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# Of the shares of stock owned by a certain investor, 30

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Re: Of the shares of stock owned by a certain investor, 30 [#permalink]
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Attached is a visual that should help.
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Screen Shot 2016-03-31 at 12.44.46 AM.png [ 144.51 KiB | Viewed 60342 times ]

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Re: Of the shares of stock owned by a certain investor, 30 [#permalink]
Hello, Bunuel. This is a GMAT Prep question. Could you please tag it?

Thank you!
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Re: Of the shares of stock owned by a certain investor, 30 [#permalink]
CrushTHYGMAT wrote:
Hello, Bunuel. This is a GMAT Prep question. Could you please tag it?

Thank you!

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Re: Of the shares of stock owned by a certain investor, 30 [#permalink]
Let N be the number of total shares the investor owns.
0.3 N = number of Company X stock he owns
1/7 of 0.7 N (the remaining shares) = 0.1 N = number of Company Y stock he owns

Goal is to calculate N. X is 30% of N (which is what we are asked to calculate).

Statement 1:
100 Y shares and we know Y shares are 10% of the total N.
0.1 N = 100. N is therefore 1,000. SUFFICIENT.

Statement 2:
He owns 30% N shares and 10% Y shares. And that differential is 200.
0.3 N - 0.1 N = 200. N is therefore 1,000. SUFFICIENT
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Re: Of the shares of stock owned by a certain investor, 30 [#permalink]
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Re: Of the shares of stock owned by a certain investor, 30 [#permalink]
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