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17 Nov 2014, 14:30
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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
A) 52
B) 75
C) 92
D) 136
E) 184
hopeful101candidate
Joined: 12 Aug 2014
Last visit: 15 May 2018
Posts: 144
Given Kudos: 29
Location: United States (AZ)
Concentration: Finance, Strategy
Schools: Cnsrtm-Johnson '20 (A) Cnsrtm-Darden '20 (A) Cnsrtm-Goizueta '20 (A) Cnsrtm-McCombs '20 (A)
GMAT 1: 700 Q47 V39
Schools: Cnsrtm-Johnson '20 (A) Cnsrtm-Darden '20 (A) Cnsrtm-Goizueta '20 (A) Cnsrtm-McCombs '20 (A)
GMAT 1: 700 Q47 V39
Posts: 144
17 Nov 2014, 14:55
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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!
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!
NATABERI
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.
Answer (B)
