
= \(100 + 0.1 \times B - 200\) = \(0.1 \times B - 100\)
Commission at X = Commission at Y
\(490 = 0.1 \times B - 100\)
\(590 = 0.1 \times B\)
B = 5900
OA, A
Now, we are given that sales commission at Company X = \(\frac{2}{100} \times 2000 + \frac{15}{100} \times (A-2000)\)
For company Y, let total sales be B.
Now, we are given that sales commission at Company Y = \(\frac{5}{100} \times 2000 + \frac{10}{100} \times (B-2000)\)
We need to find the amount of weekly sales at company Y such that the commission at both the companies is equal.
We are given the value of A = 5000
Commission at company X = \(\frac{2}{100} \times 2000 + \frac{15}{100} \times (5000-2000)\)
= \(40 + 450\) = 490
Commission at company Y = \(\frac{5}{100} \times 2000 + \frac{10}{100} \times (B-2000)\)
= \(100 + 0.1 \times B - 200\) = \(0.1 \times B - 100\)
Commission at X = Commission at Y
\(490 = 0.1 \times B - 100\)
\(590 = 0.1 \times B\)
B = 5900
OA, A
Carcass wrote:
The weekly sales commission at Company X is 2 percent of the first $2,000 of weekly sales plus 15 percent of the weekly sales in excess of the first $2,000. The weekly sales commission at Company Y is 5 percent of the first $2,000 of weekly sales plus 10 percent of the weekly sales in excess of the first $2,000. In a given week, what is the amount of weekly sales at Company Y that would earn the same weekly sales commission as $5,000 in weekly sales at Company X?
A. $5,900
B. $5,300
C. $4,900
D. $4,800
E. $4,500
Kudos for the right answer and explanation
A. $5,900
B. $5,300
C. $4,900
D. $4,800
E. $4,500
Kudos for the right answer and explanation
Re: The weekly sales commission at Company X is 2 percent of the
[#permalink]
27 Jun 2022, 14:23
27 Jun 2022, 14:23
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
