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The price per share of Stock X increased by 10 percent over

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The price per share of Stock X increased by 10 percent over [#permalink]

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18 Dec 2012, 06:47
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The price per share of Stock X increased by 10 percent over the same time period that the price per share of Stock Y decreased by 10 percent. The reduced price per share of Stock Y was what percent of the original price per share of Stock X ?

(1) The increased price per share of Stock X was equal to the original price per share of Stock Y.
(2) The increase in the price per share of Stock X was 10/11 the decrease in the price per share of Stock Y.
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Re: The price per share of Stock X increased by 10 percent over [#permalink]

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18 Dec 2012, 06:51
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The price per share of Stock X increased by 10 percent over the same time period that the price per share of Stock Y decreased by 10 percent. The reduced price per share of Stock Y was what percent of the original price per share of Stock X ?

Let the initial price per share of stock X be $$x$$, so after increase by 10% it would become $$1.1x$$;
Let the initial price per share of stock Y be $$y$$, so after decrease by 10% it would become $$0.9y$$.

Question: $$\frac{0.9y}{x}=\frac{9y}{10x}=?$$

(1) The increased price per share of Stock X was equal to the original price per share of Stock Y --> $$1.1x=y$$ --> $$\frac{9y}{10x}=\frac{9*1.1x}{10x}=0.99$$ or 99%. Sufficient.

(2) The increase in the price per share of Stock X was 10/11 the decrease in the price per share of Stock Y --> $$1.1x-x=\frac{10}{11}*(y-0.9y)$$ --> $$0.1x=\frac{10}{11}*0.1y$$ --> $$1.1x=y$$ the same info as in (1). Sufficient

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Re: The price per share of Stock X increased by 10 percent over [#permalink]

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14 Jul 2014, 05:34
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Re: The price per share of Stock X increased by 10 percent over [#permalink]

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20 Aug 2015, 20:57
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Re: The price per share of Stock X increased by 10 percent over [#permalink]

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04 Sep 2016, 10:26
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Re: The price per share of Stock X increased by 10 percent over   [#permalink] 04 Sep 2016, 10:26
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