NEW HERE? LEARN MORE
closeclose
Last visit was: 15 May 2024, 15:56 It is currently 15 May 2024, 15:56
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

Bino pens can be purchased for $12 per pack of 100, $8 per pack of 50,

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93287
Own Kudos [?]: 624036 [0]
Given Kudos: 81872
Send PM
CAT Tests Forum Quiz Mode
Bino pens can be purchased for $12 per pack of 100, $8 per pack of 50, [#permalink] New post   05 May 2017, 03:24
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

95% (01:53) correct 5% (04:26) wrong based on 45 sessions
Hide Show timer Statistics
Bino pens can be purchased for $12 per pack of 100, $8 per pack of 50, or $0.25 each. What is the greatest number of pens that can be purchased for $57.75?

A. 475
B. 457
C. 439
D. 423
E. 357
ShowHide Answer
Official Answer
B
User avatar
P
amanvermagmat
Retired Moderator
Joined: 22 Aug 2013
Posts: 1185
Own Kudos [?]: 2511 [0]
Given Kudos: 459
Location: India
Send PM
Re: Bino pens can be purchased for $12 per pack of 100, $8 per pack of 50, [#permalink] New post   05 May 2017, 05:07
Cost per pen, when we buy a pack of 100 pens = $ 12/100 = $0.12
Cost per pen, when we buy a pack of 50 pens = $ 8/50 = $0.16
Cost per pen, when we buy a single pen = $0.25

So, to maximise the number of pens in a fixed amount, objective is to have as many 'packs of 100' as possible, followed by as many 'packs of 50' as possible, followed by single pens.

No of 'packs of 100' = 57.75/12 = 4 (quotient is 4). 12*4 = 48, this leaves us with 57.75 - 48 = $9.75 (and now we have 400 pens)

No of 'packs of 50' = 9.75/8 = 1 (quotient is 1). This leaves us with $1.75 (and we have an additional 50 pens)

In remaining amount, we can get 1.75/0.25 = 7 single pens.

Thus max no of pens possible = 400+50+7 = 457. hence B
User avatar
L
pushpitkc
CEO
CEO
Joined: 26 Feb 2016
Posts: 2873
Own Kudos [?]: 5226 [0]
Given Kudos: 47
Location: India
GPA: 3.12
Send PM
Re: Bino pens can be purchased for $12 per pack of 100, $8 per pack of 50, [#permalink] New post   05 May 2017, 12:38
If he purchases 4(12$ packs),1(8$ pack) and 7(.25$ packs) he will exhaust 57.75$.

Since one 12$ pack gives him 100 pens, one 8$ pack gives him 50 and each additional pen costs him .25$, he will get 4*100 + 1*50 + 7*1 =457 pens(Option B)

Sent from my LG-H818 using GMAT Club Forum mobile app
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18859
Own Kudos [?]: 22235 [0]
Given Kudos: 285
Location: United States (CA)
Send PM
Re: Bino pens can be purchased for $12 per pack of 100, $8 per pack of 50, [#permalink] New post   12 May 2017, 13:20
Expert Reply
Bunuel wrote:
Bino pens can be purchased for $12 per pack of 100, $8 per pack of 50, or $0.25 each. What is the greatest number of pens that can be purchased for $57.75?

A. 475
B. 457
C. 439
D. 423
E. 357


With $57.75, we can buy (at most) four 100-packs.

After we purchase four 100-packs, we have 57.75 - 48 = $9.75 left over.

With $9.75, we can buy (at most) one 50-pack.

After we purchase one 50-pack, we have 9.75 - 8 = $1.75 left over.

Finally, we can purchase 1.75/0.25 = 7 individual pens.

Thus, the maximum number of pens we can purchase is 400 + 50 + 7 = 457 pens.

Answer: B
GMAT Club Bot
gmatclubot
Re: Bino pens can be purchased for $12 per pack of 100, $8 per pack of 50, [#permalink]
12 May 2017, 13:20
Moderators:
Bunuel
Math Expert
93287 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3136 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