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The price of a stock decreased by 20 percent and then increased by x p

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Carcass
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The price of a stock decreased by 20 percent and then increased by x p [#permalink] New post   23 Nov 2023, 02:01
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The price of a stock decreased by 20 percent and then increased by x percent. x < 25.


Quantity A
Quantity B
Final price of the stock after the increase
Initial price of the stock before the decrease




A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.



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VibhuAnurag
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Re: The price of a stock decreased by 20 percent and then increased by x p [#permalink] New post   29 Nov 2023, 02:54
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The answer is B.

Let the initial price = a
If the increase (x) was 25%, then x * 0.8 * 1.25 = x
--> We would have arrived at the same amount again. But since x < 25, it implies that the final price of the stock after the increase
must be less than the initial price of the stock before the decrease.
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Re: The price of a stock decreased by 20 percent and then increased by x p [#permalink] New post   07 Jan 2024, 23:59
let stock be = 100unit (before decrease)
20% dec. = 80
then inc of x% (x<25) . let x = 24% (to make cal easy)
80 + 24% of 80 = 99.2
100>99.2
QA<QB
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Re: The price of a stock decreased by 20 percent and then increased by x p [#permalink]
07 Jan 2024, 23:59
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