• NEW! FREE Beat The GMAT Quizzes
Hundreds of Questions Highly Detailed Reporting Expert Explanations
• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn
100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## A salesman sold vacuum cleaners with a special 30-day... tagged by: BTGmoderatorLU ##### This topic has 1 expert reply and 0 member replies ### Top Member ## A salesman sold vacuum cleaners with a special 30-day... A salesman sold vacuum cleaners with a special 30-day, money-back guarantee. He sold a total of T vacuum cleaners at a price of D each. Q of the vacuum cleaners were returned within 30 days, and the salesman returned the money to those people. Which of the following expressions represents the money the salesman got from actual sales (people that kept their vacuum cleaners) as a percentage of the total amount of money that he made before having to make refunds? A) 100% X TD/QD B) 100% - Q/TD C) (100% - (100QD))/TD D) 100%(TD - QD)/TD E) 100%(TD - QD) The OA is D. Can any expert assist me with this PS question, please? I need help to solve it. Thanks. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Quote: A salesman sold vacuum cleaners with a special 30-day, money-back guarantee. He sold a total of T vacuum cleaners at a price of D each. Q of the vacuum cleaners were returned within 30 days, and the salesman returned the money to those people. Which of the following expressions represents the money the salesman got from actual sales (people that kept their vacuum cleaners) as a percentage of the total amount of money that he made before having to make refunds? A) 100% X TD/QD B) 100% - Q/TD C) (100% - (100QD))/TD D) 100%(TD - QD)/TD E) 100%(TD - QD) The OA is D. Hi LUANDATO, Let's take a look at your question. Total Vacuum clear sold = T Cost of each Vacuum cleaner = D Total Money made for selling T Vacuum cleaners = TD Number of Vacuum cleaners returned = Q Amount that salesman had to refund = (Number of Vacuum cleaners)(Cost of each Vacuum cleaner) = QD The amount that salesman is left with, after refunds = TD - QD We are asked to write this remaining amount as a percent of the Total money made before the refunds. Percent Amount = 100%[(Amount that salesman is left with, after refunds)/(Total Money Made)] $$=100\%\frac{\left(TD-QD\right)}{TD}$$ Therefore, Option D is correct. Hope it helps. I am available if you'd like any follow up. _________________ GMAT Prep From The Economist We offer 70+ point score improvement money back guarantee. Our average student improves 98 points. Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now. • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

Available with Beat the GMAT members only code

• 5 Day FREE Trial
Study Smarter, Not Harder

Available with Beat the GMAT members only code

• Get 300+ Practice Questions

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Free Veritas GMAT Class
Experience Lesson 1 Live Free

Available with Beat the GMAT members only code

• Award-winning private GMAT tutoring
Register now and save up to \$200

Available with Beat the GMAT members only code

### Top First Responders*

1 Ian Stewart 43 first replies
2 Brent@GMATPrepNow 35 first replies
3 Scott@TargetTestPrep 33 first replies
4 Jay@ManhattanReview 28 first replies
5 GMATGuruNY 19 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 Scott@TargetTestPrep

Target Test Prep

149 posts
2 Max@Math Revolution

Math Revolution

93 posts
3 Brent@GMATPrepNow

GMAT Prep Now Teacher

53 posts
4 Ian Stewart

GMATiX Teacher

52 posts
5 GMATGuruNY

The Princeton Review Teacher

32 posts
See More Top Beat The GMAT Experts