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If x is y percent of z , is y greater than 100? (1) z/x = 0.8

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If x is y percent of z , is y greater than 100? (1) z/x = 0.8  [#permalink]

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New post 11 Aug 2019, 10:46
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76% (01:06) correct 24% (02:07) wrong based on 17 sessions

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

(1) \(\frac{z}{x}\) = 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? (1) z/x = 0.8  [#permalink]

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New post 11 Aug 2019, 11:25
MikeScarn wrote:
If x is y percent of z , is y greater than 100?

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

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


Given: x= \(\frac{y}{100}\) * z
To find: y>100?

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

Rearranging the main question stem:
\(\frac{z}{x}\)=\(\frac{100}{y}\)
0.8=\(\frac{100}{y}\)
y=125................... SUFFICIENT since y is greater than 100.

(2) x decreased by 20% is equal to z
(1-0.2)x= z
0.8x=z
\(\frac{z}{x}\) = 0.8.........same as statement (1)....................SUFFICIENT

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Re: If x is y percent of z , is y greater than 100? (1) z/x = 0.8   [#permalink] 11 Aug 2019, 11:25
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