BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

Problem Solving Help Please.

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 190
Joined: Thu Jan 14, 2010 8:29 pm
Thanked: 2 times
by phoenix9801 » Wed Jun 16, 2010 3:32 am
If you can explain step-by-step instruction I would greatly appreciate it. Be Simple...

I was able to come with 1 way to solve the problem but it toke more time for me and it does not seem efficient. So I was wondering if anyone might have easy way of solving and does not require much time.




Salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sale above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 1893
Joined: Sun May 30, 2010 11:48 pmFollowed by: 7 members
Thanked: 215 times

by kvcpk » Wed Jun 16, 2010 3:40 am
comp of A = 360 + .06(sales above 1000)
comp of B = .08(Total weekly sales)

let Total weekly sales=x
b= 0.08x
a=360+0.06(x-1000)

so we neeed to find x st

0.08x=360+0.06(x-1000)
0.02x=420
x=21000

what is OA?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 190
Joined: Thu Jan 14, 2010 8:29 pm
Thanked: 2 times

by phoenix9801 » Wed Jun 16, 2010 3:54 am
kvcpk wrote:comp of A = 360 + .06(sales above 1000)
comp of B = .08(Total weekly sales)

let Total weekly sales=x
b= 0.08x
a=360+0.06(x-1000)

so we neeed to find x st

0.08x=360+0.06(x-1000)
0.02x=420
x=21000

what is OA?

Are you sure it is $21,000. I solved it in a form of Algebra. Hence I came up with x = 15,000, but I was hoping anyone might have an easer way of solving it.

360 + .06 (x - 1000) = .08

360 + .06x - 60 = .08x then solve for x
300 = .02x

15000 = x


if anyone know any easer way and simple please let me know Thanks!!!!!!!!!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 1893
Joined: Sun May 30, 2010 11:48 pmFollowed by: 7 members
Thanked: 215 times

by kvcpk » Wed Jun 16, 2010 4:13 am
phoenix9801 wrote: Are you sure it is $21,000. I solved it in a form of Algebra. Hence I came up with x = 15,000, but I was hoping anyone might have an easer way of solving it.
360 + .06 (x - 1000) = .08
360 + .06x - 60 = .08x then solve for x
300 = .02x
15000 = x
if anyone know any easer way and simple please let me know Thanks!!!!!!!!!
Thanks for the correction. I messed up the subtraction again :(
0.02x = 300
x = 15000
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 1460
Joined: Tue Dec 29, 2009 1:28 amFollowed by: 7 members
Thanked: 135 times

by selango » Wed Jun 16, 2010 4:14 am
Its 15000 only.

360+.6(x-1000)=.8x

x=15000
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 46
Joined: Sun Sep 12, 2010 12:32 pmFollowed by: 1 member
Thanked: 1 times

by mgm » Sun Oct 24, 2010 11:35 am
I got confused because the question says A's total sale above $1000 and not the total weekly sales.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 126
Joined: Mon Jul 19, 2010 9:36 am
Thanked: 6 times

by kapur.arnav » Sun Oct 24, 2010 11:44 am
mgm wrote:I got confused because the question says A's total sale above $1000 and not the total weekly sales.
It says total says above 1000 for THAT WEEK....
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 126
Joined: Mon Jul 19, 2010 9:36 am
Thanked: 6 times

by kapur.arnav » Sun Oct 24, 2010 11:46 am
phoenix9801 wrote:
kvcpk wrote:comp of A = 360 + .06(sales above 1000)
comp of B = .08(Total weekly sales)

let Total weekly sales=x
b= 0.08x
a=360+0.06(x-1000)

so we neeed to find x st

0.08x=360+0.06(x-1000)
0.02x=420
x=21000

what is OA?

Are you sure it is $21,000. I solved it in a form of Algebra. Hence I came up with x = 15,000, but I was hoping anyone might have an easer way of solving it.

360 + .06 (x - 1000) = .08

360 + .06x - 60 = .08x then solve for x
300 = .02x

15000 = x


if anyone know any easer way and simple please let me know Thanks!!!!!!!!!
I think this is the best way to solve this... other way could be to deal with options... but I would prefer the former... it shouldn't take more than 1 minute to solve this using the former method...
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8137
Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members
Location: Los Angeles, CA
Thanked: 43 times

by Scott@TargetTestPrep » Tue Dec 12, 2017 9:07 am
phoenix9801 wrote:
Salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sale above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?
We are given that salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sales above $1,000 for that week.

If we let t = total sales for salesperson A, we can create the following equation:

Salesperson A's compensation = 360 + 0.06(t - 1000)

We are also given that salesperson B's compensation for any week is 8 percent of B's total sales for that week.

Since we need to determine what total sales would earn salesperson A and B the same compensation, we can also let t = the total sales for salesperson B and create the following equation:

Salesperson B's compensation = 0.08t

Let's now equate the two equations and determine t:

360 + 0.06(t - 1000) = 0.08t

360 + 0.06t - 60 = 0.08t

300 = 0.02t

30,000 = 2t

15,000 = t

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Newbie | Next Rank: 10 Posts
Posts: 1
Joined: Wed Feb 28, 2018 9:20 pm

by Shitandi » Sun Apr 15, 2018 11:46 pm
Scott@TargetTestPrep wrote:
phoenix9801 wrote:
Salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sale above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?
We are given that salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sales above $1,000 for that week.

If we let t = total sales for salesperson A, we can create the following equation:

Salesperson A's compensation = 360 + 0.06(t - 1000)

We are also given that salesperson B's compensation for any week is 8 percent of B's total sales for that week.

Since we need to determine what total sales would earn salesperson A and B the same compensation, we can also let t = the total sales for salesperson B and create the following equation:

Salesperson B's compensation = 0.08t

Let's now equate the two equations and determine t:

360 + 0.06(t - 1000) = 0.08t

360 + 0.06t - 60 = 0.08t

300 = 0.02t

30,000 = 2t

15,000 = t
Why use 't' for both and assume that A's total sales for the week are the same as B's sales for the week?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1