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During a two-week period, the price of an ounce of silver increased by 25 percent by the end of the first week and then

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by Vincen » Thu May 07, 2020 11:39 am

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During a two-week period, the price of an ounce of silver increased by 25 percent by the end of the first week and then decreased by 20 percent of this new price by the end of the second week. If the price of silver was \(x\) dollars per ounce at the beginning of the two-week period, what was the price, in dollars per ounce, by the end of the period?

(A) \(0.8x\)
(B) \(0.95x\)
(C) \(x\)
(D) \(1.05x\)
(E) \(1.25x\)

[spoiler]OA=C[/spoiler]

Source: GMAT Prep
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Source: — Problem Solving |

Vincen wrote:
Thu May 07, 2020 11:39 am
During a two-week period, the price of an ounce of silver increased by 25 percent by the end of the first week and then decreased by 20 percent of this new price by the end of the second week. If the price of silver was \(x\) dollars per ounce at the beginning of the two-week period, what was the price, in dollars per ounce, by the end of the period?

(A) \(0.8x\)
(B) \(0.95x\)
(C) \(x\)
(D) \(1.05x\)
(E) \(1.25x\)

[spoiler]OA=C[/spoiler]

Source: GMAT Prep
Price after 25% increase = x + 25% of x = 1.25x;

Price after 20% decrease = 1.25x – 20% of 1.25x = 1.25x – 0.25x = x

The correct answer: C

Hope this helps!

-Jay
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Vincen wrote:
Thu May 07, 2020 11:39 am
During a two-week period, the price of an ounce of silver increased by 25 percent by the end of the first week and then decreased by 20 percent of this new price by the end of the second week. If the price of silver was \(x\) dollars per ounce at the beginning of the two-week period, what was the price, in dollars per ounce, by the end of the period?

(A) \(0.8x\)
(B) \(0.95x\)
(C) \(x\)
(D) \(1.05x\)
(E) \(1.25x\)

[spoiler]OA=C[/spoiler]

Source: GMAT Prep
The price of silver at the end of the period was x * 1.25 * 0.8 = x

Answer: C

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