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1000PS Section 1 Qusetion 18

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1000PS Section 1 Qusetion 18

by cindyqtran » Thu Sep 20, 2007 11:09 pm
18. 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

Thank you!!
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by Suyog » Fri Sep 21, 2007 3:50 am
Let x be the number of original shares

For x shares dividend received is 160
So, for x+12 shares dividend will be, 160 + 15 = 175

Now,
Shares Dividend

x 160
x+12 175

Cross multiplying,

160(x+12) = 175x
15x = 1920
x = 128

Ans A.
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by ri2007 » Fri Sep 21, 2007 7:17 am
Here is a simple way to get to the ans.

divident on 12 shares is 15
so divident on X shares is 160

X = 12*160/15 ans is 128

simple cross multiplication.
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Junior | Next Rank: 30 Posts
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by cindyqtran » Sat Sep 22, 2007 3:06 pm
thanks! :wink:
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