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Product Y

by alex.gellatly » Sat Jun 23, 2012 6:55 pm
In the first week of last month, Company X realized an average wholesale profit of $5304 per day from the sale of q units of Product Y. Which of the following CANNOT be the difference between Product Y's sale price and cost per unit?

$3
$4
$7
$11
$51
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by gmat_and_me » Sat Jun 23, 2012 7:18 pm
The question asks for profit per unit.

Profit per unit = P = ((5304 * 7)/q)

We know that 'q' is an integer

q = ((5304 * 7)/P) => (5304 * 7) has to be divisible by
P. $11 doesn't satisfy this condition and hence it has to
be the answer

HTH
alex.gellatly wrote:In the first week of last month, Company X realized an average wholesale profit of $5304 per day from the sale of q units of Product Y. Which of the following CANNOT be the difference between Product Y's sale price and cost per unit?

$3
$4
$7
$11
$51
Top

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by Anurag@Gurome » Sat Jun 23, 2012 9:57 pm
alex.gellatly wrote:In the first week of last month, Company X realized an average wholesale profit of $5304 per day from the sale of q units of Product Y. Which of the following CANNOT be the difference between Product Y's sale price and cost per unit?
Say, the cost per unit is C and sale price per unit is S.

So, (qS - qC) = 5304*7
--> q(S - C) = 5304*7
--> q = (5304*7)/(S - C)

As q is an integer, (S - C) must completely divide 5304*7 or (S - C) must be a factor of 5304*7

Only 11 is not a factor of 5304*7

The correct answer is D.
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by GMATGuruNY » Sun Jun 24, 2012 4:19 am
In the first week of last month, Company X realized an average wholesale profit of $5304 per day from the
sale of q units of Product Y. Which of the following CANNOT be the difference between Product Y's sale
price and cost per unit?

$3 $4 $7 $11 $51
Question rephrased: What was the amount of profit per unit?
Total profit over 7 days = 5304*7 = (2*3*4*13*17)*7.
This product is a multiple of every answer choice except for 11.
Thus, it is not possible that the profit per unit was $11.

The correct answer is D.
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