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

 It is currently 20 Feb 2019, 09:52

### 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

## Events & Promotions

###### Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### Free GMAT Prep Hour

February 20, 2019

February 20, 2019

08:00 PM EST

09:00 PM EST

Strategies and techniques for approaching featured GMAT topics. Wednesday, February 20th at 8 PM EST
• ### Online GMAT boot camp for FREE

February 21, 2019

February 21, 2019

10:00 PM PST

11:00 PM PST

Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.

# If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what pe

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 53020
If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what pe  [#permalink]

### Show Tags

05 Feb 2019, 03:46
00:00

Difficulty:

75% (hard)

Question Stats:

37% (02:17) correct 63% (03:01) wrong based on 30 sessions

### HideShow timer Statistics

If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what percent of 20a?

A. 0.625
B. 6.25
C. 62.5
D. 625
E. 6250

_________________
SVP
Joined: 18 Aug 2017
Posts: 1882
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what pe  [#permalink]

### Show Tags

05 Feb 2019, 04:37
Bunuel wrote:
If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what percent of 20a?

A. 0.625
B. 6.25
C. 62.5
D. 625
E. 6250

a=0.6b
b=0.4c
c=0.2d
a=0.6*.4*.2d
a=.048d

6d=x*20*a
6d=.01x*20 * 0.048d
.01x= 6.25
x=625
IMO D
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

Senior Manager
Joined: 28 Jul 2016
Posts: 250
Location: India
Concentration: Finance, Human Resources
GPA: 3.97
Re: If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what pe  [#permalink]

### Show Tags

05 Feb 2019, 21:15
a=.6b, b=.4c, c=.2d
thus a =.6*.4*.2 d
a= 0.048d
20a = .96d
now 6d = x* 20a
x = 6/(.96)
x = 625
hence answer D
_________________

Please give Kudos. Kudos encourage active discussions and help the community grow

VP
Joined: 31 Oct 2013
Posts: 1138
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what pe  [#permalink]

### Show Tags

06 Feb 2019, 01:01
Bunuel wrote:
If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what percent of 20a?

A. 0.625
B. 6.25
C. 62.5
D. 625
E. 6250

d = 100

c = 20

b = 8

a = 4.8

(6d / 20a)*100

(600 / 4.8 * 20 )*100

(600 / 96 )*100

600 / 96 = 6.25

6.25 * 100 = 625.

D is the correct answer.
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4938
Location: United States (CA)
Re: If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what pe  [#permalink]

### Show Tags

08 Feb 2019, 07:29
Bunuel wrote:
If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what percent of 20a?

A. 0.625
B. 6.25
C. 62.5
D. 625
E. 6250

We can create the equations:

a = 0.6b

And

b = 0.4c

and

c = 0.2d

Therefore, we have b = 0.4(0.2d) = 0.08d, and hence a = 0.6(0.08d) = 0.048d.

So 20a = 20(0.048d) = 0.96d, and 6d is:

6d/(0.96d) x 100 = 6/0.96 x 100 = 600/96 x 100 = 625 percent of 20a

Answer: D
_________________

Scott Woodbury-Stewart
Founder and CEO

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

Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4387
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
Re: If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what pe  [#permalink]

### Show Tags

08 Feb 2019, 07:49
Bunuel wrote:
If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what percent of 20a?

A. 0.625
B. 6.25
C. 62.5
D. 625
E. 6250

Let, $$d = 1000$$

So, $$c = 200$$ ; $$b = 80$$ & $$a = 48$$

Thus, $$6d = 6000$$ & $$20a = 960$$

Then, $$6d$$ is what percent of $$20a$$ = $$\frac{6000}{960}*100 = 625$$ Answer must be (D)
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Re: If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what pe   [#permalink] 08 Feb 2019, 07:49
Display posts from previous: Sort by

# If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what pe

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

 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®.