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GMATNinja
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An investor bought an asset on December 31st, 2010 Mon Apr 18, 2022 1:31 am
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

75% (hard)

Question Stats:

65% (02:45) correct 35% (02:42) wrong based on 425 sessions

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An investor bought an asset on December 31st, 2010, and held it for five years. The value of the asset increased by \(20\)% in the first year, decreased by \(25\)% in the second year, increased by \(16 \frac{2}{3}\)% in the third year, decreased by \(11 \frac{1}{9}\)% in the fourth year, and increased by \(33\frac{1}{3}\)% in the fifth year. On which of the following dates was the value of the asset closest to its original value?

(A) Dec 31st 2011
(B) Dec 31st 2012
(C) Dec 31st 2013
(D) Dec 31st 2014
(E) Dec 31st 2015
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C
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Abhishekgmat87
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An investor bought an asset on December 31st, 2010 Sat Apr 30, 2022 12:00 am
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GMATNinja
An investor bought an asset on December 31st, 2010, and held it for five years. The value of the asset increased by \(20\)% in the first year, decreased by \(25\)% in the second year, increased by \(16 \frac{2}{3}\)% in the third year, decreased by \(11 \frac{1}{9}\)% in the fourth year, and increased by \(33\frac{1}{3}\)% in the fifth year. On which of the following dates was the value of the asset closest to its original value?

(A) Dec 31st 2011
(B) Dec 31st 2012
(C) Dec 31st 2013
(D) Dec 31st 2014
(E) Dec 31st 2015
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Let the original price be Rs. 100
Price on Dec 31st 2011 - 120
Price on Dec 31st 2012 - 90
Price on Dec 31st 2013 - 105
Price on Dec 31st 2014 ~ 93
Price on Dec 31st 2015 > 120

Option C
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saby1410
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An investor bought an asset on December 31st, 2010 Sun Feb 04, 2024 10:30 am
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Bunuel
please share your solution how will solve this question
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chan13
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An investor bought an asset on December 31st, 2010 Sun Mar 17, 2024 5:34 pm
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Percentage changes by year:

1. Increase 20% -> 6/5 i.e. (1+1/5)
2. Decrease 25% -> 3/4
3. Increase 16 2/3% -> 7/6
4. Decrease 11 1/9% -> 8/9

Change up till 1st year -> 6/5
Change up till 2nd year -> (6/5)*(3/4) =9/10
Change up till 3rd year -> (6/5)*(3/4)*(7/6) = 21/20
Change up till 4rd year -> (6/5)*(3/4)*(7/6)*(8/9) = 14/15


Among all the years 3rd year i.e. 21/20 is closest to 1

Therefore, the answer is C
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An investor bought an asset on December 31st, 2010 Sat Aug 02, 2025 11:49 am
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A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

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