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

Question

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.

jbisht · Answer

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"

PrashantPonde · Answer

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.

CrackverbalGMAT · Answer

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!
Arvind.

palaknayyar · Answer

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

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