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

It is currently 20 Jul 2018, 11:34

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

John invested 1/4 of A dollars in an investment fund, and placed the r

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

Hide Tags

Expert Post
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 5866
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
John invested 1/4 of A dollars in an investment fund, and placed the r  [#permalink]

Show Tags

New post 06 Jul 2018, 01:46
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

71% (02:07) correct 29% (04:35) wrong based on 69 sessions

HideShow timer Statistics

[GMAT math practice question]

John invested \(\frac{1}{4}\) of A dollars in an investment fund, and placed the remaining \(\frac{3}{4}\) of A dollars in a savings account. If he made a 4p% loss on the fund, and a p% profit on the savings account, what was his total profit (or loss), in terms of A and p? (A negative value represents a loss.)

\(A. \frac{–Ap}{400}\)
\(B. 0\)
\(C. \frac{Ap}{400}\)
\(D. \frac{Ap}{200}\)
\(E. \frac{Ap}{100}\)

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Expert Post
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6258
Re: John invested 1/4 of A dollars in an investment fund, and placed the r  [#permalink]

Show Tags

New post 06 Jul 2018, 02:05
MathRevolution wrote:
[GMAT math practice question]

John invested \(\frac{1}{4}\) of A dollars in an investment fund, and placed the remaining \(\frac{3}{4}\) of A dollars in a savings account. If he made a 4p% loss on the fund, and a p% profit on the savings account, what was his total profit (or loss), in terms of A and p? (A negative value represents a loss.)

\(A. \frac{–Ap}{400}\)
\(B. 0\)
\(C. \frac{Ap}{400}\)
\(D. \frac{Ap}{200}\)
\(E. \frac{Ap}{100}\)


Take A as 400, so two parts 1/4 = 100 and 3/4=300...
And let p be 10%
So 4*10=40% loss on 100= 40
10% profit on 300 = 30
So loss =40-30=10

Put in the choices..
A. -Ap/400=-400*10/400=-10

Ans 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


GMAT online Tutor

Senior Manager
Senior Manager
User avatar
G
Status: Asst. Manager
Joined: 01 Oct 2017
Posts: 281
Location: India
Concentration: Operations, Entrepreneurship
GPA: 4
WE: Supply Chain Management (Energy and Utilities)
Premium Member CAT Tests
Re: John invested 1/4 of A dollars in an investment fund, and placed the r  [#permalink]

Show Tags

New post 06 Jul 2018, 03:29
MathRevolution wrote:
[GMAT math practice question]

John invested \(\frac{1}{4}\) of A dollars in an investment fund, and placed the remaining \(\frac{3}{4}\) of A dollars in a savings account. If he made a 4p% loss on the fund, and a p% profit on the savings account, what was his total profit (or loss), in terms of A and p? (A negative value represents a loss.)

\(A. \frac{–Ap}{400}\)
\(B. 0\)
\(C. \frac{Ap}{400}\)
\(D. \frac{Ap}{200}\)
\(E. \frac{Ap}{100}\)


Algebra Approach:-

Head:- Investment--------------------------------------------------Saving

Dollar:- \(\frac{A}{4}\)------------------------------------------------------------------\(\frac{3A}{4}\)
Loss or Profit:- \(\frac{A}{4}*4p%\)----------------------------------------------------------\(\frac{3}{4A}*p%\)
Amount with John
after loss
or profit :-\(\frac{A}{4}\)-\(\frac{4Ap}{400}\)------------------------------------------------------\(\frac{3A}{4}\)*+\(\frac{3Ap}{400}\)

Total profit or loss=(Amount with John after loss or profit)-A=\((\frac{A}{4}-\frac{4Ap}{400}+\frac{3A}{4}+\frac{3Ap}{400})-A\)
=\(A-\frac{Ap}{400}-A\)
=\(\frac{-Ap}{400}\)
Ans. Option (A) Loss case.
_________________

Regards,

PKN

Rise above the storm, you will find sunshine

Expert Post
Manager
Manager
avatar
B
Joined: 04 Aug 2010
Posts: 193
Schools: Dartmouth College
John invested 1/4 of A dollars in an investment fund, and placed the r  [#permalink]

Show Tags

New post 06 Jul 2018, 03:36
MathRevolution wrote:
[GMAT math practice question]

John invested \(\frac{1}{4}\) of A dollars in an investment fund, and placed the remaining \(\frac{3}{4}\) of A dollars in a savings account. If he made a 4p% loss on the fund, and a p% profit on the savings account, what was his total profit (or loss), in terms of A and p? (A negative value represents a loss.)

\(A. \frac{–Ap}{400}\)
\(B. 0\)
\(C. \frac{Ap}{400}\)
\(D. \frac{Ap}{200}\)
\(E. \frac{Ap}{100}\)


Let \(A=40\)

Amount invested in the fund = \(\frac{1}{4} * 40 = 10\)
Since \(4p = 4*10 = 40\), John loses 40% of his investment in the fund:
Loss = \(\frac{40}{100}(10) = -4\)

Amount placed in the savings account = \(40-10=30\)
Since \(p=10\), John earns 10% of the amount placed in the savings account:
Gain = \(\frac{10}{100}(30)= 3\)

Loss + Gain = \(-4+3 = -1\)
The correct answer must be NEGATIVE.


_________________

GMAT and GRE Tutor
Over 1800 followers
Click here to learn more
GMATGuruNY@gmail.com
New York, NY
If you find one of my posts helpful, please take a moment to click on the "Kudos" icon.
Available for tutoring in NYC and long-distance.
For more information, please email me at GMATGuruNY@gmail.com.

Board of Directors
User avatar
G
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3653
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
John invested 1/4 of A dollars in an investment fund, and placed the r  [#permalink]

Show Tags

New post 06 Jul 2018, 08:16
MathRevolution wrote:
John invested \(\frac{1}{4}\) of A dollars in an investment fund, and placed the remaining \(\frac{3}{4}\) of A dollars in a savings account. If he made a 4p% loss on the fund, and a p% profit on the savings account, what was his total profit (or loss), in terms of A and p? (A negative value represents a loss.)

\(A. \frac{–Ap}{400}\)
\(B. 0\)
\(C. \frac{Ap}{400}\)
\(D. \frac{Ap}{200}\)
\(E. \frac{Ap}{100}\)


Profit on Savings fund is \(\frac{3Ap}{400}\)

Loss on the investment fund is \(\frac{p}{100}\)

So, Net profit is \(\frac{3Ap}{400}\) \(-\) \(\frac{p}{100}\)

Or, Net profit is \(\frac{–Ap}{400}\), Answer must be (A)
_________________

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 )

Expert Post
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 5866
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
Re: John invested 1/4 of A dollars in an investment fund, and placed the r  [#permalink]

Show Tags

New post 08 Jul 2018, 04:20
=>
Total profit = profit on investment fund + profit on savings account
\(= (\frac{1}{4})A*(\frac{-4p}{100}) + (\frac{3}{4})A*(\frac{p}{100})\)
\(=-\frac{4Ap}{400} + \frac{3Ap}{400} = \frac{-Ap}{400}\)

Therefore, the answer is A.
Answer: A
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Expert Post
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2679
Re: John invested 1/4 of A dollars in an investment fund, and placed the r  [#permalink]

Show Tags

New post 13 Jul 2018, 14:21
MathRevolution wrote:
[GMAT math practice question]

John invested \(\frac{1}{4}\) of A dollars in an investment fund, and placed the remaining \(\frac{3}{4}\) of A dollars in a savings account. If he made a 4p% loss on the fund, and a p% profit on the savings account, what was his total profit (or loss), in terms of A and p? (A negative value represents a loss.)

\(A. \frac{–Ap}{400}\)
\(B. 0\)
\(C. \frac{Ap}{400}\)
\(D. \frac{Ap}{200}\)
\(E. \frac{Ap}{100}\)


We express p% as p/100 and 4p% as 4p/100. Thus, for the investment fund, he lost A/4 x 4p/100 = Ap/100 dollars. For the savings account, he made 3A/4 x p/100 = 3Ap/400 dollars. Thus his profit (or loss) is:

3Ap/400 - Ap/100 = 3Ap/400 - 4Ap/400 = -Ap/400

Answer: A
_________________

Jeffery Miller
Head of GMAT Instruction

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

Re: John invested 1/4 of A dollars in an investment fund, and placed the r &nbs [#permalink] 13 Jul 2018, 14:21
Display posts from previous: Sort by

John invested 1/4 of A dollars in an investment fund, and placed the r

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

Events & Promotions

PREV
NEXT


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®.