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

It is currently 17 Nov 2018, 18:00

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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • FREE Quant Workshop by e-GMAT!

     November 18, 2018

     November 18, 2018

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score. November 18th, 7 AM PST
  • How to QUICKLY Solve GMAT Questions - GMAT Club Chat

     November 20, 2018

     November 20, 2018

     09:00 AM PST

     10:00 AM PST

    The reward for signing up with the registration form and attending the chat is: 6 free examPAL quizzes to practice your new skills after the chat.

Jennifer has 40% more stamps than Peter. However, if she gives 45 of

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50623
Jennifer has 40% more stamps than Peter. However, if she gives 45 of  [#permalink]

Show Tags

New post 16 May 2018, 03:46
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

57% (02:48) correct 43% (03:09) wrong based on 71 sessions

HideShow timer Statistics

Jennifer has 40% more stamps than Peter. However, if she gives 45 of her stamps to Peter, then Peter will have 10% more stamps than Jennifer. How many stamps did Jennifer begin with?

(A) 140

(B) 175

(C) 200

(D) 220

(E) 245

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

CEO
CEO
User avatar
P
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2700
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: Jennifer has 40% more stamps than Peter. However, if she gives 45 of  [#permalink]

Show Tags

New post 16 May 2018, 05:03
Bunuel wrote:
Jennifer has 40% more stamps than Peter. However, if she gives 45 of her stamps to Peter, then Peter will have 10% more stamps than Jennifer. How many stamps did Jennifer begin with?

(A) 140

(B) 175

(C) 200

(D) 220

(E) 245


If Peter, P = x
Jeniffer, J = 1.4x

After giving 45% of her stamps,

Jeniffer = 1.4x-45
Peter = x+45

Now Peter = 1.1 Jeniffer

i.e. x+45 = 1.1*(1.4x-45)

i.w. x+45 = 1.54x - 49.5

i.e. 0.54x = 94.5

i.e. x = 175

So Jeniffer in beginning = 1.4x = 245

Answer: Option E
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: Jennifer has 40% more stamps than Peter. However, if she gives 45 of  [#permalink]

Show Tags

New post 17 May 2018, 17:00
Bunuel wrote:
Jennifer has 40% more stamps than Peter. However, if she gives 45 of her stamps to Peter, then Peter will have 10% more stamps than Jennifer. How many stamps did Jennifer begin with?

(A) 140

(B) 175

(C) 200

(D) 220

(E) 245


We can let Peter’s stamps = p and Jennifer’s stamps = 1.4p. If Peter is given 45 stamps from Jennifer, he will have (p + 45) stamps, and Jennifer will have (1.4p - 45) stamps.

We can create the equation:

1.1(1.4p - 45) = p + 45

1.54p - 49.5 = p + 45

0.54p = 94.5

p = 175

So Jennifer initially had 175 x 1.4 = 245 stamps.

Answer: E
_________________

Jeffery Miller
Head of GMAT Instruction

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

Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 2104
Premium Member CAT Tests
Jennifer has 40% more stamps than Peter. However, if she gives 45 of  [#permalink]

Show Tags

New post 17 May 2018, 18:19
Bunuel wrote:
Jennifer has 40% more stamps than Peter. However, if she gives 45 of her stamps to Peter, then Peter will have 10% more stamps than Jennifer. How many stamps did Jennifer begin with?

(A) 140

(B) 175

(C) 200

(D) 220

(E) 245

Using answer choices is quick. Steps:
1) Start: J has 40% more than P. (J = 1.4P)
2) P, start #? Find from #1
3) Then J, end: (J - 45)
4) And P, end: (P + 45)
5) At the end, does P have 10% more = 1.1J?

One more step. To begin, J = 1.4P. There is a factor of 7, which often is not a "nice" number.
Convert: \(1.4=\frac{14}{10}=\frac{7}{5}\)
Start: \(J=\frac{7}{5}P\) which means that \(P=\frac{5}{7}J\)

To find a benchmark, start with (C)
J, start: 200
P, start: \(\frac{5}{7}J\)
P, start: \(\frac{5}{7}*(200)\)
STOP. 200 is not divisible by 7
J's original # of stamps must be divisible by 7

Eliminate C and D Not divisible by 7. Other options? Quick math: (A) 140 = (7 * 20).
(B) 175 = (7 * 25). (E) 245 = (7 * 35) Keep all

Lower and upper limits are A and E. Test one of them. C was no help

Try (A) 140
J, start: 140
P start: \(P=(\frac{5}{7}*J)=(\frac{5}{7}*140)=100=P\)
P start: 100
J, final: (140 - 45) = 95
P, final: (100 + 45) = 145

Does P now have "10% more than J" = \(1.1J\)?
\(\frac{P}{J}=\frac{145}{95}\approx\frac{150}{100}\approx{\frac{3}{2}}=1.5\)
REJECT

\(P\approx1.5J\) is much greater than \(P=1.1J\)

J's original # must be greater so that (J - 45) has a smaller impact. Increase J's base by a lot

E) 245
P, start: \(\frac{5}{7}J=P\)
P, start: \(\frac{5}{7}*(200)=175\)
J, final: (245 - 45) = 200
P, final: (175 + 45) = 220

Is P now equal to 1.1 J?
\(\frac{P}{J}=\frac{220}{200}=\frac{11}{10}=1.1\)

That's a match.

Answer E
Manager
Manager
avatar
B
Joined: 29 Jul 2018
Posts: 89
Concentration: Finance, Statistics
GMAT ToolKit User CAT Tests
Re: Jennifer has 40% more stamps than Peter. However, if she gives 45 of  [#permalink]

Show Tags

New post 17 Sep 2018, 01:54
since j = 7/5 p
p = 5/7 j
so options has to be multiple of 7 so 2 options are rejected check rest 3 options
GMAT Club Bot
Re: Jennifer has 40% more stamps than Peter. However, if she gives 45 of &nbs [#permalink] 17 Sep 2018, 01:54
Display posts from previous: Sort by

Jennifer has 40% more stamps than Peter. However, if she gives 45 of

  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®.