GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Jun 2019, 18:41 GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  If y is 80% greater than x, than x is what % less than y?

Author Message
TAGS:

Hide Tags

Intern  Joined: 15 Mar 2013
Posts: 19
WE: Information Technology (Consulting)
If y is 80% greater than x, than x is what % less than y?  [#permalink]

Show Tags

1
5 00:00

Difficulty:   25% (medium)

Question Stats: 77% (01:37) correct 23% (01:37) wrong based on 254 sessions

HideShow timer Statistics

If y is 80% greater than x, than x is what % less than y?

(A) 20
(B) 25
(C) 33 1/3
(D) 44 4/9
(E) 80

Originally posted by PatrickS on 11 Nov 2013, 20:05.
Last edited by PatrickS on 11 Nov 2013, 20:14, edited 2 times in total.
Intern  Joined: 15 Mar 2013
Posts: 19
WE: Information Technology (Consulting)
Re: If y is 80% greater than x  [#permalink]

Show Tags

1
This problem looks simple enough yet i cannot understand what i am doing wrong:

$$y=x*\frac{180}{100}$$

$$y=x*\frac{18}{10}$$

$$y=x*\frac{9}{5}$$

$$x=y*\frac{5}{9}$$

$$x= y* 5* 0.11111$$

$$x= y* 0.555$$ --> $$x= ~ 55.5% of y$$

Help...
Attachments

File comment: I fully understand this explanation, i don't get why my logic is wrong % Question.jpg [ 41.15 KiB | Viewed 50718 times ]

Director  B
Affiliations: GMATQuantum
Joined: 19 Apr 2009
Posts: 609
Re: If y is 80% greater than x  [#permalink]

Show Tags

2
PatrickS,

Everything you have done is correct, and your answer would be correct if they had asked x is what percent of y, which is indeed 55.55%. However, the question is asking for x is what percent less than y, which is equal to [(y-x)/y]*100 or 44.44 percent.

Dabral
Intern  Joined: 15 Mar 2013
Posts: 19
WE: Information Technology (Consulting)
Re: If y is 80% greater than x  [#permalink]

Show Tags

dabral wrote:
PatrickS,

Everything you have done is correct, and your answer would be correct if they had asked x is what percent of y, which is indeed 55.55%. However, the question is asking for x is what percent less than y, which is equal to [(y-x)/y]*100 or 44.44 percent.

Dabral

Silly me... Thank you for clarifying
SVP  Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1793
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: If y is 80% greater than x, than x is what % less than y?  [#permalink]

Show Tags

$$y = \frac{180}{100} * x$$

$$x = \frac{100}{180} * y$$

Percentage $$= \frac{100*100}{180} = \frac{500}{9} = 55.55$$

Percentage less = 100 - 55.55 = 44.45

_________________
Kindly press "+1 Kudos" to appreciate Intern  Joined: 05 Sep 2013
Posts: 9
Location: Georgia
Re: If y is 80% greater than x, than x is what % less than y?  [#permalink]

Show Tags

1
if y=180 x=100
180-100=80

90 is 50% of y.
80 is little less than 90 so answer D 44 4/9
Math Expert V
Joined: 02 Sep 2009
Posts: 55670
If y is 80 percent greater than x, then x is what percent less than y?  [#permalink]

Show Tags

1
If y is 80 percent greater than x, then x is what percent less than y?

A. 20
B. 25
C. 33 1/3
D. 44 4/9
E. 80

Kudos for a correct solution.
_________________
Current Student B
Joined: 23 May 2013
Posts: 186
Location: United States
Concentration: Technology, Healthcare
GMAT 1: 760 Q49 V45 GPA: 3.5
If y is 80 percent greater than x, then x is what percent less than y?  [#permalink]

Show Tags

3
Bunuel wrote:
If y is 80 percent greater than x, then x is what percent less than y?

A. 20
B. 25
C. 33 1/3
D. 44 4/9
E. 80

Kudos for a correct solution.

$$y = 1.8x$$
$$y = \frac{9}{5}*x$$; therefore $$x = \frac{5}{9}*y$$

Therefore, x is five-ninths of y, which means x is four-ninths less than y. . $$\frac{4}{9}$$ equates to 44.44 percent.

EMPOWERgmat Instructor V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 14351
Location: United States (CA)
GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 If y is 80 percent greater than x, then x is what percent less than y?  [#permalink]

Show Tags

1
3
Hi All,

This is a perfect question for TESTing VALUES.

We're told that Y is 80% GREATER than X.....

Let's TEST...
X = 100
Y = 180

The question then asks "X is what percent LESS than Y?"

When a question asks for "percent greater" or "percent less", then the Percentage Change Formula is required.

Percentage Change = (New - Old)/Old = Difference/Original

Here, the "new" number is 100 and the "old" number is 180 (you could also say that the difference is 80 and the 'original' number is 180).

Depending on which version of the formula you use, your answer might look a little different, but the end "meaning" is the same....

(100 - 180)/180 = -80/180 = -8/18 = -4/9 = -44.4444% The 'minus' sign means "less"

OR

80/180 = 8/18 = 4/9 = 44.444%

Either way, the "meaning" is the same: X is 44.4444% less than Y.

GMAT assassins aren't born, they're made,
Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

Rich Cohen

Co-Founder & GMAT Assassin Follow
Special Offer: Save $75 + GMAT Club Tests Free Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/ Manager  B Joined: 06 Jan 2014 Posts: 56 Re: If y is 80 percent greater than x, then x is what percent less than y? [#permalink] Show Tags 1 Since we need to find X percent less than Y y-x/y = (1.8x-x)/1.8x = 44(4/9) Ans : D _________________ ______________________________ Liked the Post !!!! KUDOs Plzzzzz SVP  Status: The Best Or Nothing Joined: 27 Dec 2012 Posts: 1793 Location: India Concentration: General Management, Technology WE: Information Technology (Computer Software) Re: If y is 80 percent greater than x, then x is what percent less than y? [#permalink] Show Tags 1 Answer = D. 44 4/9 Say x = 100, then y = 180 Percent less $$= 100*\frac{80}{180} = 44 \frac{4}{9}$$ _________________ Kindly press "+1 Kudos" to appreciate Math Expert V Joined: 02 Sep 2009 Posts: 55670 Re: If y is 80 percent greater than x, then x is what percent less than y? [#permalink] Show Tags Bunuel wrote: If y is 80 percent greater than x, then x is what percent less than y? A. 20 B. 25 C. 33 1/3 D. 44 4/9 E. 80 Kudos for a correct solution. MAGOOSH OFFICIAL SOLUTION: Attachment: yis80percentgreaterthanx_text.PNG [ 13.06 KiB | Viewed 47620 times ] _________________ SVP  B Joined: 06 Nov 2014 Posts: 1877 Re: If y is 80 percent greater than x, then x is what percent less than y? [#permalink] Show Tags Bunuel wrote: If y is 80 percent greater than x, then x is what percent less than y? A. 20 B. 25 C. 33 1/3 D. 44 4/9 E. 80 Kudos for a correct solution. Let x = 100 So y = 180 We want percentage change. So, (100-180)/180 = -44.44% = 44 4/9% lesser tha y. Hence option (D). -- Optimus Prep's GMAT On Demand course for only$299 covers all verbal and quant. concepts in detail. Visit the following link to get your 7 days free trial account: http://www.optimus-prep.com/gmat-on-demand-course
Current Student D
Joined: 12 Aug 2015
Posts: 2610
Schools: Boston U '20 (M)
GRE 1: Q169 V154 If y is 80 percent greater than x, then x is what percent less than y?  [#permalink]

Show Tags

1
Hi Bunuel

if-y-is-80-greater-than-x-than-x-is-what-less-than-y-163031.html?fl=similar

*** REPEATED QUESTION. IT has already been Discussed _________________
Math Expert V
Joined: 02 Sep 2009
Posts: 55670
Re: If y is 80% greater than x, than x is what % less than y?  [#permalink]

Show Tags

stonecold wrote:
Hi Bunuel

if-y-is-80-greater-than-x-than-x-is-what-less-than-y-163031.html?fl=similar

*** REPEATED QUESTION. IT has already been Discussed ______________
Done. Thank you.
_________________
Intern  Joined: 05 Sep 2015
Posts: 43
Re: If y is 80% greater than x, than x is what % less than y?  [#permalink]

Show Tags

1
y=180/100 x

x=5/9 y

y-5/9y = 4/9 y

4/9 y *100 = 44 4/9

therefore option d.
Target Test Prep Representative G
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2823
Re: If y is 80% greater than x, than x is what % less than y?  [#permalink]

Show Tags

PatrickS wrote:
If y is 80% greater than x, than x is what % less than y?

(A) 20
(B) 25
(C) 33 1/3
(D) 44 4/9
(E) 80

We can create the following equation:

y = 1.8x

Thus:

(x - y)/y * 100 = (x - 1.8x)/1.8x * 100 = -0.8x/1.8x * 100 = -8/18 * 100 = -4/9 * 100 = -44 4/9

We see that x is 44 4/9 percent less than y.

_________________

Jeffrey Miller

Jeff@TargetTestPrep.com

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Non-Human User Joined: 09 Sep 2013
Posts: 11393
Re: If y is 80% greater than x, than x is what % less than y?  [#permalink]

Show Tags

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________ Re: If y is 80% greater than x, than x is what % less than y?   [#permalink] 25 Sep 2018, 15:00
Display posts from previous: Sort by

If y is 80% greater than x, than x is what % less than y?  