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

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An investor purchased x shares of stock at a certain price.  [#permalink]

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24 Nov 2018, 08:48
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Difficulty:

5% (low)

Question Stats:

90% (01:23) correct 10% (01:41) wrong based on 101 sessions

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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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Re: An investor purchased x shares of stock at a certain price.  [#permalink]

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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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An investor purchased x shares of stock at a certain price.  [#permalink]

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24 Nov 2018, 09:24
$$N$$ = 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]

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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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An investor purchased x shares of stock at a certain price.  [#permalink]

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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

Total shares = Total increase in share price / per share increase price = 12.50/0.25 = 1250/25 = 50
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An investor purchased x shares of stock at a certain price.   [#permalink] 28 Mar 2019, 22:07
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