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

It is currently 19 Jun 2018, 14:40

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

Events & Promotions in June
Open Detailed Calendar

A large auto concern that employs 1,000 workers pays each of these wor

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46167
A large auto concern that employs 1,000 workers pays each of these wor [#permalink]

Show Tags

New post 22 Jan 2018, 01:28
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

55% (03:00) correct 45% (03:29) wrong based on 20 sessions

HideShow timer Statistics

A large auto concern that employs 1,000 workers pays each of these workers $4 per hour for the first 40 hours worked during a week and x percent more than that rate for hours worked in excess of 40. If the total payroll for the workers at the end of a week in which 40 percent of them worked 20 hours, 30 percent worked 40 hours, and the rest worked 60 hours is $156,800, what is x?

A. 10 percent
B. 20 percent
C. 25 percent
D. 40 percent
E. 50 percent

_________________

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

Expert Post
SVP
SVP
User avatar
P
Joined: 08 Jul 2010
Posts: 2114
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: A large auto concern that employs 1,000 workers pays each of these wor [#permalink]

Show Tags

New post 22 Jan 2018, 05:27
Bunuel wrote:
A large auto concern that employs 1,000 workers pays each of these workers $4 per hour for the first 40 hours worked during a week and x percent more than that rate for hours worked in excess of 40. If the total payroll for the workers at the end of a week in which 40 percent of them worked 20 hours, 30 percent worked 40 hours, and the rest worked 60 hours is $156,800, what is x?

A. 10 percent
B. 20 percent
C. 25 percent
D. 40 percent
E. 50 percent


40 percent of them worked 20 hours
i.e. 400 employees worked for 20 hours each
i.e. their remuneration = $4*20 = $80 each each employee
i.e. Total Remuneration = $80*400 = $32000


30 percent of them worked 40 hours
i.e. 300 employees worked for 40 hours each
i.e. their remuneration = $4*40 = $160 each employee
i.e. Total Remuneration = $160*300 = $48000

Rest 30 percent of them worked 60 hours
i.e. 300 employees worked for 60 hours each
i.e. their remuneration = $4*40+(4+4*x/100)*20 = $160+80+(4x/5) each employee
i.e. Total Remuneration = $[240+(4x/5)]*300 = $72000+240x


Total of all = $32000 +$48000+$72000+240x = $156,800

i.e. x = 20


ANswer: Option B
_________________

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

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

Intern
Intern
avatar
B
Joined: 27 Jan 2017
Posts: 23
Re: A large auto concern that employs 1,000 workers pays each of these wor [#permalink]

Show Tags

New post 22 Jan 2018, 08:30
Bunuel wrote:
A large auto concern that employs 1,000 workers pays each of these workers $4 per hour for the first 40 hours worked during a week and x percent more than that rate for hours worked in excess of 40. If the total payroll for the workers at the end of a week in which 40 percent of them worked 20 hours, 30 percent worked 40 hours, and the rest worked 60 hours is $156,800, what is x?

A. 10 percent
B. 20 percent
C. 25 percent
D. 40 percent
E. 50 percent


IMO: B

As per the question
workers hours worked
400 (40%) 20
300 (30%) 40
300 (rest 30%) 60

thus total amount = [400 * 20 * 4] + [300 *40 *4] + {300 [(40 *4) + 20 *(4 + 4x/100)]}
Since for 300 workers who worked for 60 hours, they got 4$ / hour for 40 hours and (4 + 4x/100)$ for next 20 hours

Total amount is given as 156,800$ so we can solve for x

x = 20%

What is the correct answer?
1 KUDOS received
Senior Manager
Senior Manager
avatar
G
Joined: 31 Jul 2017
Posts: 368
Location: Malaysia
WE: Consulting (Energy and Utilities)
Re: A large auto concern that employs 1,000 workers pays each of these wor [#permalink]

Show Tags

New post 22 Jan 2018, 08:57
1
Bunuel wrote:
A large auto concern that employs 1,000 workers pays each of these workers $4 per hour for the first 40 hours worked during a week and x percent more than that rate for hours worked in excess of 40. If the total payroll for the workers at the end of a week in which 40 percent of them worked 20 hours, 30 percent worked 40 hours, and the rest worked 60 hours is $156,800, what is x?

A. 10 percent
B. 20 percent
C. 25 percent
D. 40 percent
E. 50 percent


As per the question the equation can be written as \(400(4)(20) + 300(40)(4) + 300(40)(4) + 300(20)(40)(1+\frac{x}{100}) = 156,800\)

Solving we get \(x = 20%\)
_________________

If my Post helps you in Gaining Knowledge, Help me with KUDOS.. !!

Expert Post
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2570
Re: A large auto concern that employs 1,000 workers pays each of these wor [#permalink]

Show Tags

New post 23 Jan 2018, 08:54
Bunuel wrote:
A large auto concern that employs 1,000 workers pays each of these workers $4 per hour for the first 40 hours worked during a week and x percent more than that rate for hours worked in excess of 40. If the total payroll for the workers at the end of a week in which 40 percent of them worked 20 hours, 30 percent worked 40 hours, and the rest worked 60 hours is $156,800, what is x?

A. 10 percent
B. 20 percent
C. 25 percent
D. 40 percent
E. 50 percent


We see that 400 workers worked 20 hours, 300 worked 40 hours and 300 worked 60 hours. We can calculate the total payroll as:

(400 * 4 * 20) + (300 * 4 * 40) + [300 * 4 * 40 + 300 * 4 * 20 * (1 + x/100)] = 156,800

32,000 + 48,000 + 48,000 + 24,000(1 + x/100) = 156,800

128,000 + 24,000 + 240x = 156,800

240x = 4800

x = 20

Answer: B
_________________

Jeffery Miller
Head of GMAT Instruction

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

Re: A large auto concern that employs 1,000 workers pays each of these wor   [#permalink] 23 Jan 2018, 08:54
Display posts from previous: Sort by

A large auto concern that employs 1,000 workers pays each of these wor

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


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®.