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

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Senior Manager
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Joined: 15 Sep 2010
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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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26 Oct 2010, 21:41
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25% (medium)

Question Stats:

85% (00:44) correct 15% (01:17) wrong based on 41 sessions

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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
[Reveal] Spoiler: OA

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Last edited by Bunuel on 16 Aug 2015, 16:04, edited 1 time in total.
Renamed the topic and edited the question.
Manager
Joined: 15 Apr 2010
Posts: 171
Re: If y is 80 percent greater than x, then x is what percent less than y [#permalink]

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26 Oct 2010, 22:00
1
KUDOS
y is 80 percent greater than x

Therefore,
y= (180/100) x

Let x be z percent of y.

So, x = (z/100) y
x = (z/100)(180/100) x
Solving, z = 55.55%

Therefore, x is (100 - 55.55 = 44.45) % LESS than y.
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Intern
Joined: 18 May 2017
Posts: 12
Re: If y is 80 percent greater than x, then x is what percent less than y [#permalink]

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20 May 2017, 06:24
siyer wrote:
y is 80 percent greater than x

Therefore,
y= (180/100) x

Let x be z percent of y.

So, x = (z/100) y
x = (z/100)(180/100) x
Solving, z = 55.55%

Therefore, x is (100 - 55.55 = 44.45) % LESS than y.

Can someone please provide another detailed explanation?
Thank you!
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Joined: 21 Aug 2013
Posts: 783
Location: India
Re: If y is 80 percent greater than x, then x is what percent less than y [#permalink]

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20 May 2017, 06:31
Let x=100, then y = 180.

We want to know x is what% less than y. This will be
(y-x)/y * 100 = 80/180 * 100 = 400/9 % = 44 4/9 %

Hence D
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Re: If y is 80 percent greater than x, then x is what percent less than y [#permalink]

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20 May 2017, 06:40
shrive555 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
y = 180 ; x = 100

Quote:
x is what percent less than y

$$= \frac{( 180 - 100 )}{180} *100$$

$$= \frac{80}{180} *100$$

$$= 44 \frac{4}{9}$$ %

Thus, the answer must be (D) $$44 \frac{4}{9}$$ %
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Re: If y is 80 percent greater than x, then x is what percent less than y   [#permalink] 20 May 2017, 06:40
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