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

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by BTGmoderatorDC » Sun Jul 21, 2019 11:53 pm

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Answers

A

B

C

D

E

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Difficulty—

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.

OA D

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Source: — Data Sufficiency |
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by swerve » Wed Jul 24, 2019 10:32 am
Given
\(1.1x\)
\(0.9y\)

\(\frac{0.9y}{x}\cdot 100 = ¿?\)

THE KEY: This is a COMBO QUESTION \(\Rightarrow\) Knowing \(\frac{y}{x}\) (or knowing that you have sufficient information to know \(\frac{y}{x}\)) is sufficient.


Statement 1:
\(1.1x = y\,\Rightarrow\,\frac{y}{x}=1.1\). Sufficient.

Statement 2:
\(0.1x = \frac{10}{11}\cdot 0.1y\,\Rightarrow\,\frac{y}{x}=1.1\). Sufficient.

Note the difference between:
- the increase IN THE price of \(x \,\Rightarrow\, 0.1x\)
- the decrease IN THE price of \(y \,\Rightarrow\, 0.1y\)
- the INCREASED price in \(x \,\Rightarrow\, 1.1x\)
- the DECREASED price in \(y \,\Rightarrow\, 0.9y\).

Therefore, __D__ is the correct option.
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