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An investor purchased x shares of stock at a certain price.

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HKD1710
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An investor purchased x shares of stock at a certain price. [#permalink] New post  24 Nov 2018, 08:48
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An investor purchased x shares of stock at a certain price. If the stock then increased in price $0.25 per share and the total increase for the x shares was $12.50. how many shares of stock had been purchased?

(A) 25
(B) 50
(C) 75
(D) 100
(E) 125

Project PS Butler : Question #37


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dave13
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An investor purchased x shares of stock at a certain price. [#permalink] New post  24 Nov 2018, 09:24
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\(N\) = total number of shares

\(X\) = price per share

\(n(x+0.25)-(xn) = 12.50\)

\(nx+0.25n-xn=12.50\)

\(0.25n=12.50\)

\(n = 50\)
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Re: An investor purchased x shares of stock at a certain price. [#permalink] New post  24 Nov 2018, 09:07
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Let p be the price of each stock. So total money spent = x*p to buy x shares initially.
New price is p + 0.25
So value now is x*(p+0.25)
Increase = 12.5 = x*(p+0.25) - x*p = x*0.25

which gives, x = 12.5/0.25 = 50

Option B
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Re: An investor purchased x shares of stock at a certain price. [#permalink] New post  09 Feb 2019, 21:02
HKD1710 wrote:
An investor purchased x shares of stock at a certain price. If the stock then increased in price $0.25 per share and the total increase for the x shares was $12.50. how many shares of stock had been purchased?

(A) 25
(B) 50
(C) 75
(D) 100
(E) 125



Initial price = xy
New price = (x+ 0.25 ) * y

difference will be the increased price = 0.25 y = 12.50
y =50

B
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balamoon
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An investor purchased x shares of stock at a certain price. [#permalink] New post  28 Mar 2019, 22:07
HKD1710 wrote:
An investor purchased x shares of stock at a certain price. If the stock then increased in price $0.25 per share and the total increase for the x shares was $12.50. how many shares of stock had been purchased?

(A) 25
(B) 50
(C) 75
(D) 100
(E) 125

Project PS Butler : Question #37


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Total shares = Total increase in share price / per share increase price = 12.50/0.25 = 1250/25 = 50
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Shrey9
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An investor purchased x shares of stock at a certain price. [#permalink] New post  14 Jun 2019, 06:59
An investor purchased x shares of stock at a certain price. If the stock then increased in price $0.25 per share and the total increase for the x shares was $12.50. how many shares of stock had been purchased?

(A) 25
(B) 50
(C) 75
(D) 100
(E) 125


Let X be total number of shares..
price increase in 1 share is the same as price increase of X shares (just that increased amount will multiply by total number of shares i.e X)

We are given with the information that,
"total increase in value of 1 share = $0.25,
and total increase in value for X shares = $12.50"


or
0.25 X = 12.50
X= 12.50/0.25
X= 50..
option B
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CEdward
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An investor purchased x shares of stock at a certain price. [#permalink] New post  30 Dec 2020, 16:28
Word problem.

Let x = # of shares purchased, y = share price, z = book value

Equation 1: xy = z

If y increased by 0.25 and the book value increased by 12.50, then...

Equation 2: x(0.25+y) = 12.50 + z

x = (12.50 + z)/(0.25 + y)

(12.50 + z)/(0.25 + y) = z/y
z = 50y

Plug z = 50y back into x = z/y --> x = 50y/y --> x = 50
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An investor purchased x shares of stock at a certain price. [#permalink]
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