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

 It is currently 21 Jan 2019, 12:05

### 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

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

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### GMAT Club Tests are Free & Open for Martin Luther King Jr.'s Birthday!

January 21, 2019

January 21, 2019

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open January 21st for celebrate Martin Luther King Jr.'s Birthday.
• ### The winners of the GMAT game show

January 22, 2019

January 22, 2019

10:00 PM PST

11:00 PM PST

In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.

### Show Tags

17 Nov 2014, 13:30
1
2
00:00

Difficulty:

15% (low)

Question Stats:

85% (02:25) correct 15% (02:42) wrong based on 65 sessions

### HideShow timer Statistics

An investor can sell her MicroTron stock for 36$per share and her Dynaco stock for 52$ per share, If she sells 300 shares altogether, some of each stock, at an average price per share of 40$, how many shares of Dynaco stock has she sold? A) 52 B) 75 C) 92 D) 136 E) 184 Current Student Joined: 12 Aug 2014 Posts: 150 Location: United States (AZ) Concentration: Finance, Strategy GMAT 1: 700 Q47 V39 Re: An investor can sell her MicroTron sock for 36$ per share and  [#permalink]

### Show Tags

17 Nov 2014, 13:55
1
MicroTron stock: $36/share Dynaco stock:$52/share

Total revenue from selling 300 shs at $40 avg price per share: 300 *$40/share = $12,000 So the investor sold x shares of MicroTron stock at$36/share and (300 - x) shares of Dynaco stock at $52/share for a total of$12,000 in sales. We can express the equation as follows:

$36x +$52(300 - x) = $40 * 300 which simplifies to:$36x + $15,600 -$52x = $12,000 Simplify further:$3,600 = 16x

x = 225

Plug in x = 225 into the equation we derived to figure out she sold 300 - 225 = 75 shs of Dyanco.

Hope this helps!
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8803
Location: Pune, India
Re: An investor can sell her MicroTron sock for 36$per share and [#permalink] ### Show Tags 17 Nov 2014, 21:54 1 2 NATABERI wrote: An investor can sell her MicroTron stock for 36$ per share and her Dynaco stock for 52$per share, If she sells 300 shares altogether, some of each stock, at an average price per share of 40$, how many shares of Dynaco stock has she sold?

A) 52
B) 75
C) 92
D) 136
E) 184

Use the weighted averages formula discussed here: http://www.veritasprep.com/blog/2011/03 ... -averages/

w1/w2 = (A2 - Aavg)/(Aavg - A1) = (52 - 40)/(40 - 36) = 12/4 = 3/1 = Number of MicroTron stocks/Number of Dynaco stocks

So for every 3 MicroTron stock, she sold 1 Dynaco stock.
So out of 300 total stocks, (1/4)th i.e. 300/4 = 75 must be Dynaco stock.

_________________

Karishma
Veritas Prep GMAT Instructor

SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1823
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

### Show Tags

20 Dec 2014, 10:08
NATABERI wrote:
An investor can sell her MicroTron stock for 36$per share and her Dynaco stock for 52$ per share, If she sells 300 shares altogether, some of each stock, at an average price per share of 40$, how many shares of Dynaco stock has she sold? A) 52 B) 75 C) 92 D) 136 E) 184 Hi, yeah, this one can be solved quicky using the weighted average approach. Avg = 40$
MicroTron stock = 36$Dynaco stock = 52$

Arrange this on a number line for clarity:

36----40------------52

Note:Notice the average is closer to 36$. So that means there will be more no. of MicroTron stocks sold. According to to the weighted average approach, the ratio of the quantities will be opposite of the distance from the avergae i.e. ratio of MicroTron stock : Dynaco stock = 12:4 Now solve it as a ratio problem. Lets say the unknown multiplier is 'x' so we have 12x + 4x = 300 x = 75/4 Therefore 4x = 4 * (75/4) = 75. For more information on weighted averages, check out the quants link below: consolodited-quant-guides-of-forum-most-helpful-in-preps-151067.html#p1217652 Thanks! Non-Human User Joined: 09 Sep 2013 Posts: 9463 Re: An investor can sell her MicroTron sock for 36$ per share and  [#permalink]

### Show Tags

25 Dec 2017, 22:36
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.
_________________