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# If x is less than 80 percent of y, is x less than 100 ? (1)

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Director
Joined: 07 Jun 2004
Posts: 604
Location: PA
If x is less than 80 percent of y, is x less than 100 ? (1)  [#permalink]

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22 Jan 2011, 07:08
3
00:00

Difficulty:

65% (hard)

Question Stats:

61% (01:23) correct 39% (01:23) wrong based on 129 sessions

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If x is less than 80 percent of y, is x less than 100 ?

(1) x = y - 24
(2) y < 125

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Joined: 02 Sep 2009
Posts: 47946

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22 Jan 2011, 11:16
2
rxs0005 wrote:
If x is less than 80 percent of y, is x less than 100 ?

(1) x = y - 24
(2) y < 125

Given: $$x<0.8y$$. Question: is $$x<100$$

(1) x = y - 24 --> y=x+24 --> x<0.8(x+24) --> x<96. Sufficient.
(2) y < 125 --> 0.8y<0.8*125=100 --> x<0.8y<100. Sufficient.

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Re: If x is less than 80 percent of y, is x less than 100 ? (1)  [#permalink]

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17 Oct 2013, 08:04
rxs0005 wrote:
If x is less than 80 percent of y, is x less than 100 ?

(1) x = y - 24
(2) y < 125

Hey all, nice question. Let's tackle it, shall we?

From quesiton stem first, is x<100?
x<4/5y

So from Statement 1 first
x = y-24 ---> y = x+24.
Replace in equation above 5x < 4x (x+24) ---> x<96
Sufficient

Now, Statement 2
y<125
So 4y<500
Now from original equation if x<4/5y, then 5x<4y
So now we have that 5x<4y<500
So 5x<500
x<100

Sufficient

Kudos if you like
Cheers!
J
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Joined: 09 Sep 2013
Posts: 7728
Re: If x is less than 80 percent of y, is x less than 100 ? (1)  [#permalink]

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12 Dec 2017, 05:58
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Re: If x is less than 80 percent of y, is x less than 100 ? (1) &nbs [#permalink] 12 Dec 2017, 05:58
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