Author 
Message 
TAGS:

Hide Tags

Current Student
Status: Persevere
Joined: 09 Jan 2016
Posts: 114
Location: Hong Kong
GPA: 3.52

If 3/(10^4) = x%, then x =
[#permalink]
Show Tags
27 May 2016, 05:02
Question Stats:
70% (00:37) correct 30% (00:45) wrong based on 1034 sessions
HideShow timer Statistics
If \(\frac{3}{10^4}\) = x%, then x = (A) 0.3 (B) 0.03 (C) 0.003 (D) 0.0003 (E) 0.00003
Official Answer and Stats are available only to registered users. Register/ Login.



Manager
Joined: 18 Jan 2010
Posts: 238

Re: If 3/(10^4) = x%, then x =
[#permalink]
Show Tags
27 May 2016, 05:35
nalinnair wrote: If \(\frac{3}{10^4}\) = x%, then x =
(A) 0.3 (B) 0.03 (C) 0.003 (D) 0.0003 (E) 0.00003 \(\frac{3}{10^4}\) = x% \(\frac{x}{100}\) = \(\frac{3}{10000}\) x = \(\frac{3}{100}\) = 0.03Option B is correct answer.



GMAT Club Legend
Joined: 12 Sep 2015
Posts: 4145
Location: Canada

Re: If 3/(10^4) = x%, then x =
[#permalink]
Show Tags
30 Nov 2016, 13:52
nalinnair wrote: If \(\frac{3}{10^4}\) = x%, then x =
(A) 0.3 (B) 0.03 (C) 0.003 (D) 0.0003 (E) 0.00003 Key Concepts: #1) We can create equivalent fractions by multiplying or dividing numerator and denominator by the same value. #2) p/100 = p%. For example, 19/100 = 19% \(\frac{3}{10^4}\) = \(\frac{3}{10000}\) Divide numerator and denominator by 100 to get: = \(\frac{0.03}{100}\) = 0.03% Answer:
_________________
Test confidently with gmatprepnow.com



Manager
Joined: 03 Oct 2013
Posts: 76

Re: If 3/(10^4) = x%, then x =
[#permalink]
Show Tags
30 Nov 2016, 14:07
3/(10^4) = x/100....Solve for x



Intern
Joined: 17 Aug 2016
Posts: 7

Re: If 3/(10^4) = x%, then x =
[#permalink]
Show Tags
12 Dec 2016, 15:31
Guys, I'm really confused and here is the origin of my confusion OG Thought: X%= (x/100) or 19%= (19/100) My thought: X%= (x/ 100) * 100 or 19%= (19/100) * 100 or 19%= .19 * 100 or otherwords, 19/100 doesn't equal 19%, but rather .19. Only when you multiply .19 by 100 does it equal 19% I swear I'm not trying to be stubborn, maybe my definitional perspective of the question statement if off Please help!



Math Expert
Joined: 02 Sep 2009
Posts: 59712

Re: If 3/(10^4) = x%, then x =
[#permalink]
Show Tags
13 Dec 2016, 01:51
SonofaSaracen wrote: Guys, I'm really confused and here is the origin of my confusion OG Thought: X%= (x/100) or 19%= (19/100) My thought: X%= (x/ 100) * 100 or 19%= (19/100) * 100 or 19%= .19 * 100 or otherwords, 19/100 doesn't equal 19%, but rather .19. Only when you multiply .19 by 100 does it equal 19% I swear I'm not trying to be stubborn, maybe my definitional perspective of the question statement if off Please help! OG is right. A percentage is a way of expressing a number as a fraction of 100 (per cent meaning "per hundred"). It is often denoted using the percent sign, "%", or the abbreviation "pct". Since a percent is an amount per 100, percents can be represented as fractions with a denominator of 100. For example, 25% means 25 per 100, 25/100 and 350% means 350 per 100, 350/100. Check Percents chapter here: mathnumbertheory88376.html
_________________



Manager
Joined: 02 Nov 2013
Posts: 67
Location: India

Re: If 3/(10^4) = x%, then x =
[#permalink]
Show Tags
13 Dec 2016, 02:50
By definition itself, percentage is nothing but amount in each hundred. i.e. 20% mean 20/100 = 0.2 In the equation, 3/10^4 = 0.0003 which is X%. Let's back calculate as I mentioned. What value of X will the equation will give 0.0003.
X% = 0.0003, i.e. X = 0.03. Answer is B.



Manager
Joined: 21 Jun 2017
Posts: 82

Re: If 3/(10^4) = x%, then x =
[#permalink]
Show Tags
23 Aug 2017, 18:13
The key concept for this question is direction of moving decimal places.
Take the numerator 3. , and move the decimal place four places to the left, for you are dividing by 10^4, meaning the numerator will become small by 4 places, which is the number in the exponent.
After moving the decimal four places left, you get 3.0 > 0.0003
Now, with 0.0003 you move the decimal two places to the right, because you are multiplying by 100 (i.e. the percent) Since you are multiplying a decimal by a whole number, the value of the decimal becomes larger, hence, 0.0003 x 100  move decimal two to right > 0.03 = x
Therefore, the answer is (B) 0.03



Senior SC Moderator
Joined: 22 May 2016
Posts: 3747

If 3/(10^4) = x%, then x =
[#permalink]
Show Tags
23 Aug 2017, 18:41
nalinnair wrote: If \(\frac{3}{10^4}\) = x%, then x =
(A) 0.3 (B) 0.03 (C) 0.003 (D) 0.0003 (E) 0.00003 \(\frac{3}{10^4}\) = \(\frac{x}{100}\) \(3 * 10^2 = x * 10^4\) \(\frac{3 * 10^2}{10^4} = x\) \(3 * (10^{24}) = x\) \(3 * 10^{2} = x\) \(.03 = x\) Answer B
_________________
SC Butler has resumed! Get two SC questions to practice, whose links you can find by date, here.Never doubt that a small group of thoughtful, committed citizens can change the world; indeed, it's the only thing that ever has  Margaret Mead



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8680
Location: United States (CA)

Re: If 3/(10^4) = x%, then x =
[#permalink]
Show Tags
27 Jan 2019, 19:43
nalinnair wrote: If \(\frac{3}{10^4}\) = x%, then x =
(A) 0.3 (B) 0.03 (C) 0.003 (D) 0.0003 (E) 0.00003 Let’s reexpress x% as x/100. Simplifying the equation, we have: 3/10^4 = x/100 300 = x * 10^4 x = 300/10^4 x = 300/10,000 = 3/100 = 0.03 Answer: B
_________________
5star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button.




Re: If 3/(10^4) = x%, then x =
[#permalink]
27 Jan 2019, 19:43






