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Manager  Joined: 20 Nov 2009
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In a certain state, gasoline stations compute the price per gallon "p"  [#permalink]

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19 00:00

Difficulty:   25% (medium)

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

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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 V Joined: 02 Sep 2009 Posts: 58453 Re: In a certain state, gasoline stations compute the price per gallon "p" [#permalink] Show Tags 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 $$p=d+0.04d+0.18$$ --> $$p=1.04d+0.18$$ --> $$d=\frac{p-0.18}{1.04}$$.

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Re: In a certain state, gasoline stations compute the price per gallon "p"  [#permalink]

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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  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 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 $$p=d+0.04d+0.18$$ --> $$p=1.04d+0.18$$ --> $$d=\frac{p-0.18}{1.04}$$.

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
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Re: In a certain state, gasoline stations compute the price per gallon "p"  [#permalink]

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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.
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Re: In a certain state, gasoline stations compute the price per gallon "p"  [#permalink]

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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  Joined: 25 Dec 2016
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Re: In a certain state, gasoline stations compute the price per gallon "p"  [#permalink]

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 V Joined: 02 Sep 2009 Posts: 58453 Re: In a certain state, gasoline stations compute the price per gallon "p" [#permalink] Show Tags 1 CoolFool wrote: 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

Thanks

Coolfool

Because p in the solutions above is already the price per gallon (the price of ONE gallon). Please re-read the solutions above.

Hope it helps.
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GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: In a certain state, gasoline stations compute the price per gallon "p"  [#permalink]

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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 _________________ GMAT Club Legend  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 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

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