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The number 100 is what percent greater than x?

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Source: — Data Sufficiency |

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Re: The number 100 is what percent greater than x?

by Jay@ManhattanReview » Wed Apr 15, 2020 1:38 am
BTGmoderatorDC wrote: ↑
Tue Apr 14, 2020 4:29 pm
 The number 100 is what percent greater than x?

(1) 150 is x percent greater than 5x.
(2) x > 0

OA C

Source: e-GMAT
To answer the question, we need the value of x.

Let's take each statement one by one.

(1) 150 is x percent greater than 5x.

=> (150 – 5x)/5x = x%
Upon solving, we get x = –6 or 5. No unique value of x. Insufficient.

(2) x > 0

Certainly insufficient.

(1) and (2) together

x = 5. Sufficient.

The correct answer: C

Hope this helps!

-Jay
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