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

It is currently 23 Oct 2018, 17:50

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

A woman sold 100 oranges at $12.10, some at the rate of 3

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

Hide Tags

Director
Director
User avatar
Joined: 07 Jun 2004
Posts: 603
Location: PA
A woman sold 100 oranges at $12.10, some at the rate of 3  [#permalink]

Show Tags

New post 26 Jul 2010, 08:39
7
3
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

69% (02:53) correct 31% (03:08) wrong based on 396 sessions

HideShow timer Statistics

A woman sold 100 oranges at $12.10, some at the rate of 3 for 35 cents and the rest at 7 for 85 cents. How many were sold at the first rate?

A. 45
B. 21
C. 9
D. 15
E. 12

_________________

If the Q jogged your mind do Kudos me : )

Most Helpful Expert Reply
Veritas Prep GMAT Instructor
User avatar
P
Joined: 16 Oct 2010
Posts: 8418
Location: Pune, India
Re: Oranges sold at different rates  [#permalink]

Show Tags

New post 15 Mar 2012, 22:45
5
GMATD11 wrote:
\(\frac{35}{3}x+\frac{85}{7}(100-x)=1210\)

Can you pls explain the Right hand side of equation.
Won't it be 12.10


The equation equates the total selling price. He gets $12.10 i.e. 1210 cents.
If he sold x oranges for 35/3 cents and (100-x) for 85/7 cents, this is a total of
(35/3) * x + (85/7) * (100-x) cents. You equate cents to cents.

Also, you can use the weighted average formula here:

w1/w2 = (85/7 - 121/10)/(121/10 - 35/3) = 9/91

Total 9+91 is 100. So he sells 9 oranges at 35 for 3 and 91 oranges at 85 for 7.
_________________

Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >

GMAT self-study has never been more personalized or more fun. Try ORION Free!

Most Helpful Community Reply
Manager
Manager
avatar
Joined: 02 Apr 2010
Posts: 101
Re: Oranges sold at different rates  [#permalink]

Show Tags

New post 26 Jul 2010, 09:58
16
1
This can be solved like a classical mixture problem but numbers are awkward to deal with.

It's easier to just look at the answer choices. You know that a multiple of 3 oranges has to be sold at the first rate, and a multiple of 7 at the second rate. You simple subtract the answer choices for the first rate from 100 and check whether the remainder (i.e. the number of oranges sold at the second rate) is a multiple of 7.

100 - 45 = 55 => not a multiple of 7 so exclude
100 - 21 = 79 => not a multiple of 7 so exclude
100 -9 = 91 => a multiple of 7 so keep
100 - 15 = 85 => not a multiple of 7 so exclude
100 - 12 = 88 => not a multiple of 7 so exclude

Hence, answer choice 9 is correct.
General Discussion
Manager
Manager
User avatar
Status: mba here i come!
Joined: 07 Aug 2011
Posts: 213
GMAT ToolKit User
Re: Oranges sold at different rates  [#permalink]

Show Tags

New post 29 Feb 2012, 10:03
5
\(\frac{35}{3}x+\frac{85}{7}(100-x)=1210\)

solve and you'll get x = 9
_________________

press +1 Kudos to appreciate posts
Download Valuable Collection of Percentage Questions (PS/DS)

Manager
Manager
avatar
Joined: 10 Nov 2010
Posts: 196
Location: India
Concentration: Strategy, Operations
GMAT 1: 520 Q42 V19
GMAT 2: 540 Q44 V21
WE: Information Technology (Computer Software)
Re: Oranges sold at different rates  [#permalink]

Show Tags

New post 15 Mar 2012, 21:18
\(\frac{35}{3}x+\frac{85}{7}(100-x)=1210\)

Can you pls explain the Right hand side of equation.
Won't it be 12.10
_________________

The proof of understanding is the ability to explain it.

Intern
Intern
avatar
Joined: 12 Aug 2012
Posts: 4
Re: Oranges sold at different rates  [#permalink]

Show Tags

New post 17 Aug 2012, 00:47
GMATD11 wrote:
\(\frac{35}{3}x+\frac{85}{7}(100-x)=1210\)

Can you pls explain the Right hand side of equation.
Won't it be 12.10


Hi,

Because we are taking all the values in cents so we have converted $12.10 into cents which is 1210 cents.
as 1 cent =0.01 Dollar

Hope this helps.

Try and fail but never fail to try.
Manager
Manager
avatar
Joined: 23 May 2013
Posts: 108
GMAT ToolKit User
Re: A woman sold 100 oranges at $12.10, some at the rate of 3  [#permalink]

Show Tags

New post 01 Oct 2013, 05:31
for such question need a will power to take on some random complicated numbers. i derived the equation but goofed up with the numbers :(
_________________

“Confidence comes not from always being right but from not fearing to be wrong.”

Senior Manager
Senior Manager
avatar
Joined: 27 Dec 2013
Posts: 251
Re: A woman sold 100 oranges at $12.10, some at the rate of 3  [#permalink]

Show Tags

New post 02 May 2015, 09:14
simple question.... killer calculation.. WOW...


rxs0005 wrote:
A woman sold 100 oranges at $12.10, some at the rate of 3 for 35 cents and the rest at 7 for 85 cents. How many were sold at the first rate?

A. 45
B. 21
C. 9
D. 15
E. 12

_________________

Kudos to you, for helping me with some KUDOS.

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8543
Premium Member
Re: A woman sold 100 oranges at $12.10, some at the rate of 3  [#permalink]

Show Tags

New post 13 May 2018, 03:47
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: A woman sold 100 oranges at $12.10, some at the rate of 3 &nbs [#permalink] 13 May 2018, 03:47
Display posts from previous: Sort by

A woman sold 100 oranges at $12.10, some at the rate of 3

  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®.