GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 23 Feb 2019, 15:19

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
  • FREE Quant Workshop by e-GMAT!

     February 24, 2019

     February 24, 2019

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.
  • Free GMAT RC Webinar

     February 23, 2019

     February 23, 2019

     07:00 AM PST

     09:00 AM PST

    Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT

10,000 percent of 500 percent of 20 percent less than some positive

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Manager
Manager
User avatar
P
Joined: 25 Sep 2018
Posts: 190
Location: United States (CA)
Concentration: Finance, Strategy
GMAT 1: 640 Q47 V30
GPA: 3.97
WE: Investment Banking (Investment Banking)
CAT Tests
10,000 percent of 500 percent of 20 percent less than some positive  [#permalink]

Show Tags

New post 08 Oct 2018, 12:27
1
2
00:00
A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

37% (02:37) correct 63% (02:30) wrong based on 25 sessions

HideShow timer Statistics

10,000 percent of 500 percent of 20 percent less than some positive integer is what percent greater than 400 percent of 20 percent of 10 percent of that positive integer?
A) 499,900 percent
B) 49,990 percent
C) 4,999 percent
D) 499.9 percent
E) 49.99 percent

_________________

Why do we fall?...So we can learn to pick ourselves up again



If you like the post, give it a KUDOS!

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7335
Premium Member Reviews Badge
Re: 10,000 percent of 500 percent of 20 percent less than some positive  [#permalink]

Show Tags

New post 08 Oct 2018, 18:20
1
Abhi077 wrote:
10,000 percent of 500 percent of 20 percent less than some positive integer is what percent greater than 400 percent of 20 percent of 10 percent of that positive integer?
A) 499,900 percent
B) 49,990 percent
C) 4,999 percent
D) 499.9 percent
E) 49.99 percent



10,000 percent of 500 percent of 20 percent less than some positive integer= (10000/100)*(500/100)*(80/100)*a = 100*5*0.8a=400a
is what percent greater than
400 percent of 20 percent of 10 percent of that positive integer= (400/100)*(20/100)*(10/100)*a=4*0.2*0.1=0.08a
So 100*(400a-0.08a)/0.08a=100(40000a-8a)/8a=100(5000-1)=100*4999=499900%

A
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html


GMAT Expert

Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4972
Location: United States (CA)
Re: 10,000 percent of 500 percent of 20 percent less than some positive  [#permalink]

Show Tags

New post 10 Oct 2018, 17:45
Abhi077 wrote:
10,000 percent of 500 percent of 20 percent less than some positive integer is what percent greater than 400 percent of 20 percent of 10 percent of that positive integer?
A) 499,900 percent
B) 49,990 percent
C) 4,999 percent
D) 499.9 percent
E) 49.99 percent


Let’s let n = the positive integer; we see that 10,000 percent of 500 percent of 20 percent less than some positive integer is:

10,000/100 * 500/100 * 80/100 * n = 100 * 5 * 4/5 * n = 400n

So we need to determine 400n is what percent greater than 400 percent of 20 percent of 10 percent of that integer, so we have:

400/100 * 20/100 * 10/100 * n = 4 * 1/5 * 1/10 * n = 4n/50 = 2n/25

Now we can determine 400n is what percent greater than 2n/25:

(400n - 2n/25)/(2n/25) * 100

Multiplying by 25/25 we have:

(10,000n - 2n)/2n * 100

9,998/2 * 100 = 499,900 percent

Answer: A
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

GMAT Club Bot
Re: 10,000 percent of 500 percent of 20 percent less than some positive   [#permalink] 10 Oct 2018, 17:45
Display posts from previous: Sort by

10,000 percent of 500 percent of 20 percent less than some positive

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.