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If x is 0.5% of y, then y is what percent of x?

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GMAT Club Legend
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Joined: 07 Jun 2014
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If x is 0.5% of y, then y is what percent of x? [#permalink] New post 02 Jun 2018, 03:43
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Question Stats:

40% (01:20) correct 60% (00:30) wrong based on 5 sessions
If x is 0.5% of y, then y is what percent of x?

(A) 199%
(B) 200%
(C) 2,000%
(D) 19,900%
(E) 20,000%
[Reveal] Spoiler: OA

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Re: If x is 0.5% of y, then y is what percent of x? [#permalink] New post 05 Jun 2018, 01:28
Can any body explain how to approach such terse questions.
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GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1612 [1] , given: 375

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Re: If x is 0.5% of y, then y is what percent of x? [#permalink] New post 05 Jun 2018, 12:45
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Explanation

x is 0.5% of y. So if you fix a value of \(y\), any value at all, you fix x.

Lets do that, say y=100.

x= 0.5% of y or \(x=\frac{0.5}{100} \times y\)=0.5

Now y is what percent of x part. This is where it get a bit tricky!

Now \(\frac{y}{x}=\frac{100}{0.5}=200\).

Or y is 200 times x. which is 20000%.

Note percent can be broken down as per - cent. Here per means for every (or divided by) and cent means (100).

So for every 100 of x we have \(100 \times 200\) of y.
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Re: If x is 0.5% of y, then y is what percent of x?   [#permalink] 05 Jun 2018, 12:45
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