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Math Expert V
Joined: 02 Sep 2009
Posts: 58398
Last week, Raina and Bob made a combined total of 190 sales at a compu  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 85% (01:19) correct 15% (01:15) wrong based on 68 sessions

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Last week, Raina and Bob made a combined total of 190 sales at a computer store. Raina made how many more sales than Bob?

(1) The difference between the number of sales Raina made and the number of sales Bob made was ten percent of the number of sales Raina made.

(2) Bob made 9/19 of the total number of sales made by himself and Raina.

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Intern  B
Joined: 11 Aug 2015
Posts: 13
Location: India
Concentration: Operations, Statistics
GMAT 1: 560 Q38 V28 GMAT 2: 610 Q46 V28 Re: Last week, Raina and Bob made a combined total of 190 sales at a compu  [#permalink]

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Answer should be D...each statement is sufficient to answer question

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Intern  B
Joined: 12 Aug 2013
Posts: 45
Re: Last week, Raina and Bob made a combined total of 190 sales at a compu  [#permalink]

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Bunuel wrote:
Last week, Raina and Bob made a combined total of 190 sales at a computer store. Raina made how many more sales than Bob?

(1) The difference between the number of sales Raina made and the number of sales Bob made was ten percent of the number of sales Raina made.

(2) Bob made 9/19 of the total number of sales made by himself and Raina.

R+ B =190

Statement 1 :-
R -B = 0.1R
0.9R = B
R/B = 10/9
R/190-R = 10/9
Which will give us unique value for R and B
Sufficient

Statement 2 :-
9/19* 190 = 90 sold by Bob
Sufficient

Hence D
Math Expert V
Joined: 02 Sep 2009
Posts: 58398
Re: Last week, Raina and Bob made a combined total of 190 sales at a compu  [#permalink]

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Bunuel wrote:
Last week, Raina and Bob made a combined total of 190 sales at a computer store. Raina made how many more sales than Bob?

(1) The difference between the number of sales Raina made and the number of sales Bob made was ten percent of the number of sales Raina made.

(2) Bob made 9/19 of the total number of sales made by himself and Raina.

VERITAS PREP OFFICIAL SOLUTION:

Statement 1: Let R be the number of sales Raina made, and B be the number of sales Bob made.

Your goal is to define the following:

Raina made how many more sales than Bob = R – B = ?

And you know from the question that:

Total number of sales by Raina and Bob = R + B = 190

From Statement 1 you learn:

R - B = 0.1R

With the two equations, it is possible to solve for R and B and determine R - B:

R + B = 190

R - B = 0.1R, so combine the two equations to get:

2R = 190 + 0.1R

1.9R = 190

So R = 100 and B = 90, meaning that R - B = 10.

SUFFICIENT

2) Statement 2 can be translated into:

B = (9/19)(B + R)

And since you know that B + R = 190 you have:

B = (9/19)(190)

So, again, B = 90 and R = 100, so R - B = 10.

SUFFICIENT
_________________ Re: Last week, Raina and Bob made a combined total of 190 sales at a compu   [#permalink] 01 Jan 2018, 11:45
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