Question
upstudy study bank question image url

Lin is shopping for a couch with her dad and hears him ask the salesperson, "How much is your commission?" The salesperson says that her commission is \( 5 \frac{1}{2} \% \) of the selling price. a. How much commission will the salesperson earn by selling a couch for \( \$ 495 \) ? b. How much money will the store get from the sale of the couch?

Ask by Cook Griffiths. in the United States
Mar 12,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

a. The salesperson earns \$27.23 in commission. b. The store receives \$467.78 from the sale.

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Mind Expander

To find out how much commission the salesperson will earn on a couch sold for $495 at a commission rate of \( 5 \frac{1}{2} \% \), we first convert the mixed number to an improper fraction. \( 5 \frac{1}{2} \% \) is equivalent to \( \frac{11}{2} \% \), which converts to a decimal as follows: \[ \frac{11}{2} \% = 5.5\% = 0.055 \] Now, calculate the commission: \[ \text{Commission} = \$495 \times 0.055 = \$27.225 \] Thus, the salesperson earns approximately \$27.23. Next, to find out how much money the store gets from the sale, we simply subtract the commission from the selling price: \[ \text{Store's Earnings} = \$495 - \$27.225 = \$467.775 \] So, the store will get approximately \$467.78 from the sale of the couch.

Related Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy