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At a certain restaurant, if each hamburger costs the same am

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fozzzy
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At a certain restaurant, if each hamburger costs the same am [#permalink] At a certain restaurant, if each hamburger costs the same am   24 Feb 2013, 06:25
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At a certain restaurant, if each hamburger costs the same amount, what is the cost, excluding sales tax, of 1 hamburger?

(1) The total cost, including a 6 percent sales tax, is $4.77 for 3 hamburgers.
(2) The total cost, including a 6 percent sales tax, is less than $6.50 for 4 hamburgers.
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jbisht
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Re: At a certain restaurant, if each hamburger costs the same am [#permalink] At a certain restaurant, if each hamburger costs the same am   24 Feb 2013, 06:52
fozzzy
At a certain restaurant, if each hamburger costs the same amount, what is the cost, excluding sales tax, of 1 hamburger?

(1) The total cost, including a 6 percent sales tax, is $4.77 for 3 hamburgers.
(2) The total cost, including a 6 percent sales tax, is less than $6.50 for 4 hamburgers.

Don't have OA

Please provided detailed explanations confused in how to form equations for this question.

let cost of one Ham. is c
form (1) => 3*c + 3*c*.06 = 4.77 => this gives the value of c.
from (2) = > 6*c + 6*c*.06 < 6.5 => does not give a unique value

therefor condition(1) alone is suffice.

Hence, my ans is "a"
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Re: At a certain restaurant, if each hamburger costs the same am [#permalink] At a certain restaurant, if each hamburger costs the same am   25 Feb 2013, 00:35
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Question - Cost of the hamburger before tax = x?

(1) The total cost, including a 6 percent sales tax, is $4.77 for 3 hamburgers.
SUFFICIENT: Algebraically it can be represented as 3x + 0.06(3x)=4.77 -> Solve to x=$1.5

(2) The total cost, including a 6 percent sales tax, is less than $6.50 for 4 hamburgers.
INSUFFICIENT: The total cost for 4 hamburgers including tax is < $6.5. This does not lead us to fixed price for hamburger. It can cost $0.50 or $1 with total cost being less than $6.50.

Hence choice (A) is the answer.
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Re: At a certain restaurant, if each hamburger costs the same am [#permalink] At a certain restaurant, if each hamburger costs the same am   07 Aug 2020, 11:24
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In this value type of DS question, the cost of one hamburger (excluding Sales tax) has to be found out. Let this be C.

From statement I alone, the total cost is $4.77 for 3 hamburgers, including a 6% sales tax. This means,
3 * C*(1+\(\frac{6}{100}\)) = 4.77.
Can we calculate a unique value of C from the equation above? We very well can since there is one unknown and one independent equation.
Statement I alone is sufficient. Answer option B, C and E can be eliminated. Possible answer options are A or D.

From statement II alone, the total cost for 4 hamburgers, including a 6% sales tax, is less than $6.50. This means,
4*C (1+\(\frac{6}{100}\)) < 6.50.
From the above inequality, we can only obtain a range for C and not a single value.
Statement II alone is insufficient. Answer option D can be eliminated.

The correct answer option is A.

Hope that helps!
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Re: At a certain restaurant, if each hamburger costs the same am [#permalink] At a certain restaurant, if each hamburger costs the same am   17 Jul 2021, 04:07
fozzzy
At a certain restaurant, if each hamburger costs the same amount, what is the cost, excluding sales tax, of 1 hamburger?

(1) The total cost, including a 6 percent sales tax, is $4.77 for 3 hamburgers.
(2) The total cost, including a 6 percent sales tax, is less than $6.50 for 4 hamburgers.

the Main thing to understand is that inequality, such as in Statement 2 cannot give a unique answer in this case.

A is the final answer.
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Re: At a certain restaurant, if each hamburger costs the same am [#permalink] At a certain restaurant, if each hamburger costs the same am   21 May 2024, 08:38
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Re: At a certain restaurant, if each hamburger costs the same am [#permalink]
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