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

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

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Updated on: 11 Nov 2013, 19:14
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25% (medium)

Question Stats:

78% (01:13) correct 22% (01:16) wrong based on 235 sessions

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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, 19:05.
Last edited by PatrickS on 11 Nov 2013, 19:14, edited 2 times in total.
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Re: If y is 80% greater than x  [#permalink]

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11 Nov 2013, 19:10
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...
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File comment: I fully understand this explanation, i don't get why my logic is wrong

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Re: If y is 80% greater than x  [#permalink]

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11 Nov 2013, 21:08
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
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Re: If y is 80% greater than x  [#permalink]

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12 Nov 2013, 05:34
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
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Re: If y is 80% greater than x, than x is what % less than y?  [#permalink]

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12 Nov 2014, 01:44
$$y = \frac{180}{100} * x$$

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

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

Percentage less = 100 - 55.55 = 44.45

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Re: If y is 80% greater than x, than x is what % less than y?  [#permalink]

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12 Nov 2014, 05:32
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
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If y is 80 percent greater than x, then x is what percent less than y?  [#permalink]

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23 Mar 2015, 05:40
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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.
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If y is 80 percent greater than x, then x is what percent less than y?  [#permalink]

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23 Mar 2015, 06:46
2
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.

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If y is 80 percent greater than x, then x is what percent less than y?  [#permalink]

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24 Mar 2015, 21:53
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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.

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Special Offer: Save $75 + GMAT Club Tests Free Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/ *****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***** Manager Joined: 06 Jan 2014 Posts: 62 Re: If y is 80 percent greater than x, then x is what percent less than y? [#permalink] Show Tags 25 Mar 2015, 00:09 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: 1826 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 25 Mar 2015, 00:59 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 Joined: 02 Sep 2009 Posts: 50624 Re: If y is 80 percent greater than x, then x is what percent less than y? [#permalink] Show Tags 30 Mar 2015, 02:19 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 41751 times ] _________________ SVP Joined: 06 Nov 2014 Posts: 1882 Re: If y is 80 percent greater than x, then x is what percent less than y? [#permalink] Show Tags 31 Mar 2015, 11:39 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
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If y is 80 percent greater than x, then x is what percent less than y?  [#permalink]

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30 Aug 2016, 13:38
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Math Expert
Joined: 02 Sep 2009
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Re: If y is 80% greater than x, than x is what % less than y?  [#permalink]

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30 Aug 2016, 22:05
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.
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Re: If y is 80% greater than x, than x is what % less than y?  [#permalink]

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30 Aug 2016, 22:31
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.
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Re: If y is 80% greater than x, than x is what % less than y?  [#permalink]

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19 Sep 2017, 14:46
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.

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Re: If y is 80% greater than x, than x is what % less than y?  [#permalink]

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