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Manager
Joined: 19 Jun 2003
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Last year Mrs. Long received $160 in dividends on her shares
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20 Jul 2004, 13:58
Question Stats:
75% (02:02) correct 25% (02:23) wrong based on 296 sessions
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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
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CIO
Joined: 09 Mar 2003
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Re: Last year Mrs. Long received $160 in dividends on her shares
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20 Jul 2004, 14:43
A
1. Realize that if there were 12 more shares and 15 more dollars, the shares are worth more than a dollar a share, so there would have to be less than 160. Cancel out c, d, e.
2. Now there are at least three ways of doing it, all of which depend on who you are and how you think. I'll put as many below as I can think of  I think they're all fine and expediant. Remember  if you're spending time looking for the most sophisticated way, you could be just wasting time, especially if you know how to do it algebraically.
Method 1: Algebra
160/x = 175/(x+12)
That's because each stock is worth the same, so if you divide the 160 by the number of shares, or 175 by the number of shares plus 12, you get the same answer. Solve for x = 128.
Method 2: 12 more shares cost $15, so that means each one cost $1.25. So 160/1.25. To do this quickly, convert 1.25 into 5/4 (I LOVE FRACTIONS!) Now you've got 160/(5/4) = 160x4/5 = 32x4 = 128.
Method 3: Once you've cancelled c,d,e, you can plug in a or b and see what happens. One will work and one won't, but either way, after just one time through, you'll have your answer.



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Joined: 08 Nov 2007
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Re: Stocks
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15 Nov 2007, 14:21
yogachgolf 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
A  128
$15 for 12 shares  thus $1.25 per share  so 160/1.25 = 128



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Re: Stocks
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15 Nov 2007, 14:24
yogachgolf 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
A. 128
160/n = 175/(n+12)
x = 128



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Joined: 30 Aug 2009
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Re: question explanation
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23 Nov 2009, 06:46
Adigmat wrote: and why ? lets consider Mrs Long has "n" shares of Company X. dividend is paid on the basis of the number of shares held for a certain duration (here one year) then dividend per share is 160/n. q says that if she had 12 more shares she would had got 15$ more. so 160/n = (160+15)/(n+12). solving this we get n=128.



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Re: question explanation
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23 Nov 2009, 09:39
12 more shares = $15 more is 15/12 to get the per share cost. That's 1.25, or 5/4 per share so \(\frac{5}{4}=\frac{160}{n}\) = \(\frac{4*160}{5}\) = 4*32 = 128. reduce where you can Adigmat 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
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Re: question explanation
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23 Nov 2009, 11:11
kp1811 wrote: dividend is paid on the basis of the number of shares held for a certain duration. I knew I had to know this some time or the other!!!!
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Re: question explanation
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23 Nov 2009, 11:37
SensibleGuy wrote: kp1811 wrote: dividend is paid on the basis of the number of shares held for a certain duration. I knew I had to know this some time or the other!!!! better late than never !!!!



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Re: Last year Mrs. Long received $160 in dividends on her shares
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15 Oct 2018, 19:08
12 more shares = $15 more is 15/12 to get the per share cost. That's 1.25, or 5/4 per share so 54=160n54=160n = 4∗16054∗1605 = 4*32 = 128.
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Re: Last year Mrs. Long received $160 in dividends on her shares
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15 Oct 2018, 19:08






