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

It is currently 18 Oct 2019, 20:09

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

In a certain state, gasoline stations compute the price per gallon "p"

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

Hide Tags

Find Similar Topics 
Manager
Manager
User avatar
Joined: 20 Nov 2009
Posts: 114
In a certain state, gasoline stations compute the price per gallon "p"  [#permalink]

Show Tags

New post Updated on: 31 Jan 2019, 02:44
19
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

76% (01:58) correct 24% (02:25) wrong based on 346 sessions

HideShow timer Statistics

In a certain state, gasoline stations compute the price per gallon "p", in dollars, charged at the pump by adding a 4 percent sales tax to the dealer's price per gallon "d", in dollars, and then adding a gasoline tax of $0.18 per gallon. Which of the following gives the dealer's price per gallon "d" in terms of the price per gallon "p" charged at the pump?


A. \(d = p-0.22\)

B. \(d = \frac{p}{1.22}\)

C. \(d = \frac{p}{1.04} - 0.18\)

D. \(d= \frac{p-0.18}{1.04}\)

E. \(d = \frac{p-0.04}{1.18}\)

_________________
But there’s something in me that just keeps going on. I think it has something to do with tomorrow, that there is always one, and that everything can change when it comes.
http://aimingformba.blogspot.com

Originally posted by aiming4mba on 07 Sep 2010, 13:36.
Last edited by Bunuel on 31 Jan 2019, 02:44, edited 2 times in total.
Edited the question.
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58453
Re: In a certain state, gasoline stations compute the price per gallon "p"  [#permalink]

Show Tags

New post 07 Sep 2010, 13:57
5
5
aiming4mba wrote:
In a certain state, gasoline stations compute the price per gallon "p", in dollars, charged at the pump by adding a 4 percent sales tax to the dealer's price per gallon "d", in dollars, and then adding a gasoline tax of $0.18 per gallon. Which of the following gives the dealer's price per gallon "d" in terms of the price per gallon "p" charged at the pump?

a. d=p-0.22
b. d=p/1.22
c. d=p/1.04 - 0.18
d. d= p-0.18/1.04
e. d = p-0.04/1.18


Price per gallon \(p\) equals to \(d+0.04d\) (dealer's price \(d\) plus 4%) plus \(0.18\), so \(p=d+0.04d+0.18\) --> \(p=1.04d+0.18\) --> \(d=\frac{p-0.18}{1.04}\).

Answer: D.
_________________
General Discussion
Intern
Intern
avatar
Joined: 02 Dec 2012
Posts: 33
GMAT Date: 01-01-2014
Re: In a certain state, gasoline stations compute the price per gallon "p"  [#permalink]

Show Tags

New post 10 Mar 2014, 16:41
Bunuel wrote:
aiming4mba wrote:
In a certain state, gasoline stations compute the price per gallon "p", in dollars, charged at the pump by adding a 4 percent sales tax to the dealer's price per gallon "d", in dollars, and then adding a gasoline tax of $0.18 per gallon. Which of the following gives the dealer's price per gallon "d" in terms of the price per gallon "p" charged at the pump?

a. d=p-0.22
b. d=p/1.22
c. d=p/1.04 - 0.18
d. d= p-0.18/1.04
e. d = p-0.04/1.18


Price per gallon \(p\) equals to \(d+0.04d\) (dealer's price \(d\) plus 4%) plus \(0.18\), so \(p=d+0.04d+0.18\) --> \(p=1.04d+0.18\) --> \(d=\frac{p-0.18}{1.04}\).

Answer: D.


I picked C. I divided the 1.04 with P before subtracting 0.18. What rule is there that I am unaware of here?
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1749
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: In a certain state, gasoline stations compute the price per gallon "p"  [#permalink]

Show Tags

New post 10 Mar 2014, 19:53
1
nevermoreflow wrote:
Bunuel wrote:
aiming4mba wrote:
In a certain state, gasoline stations compute the price per gallon "p", in dollars, charged at the pump by adding a 4 percent sales tax to the dealer's price per gallon "d", in dollars, and then adding a gasoline tax of $0.18 per gallon. Which of the following gives the dealer's price per gallon "d" in terms of the price per gallon "p" charged at the pump?

a. d=p-0.22
b. d=p/1.22
c. d=p/1.04 - 0.18
d. d= p-0.18/1.04
e. d = p-0.04/1.18


Price per gallon \(p\) equals to \(d+0.04d\) (dealer's price \(d\) plus 4%) plus \(0.18\), so \(p=d+0.04d+0.18\) --> \(p=1.04d+0.18\) --> \(d=\frac{p-0.18}{1.04}\).

Answer: D.


I picked C. I divided the 1.04 with P before subtracting 0.18. What rule is there that I am unaware of here?



Substraction has to be done first, & then the whole term to be divided by 1.04
_________________
Kindly press "+1 Kudos" to appreciate :)
Senior Manager
Senior Manager
User avatar
Joined: 15 Oct 2015
Posts: 299
Concentration: Finance, Strategy
GPA: 3.93
WE: Account Management (Education)
GMAT ToolKit User
Re: In a certain state, gasoline stations compute the price per gallon "p"  [#permalink]

Show Tags

New post 18 Dec 2015, 06:18
ok lemme offer my 6 pence. Answer is D.

Why border ourselves solving formulars when our aim isn't to become Enstein but to pick the right answer.
we can always solve confusing questions by picking a simple number. the simplest number here is one so we don't do any Enstein level calculation.
let dealers price (d) be 1. so adding 4% to dealers price is d+ 4% of d. i.e. 1 + 4% of 1 which is 1 + 0.04. then add 0.18 to the value.
Now 1.04 + 0.18. this is now 1.22. you have the gasoline stations price (p) as 1.22 dollars.
Now sub 1.22 in the options to know which option gave you d = 1. d must equal 1 because you earlier picked 1 as the value of d in the question.

PS: always remember to start from E upwards.
thank you.
Manager
Manager
avatar
S
Joined: 24 Oct 2013
Posts: 129
Location: India
Concentration: General Management, Strategy
WE: Information Technology (Computer Software)
Re: In a certain state, gasoline stations compute the price per gallon "p"  [#permalink]

Show Tags

New post 26 Sep 2016, 22:51
question stem can be written as p = d + 4% of d +0.18
=> p = d(1+0.04)+0.18
=> p-0.18 = d(1+0.04)
d = p-018 /(1.04)
Intern
Intern
avatar
Joined: 25 Dec 2016
Posts: 2
Re: In a certain state, gasoline stations compute the price per gallon "p"  [#permalink]

Show Tags

New post 25 Dec 2016, 00:28
The problem states "...then adding a gasoline tax of $0.18 per gallon"

So, why is this not P = 1.04d + 0.18d instead of P = 1.04d + 0.18

Please help!

Thanks

Coolfool
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58453
Re: In a certain state, gasoline stations compute the price per gallon "p"  [#permalink]

Show Tags

New post 25 Dec 2016, 02:05
1
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15281
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: In a certain state, gasoline stations compute the price per gallon "p"  [#permalink]

Show Tags

New post 01 Apr 2018, 11:02
Hi All,

This question can be solved by TESTing VALUES.

P = Price per gallon CHARGED
D = Price per gallon for the Dealer

We're told that the Dealer price has a 4% tax AND 18 cents per gallon added on.

So, I'm going to pick a nice round number for D.

D = $10
P = $10 +4%($10) + 18 cents = 10.40 + .18 = 10.58

Now, we plug in D = 10 and P = 10.58 into the answer choices; there's only one answer that matches...

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________
Contact Rich at: Rich.C@empowergmat.com
Image


The Course Used By GMAT Club Moderators To Earn 750+

souvik101990 Score: 760 Q50 V42 ★★★★★
ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 12 Sep 2015
Posts: 4009
Location: Canada
Re: In a certain state, gasoline stations compute the price per gallon "p"  [#permalink]

Show Tags

New post 26 Nov 2018, 11:40
Top Contributor
aiming4mba wrote:
In a certain state, gasoline stations compute the price per gallon "p", in dollars, charged at the pump by adding a 4 percent sales tax to the dealer's price per gallon "d", in dollars, and then adding a gasoline tax of $0.18 per gallon. Which of the following gives the dealer's price per gallon "d" in terms of the price per gallon "p" charged at the pump?

A. d = p-0.22
B. d = p/1.22
C. d = p/1.04 - 0.18
D. d= (p-0.18)/1.04
E. d = (p-0.04)/1.18


In a certain state, gasoline stations compute the price per gallon "p", in dollars, charged at the pump by adding a 4 percent sales tax to the dealer's price per gallon "d", in dollars . . .
We can write: p = d + 4% of d
= d + 0.04d
= 1.04d
So, we have: p = 1.04d

. . . and then adding a gasoline tax of $0.18 per gallon.
We get: p = 1.04d + 0.18

Which of the following gives the dealer's price per gallon "d" in terms of the price per gallon "p" charged at the pump?
We need to take p = 1.04d + 0.18 and solve for d

Take: p = 1.04d + 0.18
Subtract 0.18 from both sides to get: p - 0.18 = 1.04d
Divide both sides by 1.04 to get: (p - 0.18)/1.04 = d

Answer: D

RELATED VIDEO FROM OUR COURSE

_________________
Test confidently with gmatprepnow.com
Image
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13263
Re: In a certain state, gasoline stations compute the price per  [#permalink]

Show Tags

New post 09 Oct 2019, 04:36
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Bot
Re: In a certain state, gasoline stations compute the price per   [#permalink] 09 Oct 2019, 04:36
Display posts from previous: Sort by

In a certain state, gasoline stations compute the price per gallon "p"

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





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