NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 13:24 It is currently 26 Apr 2024, 13:24
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

The organizers of a fair projected a 25 percent increase in

SORT BY:
Date
Kudos
Tags:
Difficulty: 505-555 Levelx   Percent and Interest Problemsx                        
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92948
Own Kudos [?]: 619229 [37]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
The organizers of a fair projected a 25 percent increase in [#permalink] New post   14 Jan 2014, 01:08
2
Kudos
35
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

81% (01:27) correct 19% (01:36) wrong based on 1455 sessions
Hide Show timer Statistics
The Official Guide For GMAT® Quantitative Review, 2ND Edition

The organizers of a fair projected a 25 percent increase in attendance this year over that of last year, but attendance this year actually decreased by 20 percent. What percent of the projected attendance was the actual attendance?

(A) 45%
(B) 56%
(C) 64%
(D) 75%
(E) 80%

Problem Solving
Question: 38
Category: Arithmetic Percents
Page: 66
Difficulty: 600


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!
ShowHide Answer
Official Answer
C
Most Helpful Reply
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92948
Own Kudos [?]: 619229 [13]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Re: The organizers of a fair projected a 25 percent increase in [#permalink] New post   14 Jan 2014, 01:08
4
Kudos
9
Bookmarks
Expert Reply
SOLUTION

The organizers of a fair projected a 25 percent increase in attendance this year over that of last year, but attendance this year actually decreased by 20 percent. What percent of the projected attendance was the actual attendance?

(A) 45%
(B) 56%
(C) 64%
(D) 75%
(E) 80%

Last year attendance = 100 (assume);
Projected Attendance = 125;
Actual Attendance = 80.

The actual attendance therefore was (Actual)/(Project) = 80/125 *100 = 64$ of the projected attendance.

Answer: C.
General Discussion
User avatar
sanjoo
Senior Manager
Senior Manager
Joined: 06 Aug 2011
Posts: 269
Own Kudos [?]: 596 [1]
Given Kudos: 82
Send PM
Re: The organizers of a fair projected a 25 percent increase in [#permalink] New post   14 Jan 2014, 01:40
1
Kudos
C..

Assume last year attendence ..100====expected increased of 25%========> 125

100..actuall decreased of 20% ==================================>80

actuall/expected... 80/125=====================================16/25==64%...

64% is the ans
User avatar
B
kinjiGC
Director
Director
Joined: 03 Feb 2013
Posts: 797
Own Kudos [?]: 2588 [1]
Given Kudos: 567
Location: India
Concentration: Operations, Strategy
Schools: Tepper '17 (M$) W.P. Carey '17 (A$) NUS '17 (A)
GMAT 1: 760 Q49 V44
GPA: 3.88
WE:Engineering (Computer Software)
Send PM
Reviews Badge
Re: The organizers of a fair projected a 25 percent increase in [#permalink] New post   14 Jan 2014, 09:23
1
Kudos
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

The organizers of a fair projected a 25 percent increase in attendance this year over that of last year, but attendance this year actually decreased by 20 percent. What percent of the projected attendance was the actual attendance?

(A) 45%
(B) 56%
(C) 64%
(D) 75%
(E) 80%



Let "X" be the last year attendance .
Projected attendance = 1.25X
Actual attendance = 0.8X
So .8/1.25 = (4/5)/(5/4) = 16/25 hence 64% - Option C) [% can be calculated faster if we notice 25*4 = 100 so 16/25 = 16*4/25*4 = 64/100 = 64%]
User avatar
nutshell
Manager
Manager
Joined: 21 Mar 2011
Status:GMATting
Posts: 96
Own Kudos [?]: 279 [2]
Given Kudos: 104
Concentration: Strategy, Technology
GMAT 1: 590 Q45 V27
Send PM
GMAT ToolKit User
Re: The organizers of a fair projected a 25 percent increase in [#permalink] New post   14 Jan 2014, 22:22
1
Kudos
1
Bookmarks
Let us assume the last year attendance as 100(easiest number to pick, since all are in percent).
Projected attendance = 25% increase(of 100) = 125
Actual attendance = 20% decrease(of 100) = 80

Actual attendance/Projected attendance = (80/125) = (16/25) = (16*4)/(25*4) = 64/100 = 64%

Ans is (C).
avatar
TroyfontaineMacon
Intern
Intern
Joined: 06 Jan 2014
Posts: 31
Own Kudos [?]: 28 [1]
Given Kudos: 23
Send PM
GMAT ToolKit User
Re: The organizers of a fair projected a 25 percent increase in [#permalink] New post   18 Jan 2014, 23:34
1
Kudos
sanjoo wrote:
C..

Assume last year attendence ..100====expected increased of 25%========> 125

100..actuall decreased of 20% ==================================>80

actuall/expected... 80/125=====================================16/25==64%...

64% is the ans


I took \(\frac{80}{125}\) and reduced it to \(\frac{16}{25}\) and couldn't figure it out past that

sooooo

I made it \(\frac{15}{25}\) and reduced it into \(\frac{3}{5}\) and then multiplied it by two to get \(\frac{6}{10}=60%\)
and since \(16>15\) \(\frac{16}{25}\)>\(60%\)

Answer C was the only logical answer
User avatar
arunspanda
Manager
Manager
Joined: 04 Oct 2013
Posts: 130
Own Kudos [?]: 298 [4]
Given Kudos: 55
Location: India
GMAT Date: 05-23-2015
GPA: 3.45
Send PM
GMAT ToolKit User Reviews Badge
Re: The organizers of a fair projected a 25 percent increase in [#permalink] New post   18 Jan 2014, 23:46
4
Kudos
The organizers of a fair projected a 25 percent increase in attendance this year over that of last year, but attendance this year actually decreased by 20 percent. What percent of the projected attendance was the actual attendance?

(A) 45%
(B) 56%
(C) 64%
(D) 75%
(E) 80%


Projected attendance: \(25 %\) increase \(= \frac{5}{4}\)

Actual attendance : decreased by \(20% = \frac{4}{5}\)

\(\frac{Actual}{Projected} = \frac{4}{5}/\frac{5}{4} = \frac{16}{25} =\frac{64}{100}\) or \(64%\)

Answer: (C)
avatar
TroyfontaineMacon
Intern
Intern
Joined: 06 Jan 2014
Posts: 31
Own Kudos [?]: 28 [1]
Given Kudos: 23
Send PM
GMAT ToolKit User
Re: The organizers of a fair projected a 25 percent increase in [#permalink] New post   19 Jan 2014, 00:28
1
Kudos
arunspanda wrote:
The organizers of a fair projected a 25 percent increase in attendance this year over that of last year, but attendance this year actually decreased by 20 percent. What percent of the projected attendance was the actual attendance?

(A) 45%
(B) 56%
(C) 64%
(D) 75%
(E) 80%


Projected attendance: \(25 %\) increase \(= \frac{5}{4}\)

Actual attendance : decreased by \(20% = \frac{4}{5}\)

\(\frac{Actual}{Projected} = \frac{4}{5}/\frac{5}{4} = \frac{16}{25} =\frac{64}{100}\) or \(64%\)

Answer: (C)


Dude this was awesome :!: Fast, Quick, Clean and thee correct way to do it...awesome job again....
avatar
dheeraj24
Manager
Manager
Joined: 01 Sep 2013
Status:suffer now and live forever as a champion!!!
Posts: 88
Own Kudos [?]: 421 [1]
Given Kudos: 74
Location: India
Dheeraj: Madaraboina
GPA: 3.5
WE:Information Technology (Computer Software)
Send PM
Re: The organizers of a fair projected a 25 percent increase in [#permalink] New post   23 Apr 2014, 03:58
1
Kudos
Let Last year attendance be X;
Then Projected Attendance will be 1.25x ;
Actual attendance will be 0.8x;
Question is asking us 0.8x is what percent of 1.25x ?

0.8x/1.25x = Y/100;

y=64 %;
avatar
unceldolan
Manager
Manager
Joined: 21 Oct 2013
Posts: 154
Own Kudos [?]: 212 [1]
Given Kudos: 19
Location: Germany
Schools: Owen '17 (A$) Sauder '17 (A$) Schulich '17 (WD) Anderson FEMBA '17 (S) McDonough '17 (A) Desautels '17 (S)
GMAT 1: 660 Q45 V36
GPA: 3.51
Send PM
Re: The organizers of a fair projected a 25 percent increase in [#permalink] New post   20 Jun 2014, 01:27
1
Kudos
Let's pick smart numbers:

Last year's attendance: 100
projected attendance this year: 125 (+25%)
actual attendance this year : 80 (-20 %)
80/125 = 16/25 = 64/100 = 64 %. C.
avatar
damybox
Intern
Intern
Joined: 18 Sep 2016
Posts: 38
Own Kudos [?]: 38 [0]
Given Kudos: 97
Send PM
Re: The organizers of a fair projected a 25 percent increase in [#permalink] New post   28 Sep 2016, 02:25
we can use a smart number to solve this problem quickly.

let's say the actual attendance was 100 at the beginning.
it easy to find that the projected attendence was 125, whereas the actual attendance was 80.

\(\frac{80}{125}\)=64%

answer C
avatar
B
Ndkms
Intern
Intern
Joined: 09 Aug 2016
Posts: 42
Own Kudos [?]: 66 [0]
Given Kudos: 8
Send PM
The organizers of a fair projected a 25 percent increase in [#permalink] New post   08 Jan 2017, 06:24
From MGMAT

Questions with "What is X percent of Y" translates to

"What" translates to " Unknown "
"is" translates to " = "
"X" translates to " X "
"percent" translates to " /100 "
"of" translates to multiplication sign " * "
"Y" translates to "Y"

Hence Unknown = (X/100) * Y

Use the same logic and Smart Numbers in order to decode the question and generate the formula. You should end up with

Actual = X/100 Projected ... Plug the numbers and solve with respect to X. The answer should be C
User avatar
S
diegocml
Manager
Manager
Joined: 22 Apr 2016
Status:On a 600-long battle
Posts: 123
Own Kudos [?]: 102 [0]
Given Kudos: 392
Location: Hungary
Concentration: Accounting, Leadership
Schools: Erasmus '19
GMAT 1: 410 Q18 V27
GMAT 2: 490 Q35 V23
Send PM
GMAT ToolKit User
Re: The organizers of a fair projected a 25 percent increase in [#permalink] New post   13 Apr 2017, 23:50
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

The organizers of a fair projected a 25 percent increase in attendance this year over that of last year, but attendance this year actually decreased by 20 percent. What percent of the projected attendance was the actual attendance?

(A) 45%
(B) 56%
(C) 64%
(D) 75%
(E) 80%


Say '\(x\)' is your total attendance last year.
Projected attendance: \(\cfrac { 5 }{ 4 } x\)
Actual attendance: \(\cfrac { 4 }{ 5 } x\)
'\(z\)' is the 'What percent of the projected attendance the actual attendance was'

\(\cfrac { z }{ 100 } \left( \cfrac { 5 }{ 4 } \right) x=\cfrac { 4 }{ 5 } x\\ \left( \cfrac { z }{ 100 } \left( \cfrac { 5 }{ 4 } \right) x=\cfrac { 4 }{ 5 } x \right) \div x\\ \left( \cfrac { z }{ 100 } \left( \cfrac { 5 }{ 4 } \right) =\cfrac { 4 }{ 5 } \right) \ast \cfrac { 100\ast 4 }{ 5 } \\ z=\cfrac { 16 }{ 25 } \ast 100\\ z=64%\)
User avatar
B
CyberStein
Manager
Manager
Joined: 21 Jun 2017
Posts: 60
Own Kudos [?]: 39 [0]
Given Kudos: 3
Send PM
Re: The organizers of a fair projected a 25 percent increase in [#permalink] New post   07 Oct 2017, 03:19
last year = 75 people
this year = 60 people (20% decrease from last year)

actual= 60
projected=100 (25% increase from 75 is 100)

60/100 = 60

closest answer is 64%; they wanted you to use 100, 125, but, 75 and 100 still work

therefore, ans is (C) 64%
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32689
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: The organizers of a fair projected a 25 percent increase in [#permalink] New post   08 Aug 2023, 02:02
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: The organizers of a fair projected a 25 percent increase in [#permalink]
08 Aug 2023, 02:02
Moderators:
Bunuel
Math Expert
92948 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions