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

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

by BTGmoderatorLU » Thu Dec 27, 2018 6:59 pm

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Source: Veritas Prep

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.

The OA is D
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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Thu Dec 27, 2018 10:40 pm

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BTGmoderatorLU wrote:Source: Veritas Prep

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.

The OA is D
Say the number of sales made by Raina is x, and the number of sales made by Bob is y.

Thus, x + y = 190.

We have to find out the value of x - y.

Let's take each statement one by one.

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.

=> x - y = 10% of x

x - y = 0.1x

y = 0.9x

From x + y = 190 and y = .09x, we can get the unique values of x and y, thus x - y. Sufficient.

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

=> y = 9/19 of (x + y)

19y = 9x + 9y

y = 0.9x

This is the same relationship that we derived from Statement 1. Sufficient.

The correct answer: D

Hope this helps!

-Jay
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