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17 Nov 2014, 14:30
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Difficulty:

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Question Stats:

87% (02:15) correct 13% (02:41) wrong based on 61 sessions

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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$, how many shares of Dynaco stock has she sold? A) 52 B) 75 C) 92 D) 136 E) 184 [Reveal] Spoiler: OA Manager Joined: 12 Aug 2014 Posts: 150 Location: United States (AZ) Concentration: Finance, Strategy GMAT 1: 700 Q47 V39 Re: An investor can sell her MicroTron sock for 36$ per share and [#permalink]

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17 Nov 2014, 14:55
1
KUDOS
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
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Re: An investor can sell her MicroTron sock for 36$per share and [#permalink] ### Show Tags 17 Nov 2014, 22:54 Expert's post 3 This post was BOOKMARKED NATABERI wrote: An investor can sell her MicroTron stock for 36$ 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.

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Karishma
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Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews SVP Status: The Best Or Nothing Joined: 27 Dec 2012 Posts: 1837 Location: India Concentration: General Management, Technology WE: Information Technology (Computer Software) Re: An investor can sell her MicroTron sock for 36$ per share and [#permalink]

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18 Nov 2014, 02:12
1
KUDOS
Say stock of Dynaco shares = x,

then stock of MicroTron shares = (300-x)

Setting up the equation

36(300-x) + 52x = 40*300

$$x = \frac{300}{4} = 75$$

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Manager
Joined: 02 May 2014
Posts: 113
Schools: ESADE '16, HKU'16, SMU '16
GMAT 1: 620 Q46 V30
An investor can sell her MicroTron sock for 36$per share and [#permalink] ### Show Tags 20 Dec 2014, 11:08 NATABERI wrote: An investor can sell her MicroTron stock for 36$ 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.

Thanks!
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Joined: 09 Sep 2013
Posts: 6649
Re: An investor can sell her MicroTron sock for 36$per share and [#permalink] ### Show Tags 25 Dec 2017, 23:36 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Re: An investor can sell her MicroTron sock for 36$ per share and   [#permalink] 25 Dec 2017, 23:36
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