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Last week, Raina and Bob made a combined total of 190 sales at a compu

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Last week, Raina and Bob made a combined total of 190 sales at a compu [#permalink]

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New post 25 Apr 2016, 07:14
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85% (00:52) correct 15% (00:12) wrong based on 53 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.
[Reveal] Spoiler: OA

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Re: Last week, Raina and Bob made a combined total of 190 sales at a compu [#permalink]

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New post 25 Apr 2016, 09:15
Answer should be D...each statement is sufficient to answer question

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Re: Last week, Raina and Bob made a combined total of 190 sales at a compu [#permalink]

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New post 25 Apr 2016, 23:32
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
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Re: Last week, Raina and Bob made a combined total of 190 sales at a compu [#permalink]

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New post 01 Jan 2018, 10:45
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
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Re: Last week, Raina and Bob made a combined total of 190 sales at a compu   [#permalink] 01 Jan 2018, 10:45
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