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X Y & Z - data sufficiency nightmare

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jasdhanda
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X Y & Z - data sufficiency nightmare [#permalink] New post   09 Apr 2014, 18:14
Veritas Prep - Book 2 - page 209

61. If x is y percent of z, is y greater than 100?

1) z/x = 0.8
2) x decreased by 20% is equal to z

A B C D E : Data Sufficency
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PerfectScores
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Re: X Y & Z - data sufficiency nightmare [#permalink] New post   09 Apr 2014, 22:02
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jasdhanda wrote:
Veritas Prep - Book 2 - page 209

61. If x is y percent of z, is y greater than 100?

1) z/x = 0.8
2) x decreased by 20% is equal to z

A B C D E : Data Sufficency


x = (y/100)z hence y = 100x/z hence the question is asking is x/z greater than 1?

Statement I is sufficient as it gives us the value of x/z.

Statement II is also sufficient as it gives the same thing as statement I.

Hence the answer is D.
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Gyanendra
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Re: X Y & Z - data sufficiency nightmare [#permalink] New post   12 May 2014, 02:03
Given : x = yz/100 => y= 100(x/z)
Now,
S1: z/x = 8/10 => x/z = 10/8
substitute: y= 100 * 10/8 = 125 >100 (Sufficient)

S2: x- 20x/100 = z => 4x/5 =z => x/z =5/4
substitute: y = 100 * 5/4 => 125 >100 (Sufficient)

Both are independently sufficient. Therefore (D)
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Rishikasaini2807
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Re: X Y & Z - data sufficiency nightmare [#permalink] New post   09 Jun 2020, 02:20
Both statment alone is sufficient.
As statment help us if determining the value of z/x in 4/5 and statement two in x/z is 5/4

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Re: X Y & Z - data sufficiency nightmare [#permalink] New post   17 Jun 2020, 04:07
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jasdhanda wrote:
Veritas Prep - Book 2 - page 209

61. If x is y percent of z, is y greater than 100?

1) z/x = 0.8
2) x decreased by 20% is equal to z

A B C D E : Data Sufficency


Solution:

We are given that x is y percent of z, therefore x, y, and z are related via x = z * (y/100) or, equivalently, y = 100x/z.

Statement One Alone:

z/x = 0.8

Let’s substitute z = 0.8x:

y = 100x/0.8x = 100/0.8 = 125

Statement one alone is sufficient.

Statement Two Alone:

x decreased by 20% is equal to z

This statement translates to 0.8x = z. Proceeding as above, we can again obtain that y = 125.

Statement two alone is sufficient.

Answer: D
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Re: X Y & Z - data sufficiency nightmare [#permalink] New post   17 Jun 2020, 21:43
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Hi All,

For anyone who's interested, this prompt was a recent "Competition Mode" question - and there's a full discussion of this question here:

https://gmatclub.com/forum/if-x-is-y-pe ... 26266.html

GMAT assassins aren't born, they're made,
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Re: X Y & Z - data sufficiency nightmare [#permalink]
17 Jun 2020, 21:43

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