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

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Intern
Joined: 18 Jan 2012
Posts: 37
A certain database charges users a registration fee of x dollars, and  [#permalink]

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25 Mar 2017, 16:20
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Question Stats:

90% (01:24) correct 10% (01:25) wrong based on 93 sessions

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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.
Director
Joined: 05 Mar 2015
Posts: 990
Re: A certain database charges users a registration fee of x dollars, and  [#permalink]

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25 Mar 2017, 19:27
1
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
Intern
Joined: 22 Sep 2015
Posts: 3
GPA: 3.9
Re: A certain database charges users a registration fee of x dollars, and  [#permalink]

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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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Joined: 22 Aug 2013
Posts: 1435
Location: India
Re: A certain database charges users a registration fee of x dollars, and  [#permalink]

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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

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.

Hope its clear now
Intern
Joined: 22 Sep 2015
Posts: 3
GPA: 3.9
Re: A certain database charges users a registration fee of x dollars, and  [#permalink]

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22 Jun 2017, 11:12
Thank you so much! Yes it is much clearer now!
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Joined: 26 Feb 2016
Posts: 3360
Location: India
GPA: 3.12
Re: A certain database charges users a registration fee of x dollars, and  [#permalink]

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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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08 Aug 2018, 14:49
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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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