GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 21 Feb 2019, 08:24

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
Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
  • Online GMAT boot camp for FREE

     February 21, 2019

     February 21, 2019

     10:00 PM PST

     11:00 PM PST

    Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.
  • Free GMAT RC Webinar

     February 23, 2019

     February 23, 2019

     07:00 AM PST

     09:00 AM PST

    Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT

A dealer once sold identical cars at a piece of x dollars each (includ

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Senior RC Moderator
User avatar
V
Status: Preparing GMAT
Joined: 02 Nov 2016
Posts: 2248
Location: Pakistan
GPA: 3.39
Premium Member CAT Tests
A dealer once sold identical cars at a piece of x dollars each (includ  [#permalink]

Show Tags

New post 07 Feb 2019, 11:07
2
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

55% (02:17) correct 45% (03:18) wrong based on 22 sessions

HideShow timer Statistics

A dealer once sold identical cars at a piece of x dollars each (including sales tax). However, the pre-tax price was recently increased by $2,500 such that 18 cars purchased at the old price would cost the same as purchasing three fewer cars at the new price. If the sales tax rate is 8% , what is the new price of the dealer's cars, including sales tax, in dollars?

A) $10,800

B) $12,500

C) $13,500

D) $16,200

E) $16,750

_________________

New Project RC Butler 2019 - Practice 2 RC Passages Everyday
Final days of the GMAT Exam? => All GMAT Flashcards.
This Post Helps = Press +1 Kudos
Best of Luck on the GMAT!!

Intern
Intern
User avatar
B
Joined: 14 Jan 2018
Posts: 45
Location: India
Concentration: General Management, Entrepreneurship
GMAT 1: 720 Q50 V41
GPA: 3.7
WE: Engineering (Manufacturing)
CAT Tests
Re: A dealer once sold identical cars at a piece of x dollars each (includ  [#permalink]

Show Tags

New post 07 Feb 2019, 12:23
1
Price of each car be P
After price increment P+2500
total price of each car after tax (P+2500)*8%

Total price before increment P*8%
15*(P+2500)*8%=18*P*8%

which P =12500
New price 12500+2500=15000
ST 8%
Total price 15000*8% =16200


Answer D
Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4944
Location: United States (CA)
Re: A dealer once sold identical cars at a piece of x dollars each (includ  [#permalink]

Show Tags

New post 10 Feb 2019, 07:57
1
SajjadAhmad wrote:
A dealer once sold identical cars at a piece of x dollars each (including sales tax). However, the pre-tax price was recently increased by $2,500 such that 18 cars purchased at the old price would cost the same as purchasing three fewer cars at the new price. If the sales tax rate is 8% , what is the new price of the dealer's cars, including sales tax, in dollars?

A) $10,800

B) $12,500

C) $13,500

D) $16,200

E) $16,750


Since the sales tax rate is 8%, the original pre-tax price of the car is x/1.08, and the new pre-tax price of the car is therefore x/1.08 + 2500. We know that 18 cars at the old price is equivalent to 15 cars at the new price. Thus, we can create the equation:

18x = (x/1.08 + 2500)(1.08)(15)

18x/15 = (x/1.08 + 2500)(1.08)

1.2x = x + 2700

0.2x = 2700

x = 13,500

Therefore, the new price of the car, including sales tax, is (13,500/1.08 + 2500)(1.08) = 13,500 + 2,700 = 16,200 dollars.

Answer: D
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

GMAT Club Bot
Re: A dealer once sold identical cars at a piece of x dollars each (includ   [#permalink] 10 Feb 2019, 07:57
Display posts from previous: Sort by

A dealer once sold identical cars at a piece of x dollars each (includ

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.