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# 6.4 is what percent of 16,000? is it asking 6.4 *x%=16000?

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Intern
Joined: 13 Nov 2010
Posts: 21
6.4 is what percent of 16,000? is it asking 6.4 *x%=16000?  [#permalink]

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23 Nov 2010, 21:50
1
6.4 is what percent of 16,000?

i am confused about the notion. does it mean 6.4 *x% = 16000? or 6.4*x=16000? the first x will equal to 100 times the second x.

thanks!
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Joined: 25 Nov 2009
Posts: 40
Location: India
Re: 6.4 is what percent of 16,000? is it asking 6.4 *x%=16000?  [#permalink]

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23 Nov 2010, 21:56
I used 6.4 * x/100 = 16000
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Re: 6.4 is what percent of 16,000? is it asking 6.4 *x%=16000?  [#permalink]

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23 Nov 2010, 22:05
2
Assume a variable. It's saying 6.4 is x% of 16,000.

$$6.4 = \frac{x}{100} * 16,000$$

This means that $$x = \frac{6.4*100}{16000}= \frac{640}{16000} = \frac{8}{200} = 0.04$$

So, 6.4 is 0.04% of 16,000.
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Re: 6.4 is what percent of 16,000? is it asking 6.4 *x%=16000?  [#permalink]

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23 Nov 2010, 22:09
Oh I got confused, A common Gmat-percentage trap.....
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Intern
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Re: 6.4 is what percent of 16,000? is it asking 6.4 *x%=16000?  [#permalink]

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24 Nov 2010, 07:19
6.4 is what percent of 16,000?
0.004%

0.04%
0.4%
4%
4.4%

i am just confused on this expression...
thanks!
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Posts: 8649
Location: Pune, India
Re: 6.4 is what percent of 16,000? is it asking 6.4 *x%=16000?  [#permalink]

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24 Nov 2010, 09:07
2
yufenshi wrote:
6.4 is what percent of 16,000?

i am confused about the notion. does it mean 6.4 *x% = 16000? or 6.4*x=16000? the first x will equal to 100 times the second x.

thanks!

Look at the following structures:
1. a is what percent of b?
2. What percent of a is b?

Rule of thumb1: Where you encounter 'is', there you put '='.
Rule of thumb2: Where they say 'what percent', there you put 'x%' and then find x.

1. a = x% of b = (x/100) * b
2. x% of a = b = (x/100) * b

The question says: 6.4 is what percent of 16,000?
6.4 = x% of 16000
6.4 = (x/100) * 16000
x = 6.4/160 = 0.04

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Re: 6.4 is what percent of 16,000? is it asking 6.4 *x%=16000?  [#permalink]

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24 Nov 2010, 09:11
X=(6.4/16000)*100
=>X=6.4/160
=>X=.04%
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Re: 6.4 is what percent of 16,000? is it asking 6.4 *x%=16000?  [#permalink]

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24 Nov 2010, 17:57
yufenshi wrote:
6.4 is what percent of 16,000?
0.004%

0.04%
0.4%
4%
4.4%

i am just confused on this expression...
thanks!

On this type of question, you can use common sense to double check your answer (and even to solve the question).

Looking at the choices, we see that we're really being tested on where to put the decimal place. Accordingly, we can estimate to solve.

We can quickly determine that 1% of 16000 is 160. Well, 6.4 is considerably less than 160, so 6.4 must be less than 1% of 16000; accordingly, 4% is way too much.

Along the same lines:

.1% of 16000 is 16
.01% of 16000 is 1.6

1.6 < 6.4 < 16, so the correct answer must be between 0.01% and 0.1%... choose (B)!
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Joined: 11 Sep 2015
Posts: 3222
Re: 6.4 is what percent of 16,000? is it asking 6.4 *x%=16000?  [#permalink]

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12 Jan 2018, 07:44
Top Contributor
Here's the full question:

Quote:
6.4 is what percent of 16,000?

A) 0.0004%
B) 0.04%
C) 0.4%
D) 4%
E) 4.4%

10% of 16,000 = 1600
1% of 16,000 = 160
0.1% of 16,000 = 16
0.01% of 16,000 = 1.6

Since 6.4 is BETWEEN 1.6 and 16, we can conclude that the correct answer is BETWEEN 0.01% and 0.1%

0.04% is the only answer choice that is between 0.01% and 0.1%, so the correct answer is

Cheers,
Brent
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Re: 6.4 is what percent of 16,000? is it asking 6.4 *x%=16000? &nbs [#permalink] 12 Jan 2018, 07:44
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