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

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Joined: 21 Jun 2014
Posts: 1094
Location: India
Concentration: General Management, Technology
GMAT 1: 540 Q45 V20
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An investor purchased x shares of stock at a certain price.  [#permalink]

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24 Nov 2018, 07:48
2
00:00

Difficulty:

15% (low)

Question Stats:

88% (01:26) correct 12% (01:30) wrong based on 33 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

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

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24 Nov 2018, 08:07
1
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, 08:24
$$N$$ = total number of shares

$$X$$ = price per share

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

$$nx+0.25n-xn=12.50$$

$$0.25n=12.50$$

$$n = 50$$
An investor purchased x shares of stock at a certain price. &nbs [#permalink] 24 Nov 2018, 08:24
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