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 $.018 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
Please explain...
Thanks.
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Sunny22uk
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The gas price/gallon for the state is p. As per the question, it is equal to sum of 2 things:-
1)a 4 percent sales tax to the dealer's price per gallon d, in dollar
Which can be rewritten as d+4%d=d+.04d=1.04d
2)Gasoline tax of $.018 per gallon
the equation becomes p= 1.04d+.018
since we have to find d, we can rewrite the equation as:-
d=p-.018/1.04
Hope this helps.
1)a 4 percent sales tax to the dealer's price per gallon d, in dollar
Which can be rewritten as d+4%d=d+.04d=1.04d
2)Gasoline tax of $.018 per gallon
the equation becomes p= 1.04d+.018
since we have to find d, we can rewrite the equation as:-
d=p-.018/1.04
Hope this helps.
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dmateer25
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Okay.
The price per gallon at the pump = p
The dealer's price per gallon = d
The sales tax is 4% per gallon
The gasoline tax is .18 per gallon
As per the question, the price per gallon at the pump = 1.04 x the dealers price per gallon + .18
So to shorten this is looks like this:
p=1.04d + .18
p - .18=1.04d
(p - .18)/1.04 = d
The price per gallon at the pump = p
The dealer's price per gallon = d
The sales tax is 4% per gallon
The gasoline tax is .18 per gallon
As per the question, the price per gallon at the pump = 1.04 x the dealers price per gallon + .18
So to shorten this is looks like this:
p=1.04d + .18
p - .18=1.04d
(p - .18)/1.04 = d
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thinktank08
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Hey !
I got this Q on my GMAT prep today, i chose
p=d +0.22.
This is how i went about it
p=0.04 + d + 0.18
Could you plz explain to me what my expression means and how is it supposed to be 1.04 instead ??
Would be of great help
Thanks
TT
I got this Q on my GMAT prep today, i chose
p=d +0.22.
This is how i went about it
p=0.04 + d + 0.18
Could you plz explain to me what my expression means and how is it supposed to be 1.04 instead ??
Would be of great help
Thanks
TT
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GMATGuruNY
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Let d=100.dferm wrote:In a certain state, gasoline stations compute the price per gallon p, in dollars, charged at the pump by adding a 4% sales tax to the dealer's price per gallon d, in dollars, 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
Since the price includes a sales tax of 4% and a gas tax of $0.18, we get:
p = 100 + .04(100) + .18 = 104.18.
Thus, when p = 104.18, d=100.
Scanning the answer choices, we should see that D is the most likely to be correct, since it subtracts 0.18 from the value of p=104.18:
d = (p - 0.18)/(1.04) = (104.18 - 0.18)/(1.04) = 104/(1.04) = 100.
The correct answer is D.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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