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

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Bunuel
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If x is y percent of z, is y greater than 100? [#permalink] New post  09 Jun 2020, 01:53
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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
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Re: If x is y percent of z, is y greater than 100? [#permalink] New post  09 Jun 2020, 02:24
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IMO D

A/Q, x * y/100 = z ....(I)

Is y greater than 100?

(1) z/x = 0.8

From (I)
z/x = y/100 => y/100 = 0.8
=> y = 80
y is smaller than 100

Sufficient

(2) x decreased by 20% is equal to z

x - x *20/100 = z
=> x * 0.8 = Z
Comparing this eqn with (I), y/100 =0.8 => y = 80
y is smaller than 100

Sufficient.
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Re: If x is y percent of z, is y greater than 100? [#permalink] New post  09 Jun 2020, 08:51
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Quote:
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


x=y/100*z

(1) sufic
z/x=4/5, z=4x/5;
x=y/100*z, x=y/100*4x/5,
y=500/4

(2) sufic
x4/5=z;
x=y/100*z, x=y/100*4x/5,
y=500/4

Ans (D)
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Re: If x is y percent of z, is y greater than 100? [#permalink] New post  09 Jun 2020, 10:20
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If x is y percent of z, is y greater than 100?
\(x= \frac{y}{100}*z\)
y >100?

(1) \(\frac{z}{x} = 0.8\)
\(x= \frac{y}{100}*z\)
\(\frac{x}{z} = \frac{y}{100}\)
\(\frac{z}{x} = \frac{100}{y} =0.8\)
\(y = \frac{100}{0.8}\)
y>100 YES

SUFFICIENT.

(2) x decreased by 20% is equal to z
0.8x = z. Thus
\(\frac{z}{x} = 0.8 = \frac{100}{y}\)
Again same as statement 1.

SUFFICIENT.
Answer D.
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Re: If x is y percent of z, is y greater than 100? [#permalink] New post  09 Jun 2020, 11:20
D , Imo
If x is y percent of z, is y greater than 100?

x = y z / 100 => y = 100 x / z

so y > 100 will depend on whether x/z >1 ?


(1) z/x = 0.8

--- We can find the value of x / z and answer the question ..
St 1 Sufficient ..

(2) x decreased by 20% is equal to z

0.8x = z .
--- We can find the value of x / z and answer the question ..
St 2 Sufficient ..

Hence D
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Re: If x is y percent of z, is y greater than 100? [#permalink] New post  09 Jun 2020, 20:16
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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

stem: is x>z

1) z=4/5x
x=5/4z = 1.25z
so y=125%
sufficient

2)x-0.2x=z
0.8x=z
same as above
sufficient

Ans D
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Re: If x is y percent of z, is y greater than 100? [#permalink] New post  09 Jun 2020, 21:52
2
Kudos
\(x=\frac{y}{100}(z)\)

Or, \(y=\frac{100x}{z}\)

(1) \(\frac{z}{x} = 0.8\)

\(\frac{x}{z}=\frac{1}{0.8}=1.25\)

So \(y=100*1.25=125\) \((y>100)\)

1 is sufficient

(2) \(x\) decreased by \(20%\) is equal to \(z\)

\(0.8x=z\) or \(x=\frac{z}{0.8}\)

So \(y=\frac{100*\frac{z}{0.8}}{z}=125\) \((y>100)\)

2 is sufficient

Answer is (D)

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Re: If x is y percent of z, is y greater than 100? [#permalink] New post  15 May 2021, 11:13
MayankSingh wrote:
IMO D

A/Q, x * y/100 = z ....(I)

Is y greater than 100?

(1) z/x = 0.8

From (I)
z/x = y/100 => y/100 = 0.8
=> y = 80
y is smaller than 100

Sufficient

(2) x decreased by 20% is equal to z

x - x *20/100 = z
=> x * 0.8 = Z
Comparing this eqn with (I), y/100 =0.8 => y = 80
y is smaller than 100

Sufficient.


This response is incorrect. Y>100 for both
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Re: If x is y percent of z, is y greater than 100? [#permalink] New post  05 Dec 2022, 02:31
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