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#1 (permalink) |
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Eager!
Join Date: May 2005
Posts: 67
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Challenging DS, Percents,Ratios and Logic
Can someone please explain? The answer here is A.
Mr. Bombo owns two kinds of stock shares; r shares of stock X and m shares of stock Y. Stock X yields and annual dividend of 2%, while stock Y yields an annual dividend of 6%. If Mr. Bombo were to sell all of his shares of stock X and use that money to purchase shares of stock Y, by what percent would his annual dividend increase? (1) Each share of stock X costs twice as much as each share of stock Y. (2) Each share of stock Y costs $50. |
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#2 (permalink) | |
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TestMagic Guru-in-Training
![]() ![]() ![]() Join Date: May 2009
Posts: 723
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are you sure that the problem is written correctly or oa is a ? ![]() I break my mind trying to solve, but i can not understand how to solve without knowledge about number of shares x y, or at least ratio between them i try to insert different numbers but % increase was various any time to my mind with given date the answer is E What i am missing? ![]() |
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#3 (permalink) |
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Eager!
Join Date: May 2005
Posts: 67
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I think I also answered E when I first saw the problem not because I was sure that E was "right" but simply because the problem proved too time consuming for me so I just picked an answer and then moved on.
Also, you're right. I read the explanation to this problem again and somehow i''m just not convinced on the reasoniing/logic behind. So if a problem like this comes up, I'm expecting additional info such as the ration of the number of stocks between X and Y.. otherwise, yes, perhaps E is the answer. |
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#6 (permalink) |
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TestMagic Guru
![]() ![]() ![]() ![]() Join Date: Oct 2004
Posts: 1,149
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Guys....
I am trying to solve a question after a long time... Kindly bear with me if i had made any mistake.... r shares----- Stock X----- 2% m Shared----- Stock Y ---- 6% Statement 1: Let the cost of X share be 2p & Y share be p. Total Value of Stock X= 2rp Total Value of Stock Y= mp => r/m =2 => r=2m Dividend-> (4mp*2/100) + (mp*6/100) = 14mp/100 Realization by selling r share of Stock X- 4mp No. of share bought of Y ---- 4m Total Value of Stock Y- 4mp+mp= 5mp Dividend---- 5mp*6/100= 30mp/100 % Increase in Dividend= (30mp/100 - 14mp/100)/14mp/100 *100 = 16/14 *100 = 114.2% ----- Sufficient answer(A) Statement 2: Cost of Share Y = 50 Don't about the quantity or the relation between the quantities. Insufficient |
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#7 (permalink) | |
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TestMagic Guru-in-Training
![]() ![]() ![]() Join Date: May 2009
Posts: 723
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Total Value of Stock Y= mp => r/m =2 => r=2m do you mean that total value of r shares x= total value of m shares y ![]() but imagine that for example that price of one share of y=50 and according st1 price of one share of x will be 100 total value of x will be 100*r and total value of y will be 50*m is it correct to equate both parts ![]() |
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#8 (permalink) |
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This user's posts are moderated.
Join Date: Aug 2009
Posts: 29
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1) Is the question : By which % value of Dividend will increase ?
2) Or Will the value increase? My calculation says that for 1) answer should be E as in final term of increment of dividend r and m comes, which are not given If question is 2) then for sure dividend will increase as more shares so again we dont need any choice! |
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