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Bunuel
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Ain't solving this but try and take LCM of 4, 5, 3 and 9 because that's what the %s translate into fractions. Eg: 16 2/3 is nothing but 1/6%, you should know this. 11 1/9 is 1/9% etc.

LCM is 180. So I did all my calculation on this and was able to solve. Answer is C.
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doesn't 2014 approximately equal to $97 so that's closest to $100 vs $105 in 2013
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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 \(16 \frac{2}{3}\)% 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 price of the asset close to tis original price?

A. Dec 31st 2011
B. Dec 31st 2012
C. Dec 31st 2013
D. Dec 31st 2014
E. Dec 31st 2015

2010 Let it be \(100\)

2011 it becomes \(120\)

2012 it becomes \(90\)

2013 it becomes \(105\)

2014 it becomes \(93 \frac{1}{3}\)

2015 it becomes \(\approx 113\)

As we can see in 2013 it was closest to its original value.

Ans C

Hope it's clear.
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utkarshb21
doesn't 2014 approximately equal to $97 so that's closest to $100 vs $105 in 2013
stne
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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 \(16 \frac{2}{3}\)% 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 price of the asset close to tis original price?

A. Dec 31st 2011
B. Dec 31st 2012
C. Dec 31st 2013
D. Dec 31st 2014
E. Dec 31st 2015

2010 Let it be \(100\)

2011 it becomes \(120\)

2012 it becomes \(90\)

2013 it becomes \(105\)

2014 it becomes \(93 \frac{1}{3}\)

2015 it becomes \(\approx 113\)

As we can see in 2013 it was closest to its original value.

Ans C

Hope it's clear.
Sorry, I can't see how \(93 \frac{1}{3}= 93.33 \) approximately equals \(97.\)
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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 \(16 \frac{2}{3}\)% 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 price of the asset close to tis original price?

2010 : 100
2011 : 120
2012 : 90
2013 : 105
2014 : 93..
2015 : 113...

A. Dec 31st 2011
B. Dec 31st 2012
C. Dec 31st 2013
D. Dec 31st 2014
E. Dec 31st 2015

IMO C
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