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# Long

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Manager
Joined: 08 Jul 2009
Posts: 164

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31 Jul 2009, 08:22
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Last year Mrs. Long received \$160 in dividends on her shares of Company X stock, all of which she had held for the entire year. If she had had 12 more shares of the stock last year, she would have received \$15 more in total annual dividends. How many shares of the stock did she have last year?
(A) 128
(B) 140
(C) 172
(D) 175
(E) 200
Manager
Joined: 17 Dec 2007
Posts: 98

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31 Jul 2009, 13:18
1
KUDOS
sher676 wrote:
Last year Mrs. Long received \$160 in dividends on her shares of Company X stock, all of which she had held for the entire year. If she had had 12 more shares of the stock last year, she would have received \$15 more in total annual dividends. How many shares of the stock did she have last year?
(A) 128
(B) 140
(C) 172
(D) 175
(E) 200

200 is the answer

15\$ paid for 12 stocks, so per stock it pays 5/4\$
so to get a dividend of 160\$ , he should have 200 shares
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Status: Applying
Joined: 30 Jul 2009
Posts: 25

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31 Jul 2009, 13:24
[EDIT - REMOVED BY USER]

Last edited by nplaneta on 17 Jun 2012, 17:40, edited 1 time in total.
Manager
Joined: 17 Dec 2007
Posts: 98

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31 Jul 2009, 13:38
nplaneta wrote:
Set d = dividend paid / share
Set X = # of shares

X*d = \$160
(X+12)*d = \$175
X*d + 12*d = \$175
\$160 + 12*d = \$175
12*d = \$15
d= \$15/12

X * \$15/12 = \$160
X = \$160 * 12/\$15
X = \$160 * 4/\$5
X = 32 * 4
X = 128

A

thats rigtht silly me......per share is 5/4 , then for 200 shares it would be 250 .....you are right
Re: Long   [#permalink] 31 Jul 2009, 13:38
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# Long

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