The number 100 is what percent greater than x?

Question

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

Are You Up For the Challenge: 700 Level Questions

Archit3110 · Answer

#
1
150 is x percent greater than 5x.
150=5x*x/100 +5x
solve for x 
we get quadratic and two values
insufficient
#2
x>0
insufficient
from 1 &2
IMO C

SonamRa · Answer

We need to find X to answer the question
From first statement :
150 = 5x + x% of 5x

150 = 5x+x/100*5X

15000 = 500x+5x^2
x^2 +100x - 3000 = 0 Equation from 1st statement here we will get one positive and one negative value of x, so this is insufficient

From statement two we know x>0, it is insufficient alone to answer the question

Bur when we combine both statement we'll get value of x
so answer is C, both statements together can answer the question

nikmihlvo · Answer

Hi  SonamRa , thank you for the explanation! But I'm a little confused: shouldn't it be x^2+100x  -  3000=0?

SonamRa · Answer

Thanks for the correction. Ya it is supposed to be -3000, my bad.

mba20202022 · Answer

Can't we eliminate the option that x<0? (as the stem says "x percent greater that x")
(i.e., in that case A is the right answer)

Bunuel 
could you please advise as well?

Namangupta1997 · Answer

chetan2u  
Since it is already being said in the first statement x is also a value of percentage, isn't it understood that x would always be greater than 0 ?

chetan2u · Answer

Hi

Percentages can be negative, but not something that would be the difference between choosing A and choosing C.

I don’t think you would see such a thing in exam on two accounts. 
a) Negative percentage making all the difference. 
b) The values of x are -124.1234…. and 24.1234…. Just shows that question has been made without giving sufficient thought.

Best avoided.

Crytiocanalyst · Answer

x^2 +100x +3000=0

Since the values x cannot be equal nd they have to be positive and negative 
we cannot conclude percentages can be negative there is a possibility

x>0 clearly insufficient 
However combined we get a definitive value of x therefore IMO C

bumpbot · Answer

Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.

The number 100 is what percent greater than x?

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Data Sufficiency (DS) Questions

The number 100 is what percent greater than x?

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards