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

It is currently 17 Dec 2018, 03:08

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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • 10 Keys to nail DS and CR questions

     December 17, 2018

     December 17, 2018

     06:00 PM PST

     07:00 PM PST

    Join our live webinar and learn how to approach Data Sufficiency and Critical Reasoning problems, how to identify the best way to solve each question and what most people do wrong.
  • R1 Admission Decisions: Estimated Decision Timelines and Chat Links for Major BSchools

     December 17, 2018

     December 17, 2018

     10:00 PM PST

     11:00 PM PST

    From Dec 5th onward, American programs will start releasing R1 decisions. Chat Rooms: We have also assigned chat rooms for every school so that applicants can stay in touch and exchange information/update during decision period.

Between the first day of May and last day in June, the price per kilog

  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: 51259
Between the first day of May and last day in June, the price per kilog  [#permalink]

Show Tags

New post 05 Jun 2018, 09:31
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

54% (01:49) correct 46% (02:13) wrong based on 57 sessions

HideShow timer Statistics

Between the first day of May and last day in June, the price per kilogram of Melange, a seasoning mix, first declined by 20 percent and then increased by 50 percent. During this same period, the price per liter of Blue, a spring water, first increased by 20 percent and then declined by 50 percent. If at the end of June, the prices were the same, then, at the beginning of May, the price per kilogram for Blue was what percent of the price per liter of Melange?

A. 2
B. 30
C. 50
D. 100
E. 200

_________________

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

e-GMAT Representative
User avatar
D
Joined: 04 Jan 2015
Posts: 2323
Re: Between the first day of May and last day in June, the price per kilog  [#permalink]

Show Tags

New post 05 Jun 2018, 09:50

Solution



Given:
    • The price of Melange first declined by 20% and then increased by 50%
    • The price of Blue water first increased by 20% and then declined by 50%
    • At the end, both the prices are same

To find:
    • At the beginning, price of Blue water was what percent of the price of Melange

Approach and Working:
Assuming the initial price of Melange and Blue water was m and b respectively
    • Price of Melange after two changes = m * 0.8 * 1.5 = 1.2 m
    • Price of Blue water after two changes = b * 1.2 * 0.5 = 0.6 b

Given that, the end prices were same. Therefore,
    • 1.2 m = 0.6 b
    Or, \(\frac{b}{m} = \frac{1.2}{0.6} = 2\)
    Or, \(\frac{b}{m} * 100 = 2 * 100 = 200%\)

Hence, the correct answer is option E.

Answer: E
_________________








Register for free sessions
Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13100
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: Between the first day of May and last day in June, the price per kilog  [#permalink]

Show Tags

New post 27 Nov 2018, 21:58
Hi All,

We're told that a between the first day of May and last day in June, the price per kilogram of Melange, a seasoning mix, first DECLINED by 20 percent and then INCREASED by 50 percent and during this same period, the price per liter of Blue, a spring water, first INCREASED by 20 percent and then DECLINED by 50 percent. We're also told that at the end of June, the prices were the SAME. We're asked, at the beginning of May, the price per kilogram for Blue was what percent of the price per liter of Melange. This question can be solved in a couple of different ways, including by TESTing VALUES and a bit of Arithmetic.

IF... in May...
1 kg of Melange = $100
the 20% decline in price --> $100 - (.2)($100) = 100 - 20 = $80
the 50% increase in price --> $80 + (.5)($80) = 80 + 40 = $120

Using this final price of $120, we can 'work backwards' to figure out the price of Blue in May

Final price of Blue = $120
the 50% decline in price to END at $120 --> (.5)(X) = $120 --> X = $240
the 20% increase to get to $240 --> (1.2Y) = $240 --> Y = $200

In May, the price of 1 kg of Melange = $100 and the price of 1 liter of Blue = $200
200/100 = 2 = 200% the price

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

GMAT Club Bot
Re: Between the first day of May and last day in June, the price per kilog &nbs [#permalink] 27 Nov 2018, 21:58
Display posts from previous: Sort by

Between the first day of May and last day in June, the price per kilog

  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®.