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# X is what percent greater than Y percent of Z?

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Intern
Joined: 27 Mar 2012
Posts: 15
X is what percent greater than Y percent of Z?  [#permalink]

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Updated on: 26 Apr 2012, 02:06
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100% (00:00) correct 0% (00:00) wrong based on 7 sessions

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X is what percent greater than Y percent of Z?

Originally posted by sugu86 on 26 Apr 2012, 00:42.
Last edited by Bunuel on 26 Apr 2012, 02:06, edited 1 time in total.
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Re: X is wat percent greater than Y percent of Z ?  [#permalink]

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26 Apr 2012, 00:56
sugu86 wrote:
Hi Guys,

X is wat percent greater than Y percent of Z ? How can this be expressed ?

Thanks,

Suganth

$$[X/(YZ/100)]-1$$
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Joined: 02 Sep 2009
Posts: 53801
Re: X is wat percent greater than Y percent of Z ?  [#permalink]

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26 Apr 2012, 02:05
sugu86 wrote:
Hi Guys,

X is wat percent greater than Y percent of Z ? How can this be expressed ?

Thanks,

Suganth

X is what percent greater than Y percent of Z?

Y percent of Z is $$\frac{y}{100}*z=\frac{yz}{100}$$;

X is what percent greater than that number can be expressed as: $$x=(1+\frac{?}{100})*\frac{yz}{100}$$ --> $$?=(\frac{100x}{yz}-1)*100=\frac{10,000x-100yz}{yz}$$.
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Re: X is what percent greater than Y percent of Z?  [#permalink]

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26 Apr 2012, 09:41
2
sugu86 wrote:
X is what percent greater than Y percent of Z?

The question setters sometimes try to confuse you by giving you lots of variables. Try to plug in values to understand what exactly you need.

You see that you have "Y percent of Z".
Let's say Y = 10 and Z = 100 so Y percent of Z is 10% of 100 which is 10. (Try to plug in simple values.)
Next you have "X is what percent greater than..."
Say X = 12.
So the question becomes "12 is what percent greater than 10?"
We know that 12 is 20% greater than 10.

Now, in the options, just put the values of X, Y and Z and see which option gives you 20
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Re: X is what percent greater than Y percent of Z?  [#permalink]

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15 Feb 2019, 20:55
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Re: X is what percent greater than Y percent of Z?   [#permalink] 15 Feb 2019, 20:55
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