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A certain database charges users a registration fee of x dollars, and

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A certain database charges users a registration fee of x dollars, and  [#permalink]

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New post 25 Mar 2017, 16:20
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A certain database charges users a registration fee of x dollars, and if charges registered users y dollars per file downloaded. If there are no other charges for users of this database, what is the amount of the registration fee?

(1) The total charge to download 50 files is $150, including the registration fee.
(2) The total charge to download 100 files is $225, including the registration fee.
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Re: A certain database charges users a registration fee of x dollars, and  [#permalink]

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New post 25 Mar 2017, 19:27
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mitko20m wrote:
A certain database charges users a registration fee of x dollars, and if charges registered users y dollars per file downloaded. If there are no other charges for users of this database, what is the amount of the registration fee?
(1) The total charge to download 50 files is $150, including the registration fee.
(2) The total charge to download 100 files is $225, including the registration fee.


A Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D EACH statement ALONE is sufficient.
E Statements (1) and (2) TOGETHER are NOT sufficient.



each statement alone is insuff..since there may be any breakup cost for registration and download.

combining we know for extra 50 files to be downloaded ,extra $75 is charged from users.
thus registering charge = 150 -75= $75

Ans C
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Re: A certain database charges users a registration fee of x dollars, and  [#permalink]

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New post 22 Jun 2017, 09:51
rohit8865 wrote:
mitko20m wrote:
A certain database charges users a registration fee of x dollars, and if charges registered users y dollars per file downloaded. If there are no other charges for users of this database, what is the amount of the registration fee?
(1) The total charge to download 50 files is $150, including the registration fee.
(2) The total charge to download 100 files is $225, including the registration fee.


A Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D EACH statement ALONE is sufficient.
E Statements (1) and (2) TOGETHER are NOT sufficient.



each statement alone is insuff..since there may be any breakup cost for registration and download.

combining we know for extra 50 files to be downloaded ,extra $75 is charged from users.
thus registering charge = 150 -75= $75

Ans C






I am not sure that I understand your explanation here - why is each statement NS?
Also, why is C correct?

I was trying to solve in terms of the # of equations t o#of variables but still not sure how u got this.
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Re: A certain database charges users a registration fee of x dollars, and  [#permalink]

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New post 22 Jun 2017, 10:58
2
Tking1167 wrote:
rohit8865 wrote:
mitko20m wrote:
A certain database charges users a registration fee of x dollars, and if charges registered users y dollars per file downloaded. If there are no other charges for users of this database, what is the amount of the registration fee?
(1) The total charge to download 50 files is $150, including the registration fee.
(2) The total charge to download 100 files is $225, including the registration fee.


A Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D EACH statement ALONE is sufficient.
E Statements (1) and (2) TOGETHER are NOT sufficient.



each statement alone is insuff..since there may be any breakup cost for registration and download.

combining we know for extra 50 files to be downloaded ,extra $75 is charged from users.
thus registering charge = 150 -75= $75

Ans C






I am not sure that I understand your explanation here - why is each statement NS?
Also, why is C correct?

I was trying to solve in terms of the # of equations t o#of variables but still not sure how u got this.


Hi

Statement 1. Charge to download 50 files includes x as registration fee and y per file (download fees). So we have:
x + 50y = 150

But we cannot find x just on the basis of this single equation (single equation, two variables, multiples answers possible here)
So this statement is NS

Statement 2. Here it says
x + 100y = 225

Same logic as last one, this statement is also NS

Combining the two statements: now we can easily subtract first equation from second to get 50y = 75, we can substitute this value in first equation to get x.
Sufficient. Hence C answer

Hope its clear now
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Re: A certain database charges users a registration fee of x dollars, and  [#permalink]

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New post 22 Jun 2017, 11:12
Thank you so much! Yes it is much clearer now!
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Re: A certain database charges users a registration fee of x dollars, and  [#permalink]

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New post 22 Jun 2017, 14:05
Let the registration fee be X and the charges per file downloaded is Y.

1. Translating statement 1, we can say that X+50Y = 150
We have 2 unknowns, but only one equation.
You could have values of X=50,Y=2 or X=100,Y=1
Hence, this statement alone is not sufficient.

2. Translating statement 1, we can say that X+100Y = 225
We have 2 unknowns, but only one equation.
You could have values of X=125,Y=1 or X=75,Y=1.5
Hence, this statement alone is not sufficient.

On combining both these statement, we can clearly give the value of X and Y.
Substracting equation formed in statement 1 from the equation formed in statement 2,
we get 50Y = 75 or Y = 1.5
Substituting this value in either equation we get value of registration fees to be 75$(Option C)
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Re: A certain database charges users a registration fee of x dollars, and  [#permalink]

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Re: A certain database charges users a registration fee of x dollars, and   [#permalink] 08 Aug 2018, 14:49
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