Last visit was: 13 Dec 2024, 16:56 It is currently 13 Dec 2024, 16:56
Close
GMAT 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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 13 Dec 2024
Posts: 97,874
Own Kudos:
Given Kudos: 88,269
Products:
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 97,874
Kudos: 685,624
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
vishalkazone
Joined: 08 Sep 2008
Last visit: 22 Mar 2024
Posts: 104
Own Kudos:
Given Kudos: 17
Location: India
Concentration: Operations, General Management
Schools: ISB '20
GPA: 3.8
WE:Operations (Transportation)
Schools: ISB '20
Posts: 104
Kudos: 106
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
CareerGeek
Joined: 20 Jul 2017
Last visit: 12 Dec 2024
Posts: 1,297
Own Kudos:
Given Kudos: 162
Location: India
Concentration: Entrepreneurship, Marketing
GMAT 1: 690 Q51 V30
WE:Education (Education)
GMAT 1: 690 Q51 V30
Posts: 1,297
Kudos: 3,784
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Archit3110
User avatar
GMAT Club Legend
Joined: 18 Aug 2017
Last visit: 13 Dec 2024
Posts: 8,118
Own Kudos:
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy)
Products:
GMAT Focus 1: 545 Q79 V79 DI73
Posts: 8,118
Kudos: 4,498
Kudos
Add Kudos
Bookmarks
Bookmark this Post
money made intially ; TD
money returned ; QD
effective % ; \(\frac{100\%(TD - QD)}{TD}\)
IMO D

Bunuel
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) \(100\% × \frac{TD}{QD}\)

(B) \(100\% - Q/TD\)

(C) \(\frac{(100\% - (100QD))}{TD}\)

(D) \(\frac{100\%(TD - QD)}{TD}\)

(E) \(100\%(TD - QD)\)
avatar
Vini07
Joined: 29 Apr 2019
Last visit: 02 Aug 2019
Posts: 6
Own Kudos:
Given Kudos: 3
Posts: 6
Kudos: 1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Total no of vc sold=T
Selling price for one vc = $ D
Therefore total amount before return of vc=$ TD
No of vc returned =Q
Thus vc final sold=(T-Q)
Total amount of vc that salesman got after actual sales= (T-Q) D
Thus percentage of amount of actual amount to the amount before return= (T-Q)D*100/TD
Hence option D is the answer

Posted from my mobile device
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 13 Dec 2024
Posts: 19,869
Own Kudos:
Given Kudos: 288
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 19,869
Kudos: 24,290
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
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) \(100\% × \frac{TD}{QD}\)

(B) \(100\% - Q/TD\)

(C) \(\frac{(100\% - (100QD))}{TD}\)

(D) \(\frac{100\%(TD - QD)}{TD}\)

(E) \(100\%(TD - QD)\)

We can let T = 4, D = 1, Q = 2.

Thus, the money originally made was 4.

After the returns, the money made was 2.

The money made from sales as a percentage of the money made prior to returns was:

2/4 = 50%

Looking at the answer choices D gives us 50%:

100%(4 - 2)/4 = 2/4 = 1/2 = 50%.

Answer: D
Moderator:
Math Expert
97874 posts