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In a certain state, gasoline stations compute the price per

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In a certain state, gasoline stations compute the price per  [#permalink]

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New post Updated on: 11 Mar 2014, 00:52
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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 = p/1.22
C. d = p/1.04 - 0.18
D. d= (p-0.18)/1.04
E. d = (p-0.04)/1.18

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Originally posted by aiming4mba on 07 Sep 2010, 13:36.
Last edited by Bunuel on 11 Mar 2014, 00:52, edited 1 time in total.
Edited the question.
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Re: PS Question  [#permalink]

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New post 07 Sep 2010, 13:57
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.
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Re: PS Question  [#permalink]

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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?
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Re: PS Question  [#permalink]

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New post 10 Mar 2014, 19:53
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
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In a certain state, gasoline stations compute the price per  [#permalink]

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

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

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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

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

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New post 25 Dec 2016, 02:05
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

Please help!

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

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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...

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Re: In a certain state, gasoline stations compute the price per &nbs [#permalink] 01 Apr 2018, 11:02
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