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# The price per share of stock A increased by 25 percent during the same

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The price per share of stock A increased by 25 percent during the same  [#permalink]

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19 Dec 2018, 23:33
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Difficulty:

35% (medium)

Question Stats:

72% (01:35) correct 28% (01:49) wrong based on 28 sessions

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The price per share of stock A increased by 25 percent during the same period of time that the price per share of stock B decreased by 25 percent. The original price per share of stock A was what percent of the original price per share of stock B?

(1) The increased price per share of stock A was equal to the decreased price per share of stock B.

(2) The increase in the price per share of stock A was 3/20 of the original price per share of stock B?

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The price per share of stock A increased by 25 percent during the same  [#permalink]

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20 Dec 2018, 00:02
Bunuel wrote:
The price per share of stock A increased by 25 percent during the same period of time that the price per share of stock B decreased by 25 percent. The original price per share of stock A was what percent of the original price per share of stock B?

(1) The increased price per share of stock A was equal to the decreased price per share of stock B.

(2) The increase in the price per share of stock A was 3/20 of the original price per share of stock B?

Let the price of the stock A be A and the price of the stock B be B.
We are told that the price of stock A increases by 25%, making cost 1.25A
Similarly, the price of stock B is decreased by 25%, making cost 0.75B

1. $$1.25A = 0.75B$$ -> $$\frac{A}{B} = \frac{3}{5}$$ -> $$A = \frac{3B}{5}$$
Therefore, the original price of stock A was 60% that of stock B (Sufficient)

2. $$0.25A = \frac{3}{20}*B$$ -> $$\frac{A}{4} = \frac{3B}{20}$$ -> $$A = \frac{3B}{5}$$
Therefore, the original price of stock A was 60% that of stock B (Sufficient - Option D)
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The price per share of stock A increased by 25 percent during the same &nbs [#permalink] 20 Dec 2018, 00:02
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