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
Mean: Is it a 99%tile question?
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- Ashishkapoor7
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The average profit per day =5304.
Number of units sold = q
Let difference between cost price and selling price be (s-p)
Therefore, for the first week,
Profit =q(s-p). Also, profit for the week =5304*7
If we factorize 5304*7, we get 5304*7= 2^3*3*7*13*17.
We need to find the possible values of (s-p). They must be among the possible factors above.
Now, going by the options,
$3 can be a possible value
$4 can be a value
$7 can be a value
$11 cannot be a value
$51 can be a value (as 51 is 17*3, both of which are factors).
Basically, we need to understand that we have to find factors of the number and check.
So D is the answer.
To answer your other question, this is not 99%ile question, I feel it's just a notch below that!
Number of units sold = q
Let difference between cost price and selling price be (s-p)
Therefore, for the first week,
Profit =q(s-p). Also, profit for the week =5304*7
If we factorize 5304*7, we get 5304*7= 2^3*3*7*13*17.
We need to find the possible values of (s-p). They must be among the possible factors above.
Now, going by the options,
$3 can be a possible value
$4 can be a value
$7 can be a value
$11 cannot be a value
$51 can be a value (as 51 is 17*3, both of which are factors).
Basically, we need to understand that we have to find factors of the number and check.
So D is the answer.
To answer your other question, this is not 99%ile question, I feel it's just a notch below that!
Folks please check this out
https://www.youtube.com/watch?v=H7p56NzAVKc
https://www.youtube.com/watch?v=H7p56NzAVKc
- GMATGuruNY
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Question rephrased: What was the amount of profit per unit?Ashishkapoor7 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
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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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].
Student Review #1
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