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

It is currently 26 Jun 2019, 11:46

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

How many nails did Rudy buy if he purchased them at a price of $0.25

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

Hide Tags

 
Intern
Intern
avatar
B
Joined: 12 Jan 2019
Posts: 7
How many nails did Rudy buy if he purchased them at a price of $0.25  [#permalink]

Show Tags

New post Updated on: 12 Jan 2019, 03:25
1
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

88% (02:25) correct 12% (02:43) wrong based on 33 sessions

HideShow timer Statistics


How many nails did Rudy buy if he purchased them at a price of $0.25 per four nails, sold them at $0.22 per three nails, and made a profit of $2.60?

A. 300
B. 240
C. 180
D. 160
E. 120

Originally posted by Nums99 on 12 Jan 2019, 01:42.
Last edited by Bunuel on 12 Jan 2019, 03:25, edited 1 time in total.
Renamed the topic, edited the question, moved to PS and added the OA.
Senior Manager
Senior Manager
User avatar
D
Joined: 15 Jan 2018
Posts: 371
Concentration: General Management, Finance
GMAT 1: 720 Q50 V37
Premium Member Reviews Badge
Re: How many nails did Rudy buy if he purchased them at a price of $0.25  [#permalink]

Show Tags

New post 12 Jan 2019, 02:12
1
Hi there,

Here's the solution.

Let the number of nails Rudy purchased be x.

Rudy purchased nails at a price of $0.25 per four nails. So, Cost Price of 4 nails = $0.25
Cost Price of 1 nail = = $0.25/4
Cost price of x nails = ($0.25/4)x

Also given that Rudy sold nails at $0.22 per three nails. So, Selling Price of 3 nails = $0.22
Selling Price of 1 nail = = $0.22/3
Selling price of x nails = ($0.22/3)x


Also, Rudy made a profit of $2.60.
Profit = Selling Price - Cost Price
$2.60 = ($0.22/3)x - ($0.25/4)x = x(0.88 - 0.75)/12
$2.60 = x(0.13)/12
x = 240
Hence, the the number of nails Rudy purchased is 240.

Therefore, the Correct Answer is Option B. 240

_________________
New to GMAT Club or overwhelmed with so many resources? Follow the GMAT Club Study Plan!
Not happy with your GMAT score? Retaking GMAT Strategies!

Game of Timers - Join the Competition to Win Prizes
Senior Manager
Senior Manager
User avatar
D
Status: Manager
Joined: 27 Oct 2018
Posts: 365
Location: Egypt
Concentration: Strategy, International Business
GPA: 3.67
WE: Pharmaceuticals (Health Care)
GMAT ToolKit User
Re: How many nails did Rudy buy if he purchased them at a price of $0.25  [#permalink]

Show Tags

New post 16 Jan 2019, 02:57
Nums99 wrote:
How many nails did Rudy buy if he purchased them at a price of $0.25 per four nails, sold them at $0.22 per three nails, and made a profit of $2.60?

A. 300
B. 240
C. 180
D. 160
E. 120


Profit = Sales - Cost

\(2.6 = \frac{0.22}{3}n - \frac{0.25}{4}n = \frac{0.88n}{12} - \frac{0.75n}{12}\)
\(\frac{13}{5} = \frac{0.13n}{12} = \frac{13n}{1200}\)
\(n = \frac{13*1200}{13*5} = 240\)

B
_________________
RC Moderator
User avatar
V
Joined: 24 Aug 2016
Posts: 802
Location: Canada
Concentration: Entrepreneurship, Operations
GMAT 1: 630 Q48 V28
GMAT 2: 540 Q49 V16
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
Re: How many nails did Rudy buy if he purchased them at a price of $0.25  [#permalink]

Show Tags

New post 16 Jan 2019, 08:15
As we are dealing with two numbers 3 & 4 .... lets take the LCM of them i.e.,12 .
Cost price for 12 nails = $0.25*12/4=$0.75 & Selling price for 12 nails = $0.22*12/3=$0.88
Profit made per 12 nails = $0.88 - $0.75 = $0.13
So total '12 units' sold = $2.60/$0.13 =20
Total nails sold = 20*12 = 240 .... Thus Ans would be option B.
_________________
Please let me know if I am going in wrong direction.
Thanks in appreciation.
Director
Director
User avatar
V
Joined: 12 Feb 2015
Posts: 863
Re: How many nails did Rudy buy if he purchased them at a price of $0.25  [#permalink]

Show Tags

New post 25 Feb 2019, 09:26
Nums99 wrote:
How many nails did Rudy buy if he purchased them at a price of $0.25 per four nails, sold them at $0.22 per three nails, and made a profit of $2.60?

A. 300
B. 240
C. 180
D. 160
E. 120


LCM approach is good in such questions:-

Rudy purchased nails at a price of $0.25 per four nails, or $0.75 per 12 nails

sold them at $0.22 per three nails, or $0.88 per 12 nails

and made a profit of $2.60 (total) or $(0.88-0.75) = $ 0.13 per 12 nails

(2.60 * 12)/0.13 = 240 nails (Ans)
_________________
"Please hit :thumbup: +1 Kudos if you like this post" :student_man:

_________________
Manish :geek:

"Only I can change my life. No one can do it for me"
Director
Director
User avatar
V
Joined: 04 Dec 2015
Posts: 740
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)
GMAT ToolKit User
How many nails did Rudy buy if he purchased them at a price of $0.25  [#permalink]

Show Tags

New post 28 Feb 2019, 11:09
Nums99 wrote:
How many nails did Rudy buy if he purchased them at a price of $0.25 per four nails, sold them at $0.22 per three nails, and made a profit of $2.60?

A. 300
B. 240
C. 180
D. 160
E. 120


Cost Price of \(4\) nails \(= $ 0.25\)

Cost Price of \(3\) nails \(= \frac{0.25*3}{4} = $ 0.1875\)

Selling Price of \(3\) nails \(= $0.22\)

Profit on \(3\) nails \(= 0.22 - 0.1875 = $ 0.0325\)

Let \("x"\) be total number of nails to make profit of \($ 2.60\).

\(\frac{0.0325}{3} = \frac{2.60}{x}\)

\(0.0325*x =3*2.60\)

\(x = \frac{3*2.60}{0.0325} = 240\)

Answer B
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 6680
Location: United States (CA)
Re: How many nails did Rudy buy if he purchased them at a price of $0.25  [#permalink]

Show Tags

New post 02 Mar 2019, 10:08
Nums99 wrote:
How many nails did Rudy buy if he purchased them at a price of $0.25 per four nails, sold them at $0.22 per three nails, and made a profit of $2.60?

A. 300
B. 240
C. 180
D. 160
E. 120


We can let n = the number of nails and create the equation:

(0.22/3)n - (0.25/4)n = 2.6

Multiplying by 12, we have:

0.22 x 4n - 0.25 x 3n = 31.2

0.88n - 0.75n = 31.2

0.13n = 31.2

n = 240

Answer: B
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: How many nails did Rudy buy if he purchased them at a price of $0.25   [#permalink] 02 Mar 2019, 10:08
Display posts from previous: Sort by

How many nails did Rudy buy if he purchased them at a price of $0.25

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


Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne