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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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Senior Manager
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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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11 Aug 2019, 09:46
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25% (medium)

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77% (01:22) correct 23% (01:50) wrong based on 44 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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11 Aug 2019, 10:25
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

Option D
Re: If x is y percent of z , is y greater than 100? (1) z/x = 0.8   [#permalink] 11 Aug 2019, 10:25