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6.4 is what percent of 16,000?

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yufenshi
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6.4 is what percent of 16,000? [#permalink] New post   Updated on: 27 Jan 2019, 03:04
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6.4 is what percent of 16,000?

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

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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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B

Originally posted by yufenshi on 23 Nov 2010, 22:50.
Last edited by Bunuel on 27 Jan 2019, 03:04, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: 6.4 is what percent of 16,000? [#permalink] New post   23 Nov 2010, 23:05
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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? [#permalink] New post   24 Nov 2010, 10:07
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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

Answer: 0.04%
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6.4 is what percent of 16,000? [#permalink] New post   24 Nov 2010, 18:57
yufenshi wrote:
6.4 is what percent of 16,000?

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


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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Re: 6.4 is what percent of 16,000? [#permalink] New post   12 Jan 2018, 08:44
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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
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B


Cheers,
Brent
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6.4 is what percent of 16,000? [#permalink] New post   16 Apr 2022, 06:12
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yufenshi wrote:
6.4 is what percent of 16,000?

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

Show Spoiler
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!


The number of people in this thread, including such reliable people as Karishma and Brent, who are pretending that \(0.04 = 0.04\)% ... is shocking.

As has been repeatedly shown, the correct answer here is \(0.04\). Not \(\frac{0.04}{100}\).

Answer B is wrong. \(0.04\)%\( = 0.0004\). This is not correct.

\(0.04\) is correct, and \(0.04 = 4\)%. The correct answer is D.
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Re: 6.4 is what percent of 16,000? [#permalink] New post   03 Jan 2024, 19:41
(4/100) = 4%

Why is this incorrect?
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Re: 6.4 is what percent of 16,000? [#permalink] New post   03 Jan 2024, 23:59
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JakeCocchiarella wrote:
6.4 is what percent of 16,000?

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

(4/100) = 4%

Why is this incorrect?


It's not clear what the rationale behind what you've written is. Also, it seems you haven't studied the solutions offered above in the thread.

'6.4 is what percent of 16,000?' translates to:

6.4 = x/100*16,000, which gives x = 0.04%.

Answer: B
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Re: 6.4 is what percent of 16,000? [#permalink] New post   04 Jan 2024, 08:15
Bunuel - I think that's where I'm getting confused.

Here's where I'm struggling:

6.4 = (x/100)(16,000)

6.4 = 160x

6.4/160 = x

(multiply both numbers by '10')

64/1600 = 4/100

... and as I do this, I realize I'm not following through on the division, which would then convert the final product to .04 (which is 4%)

That's why the answers were confusing... I would imagine that the GMAT wouldn't have the '%' attached to the each of the decimals/answers.

Thank you for clarifying and everything you do for us here 🙂
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Re: 6.4 is what percent of 16,000? [#permalink]
04 Jan 2024, 08:15
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