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Re: A certain company's yearly revenue was 20% less in 2005 than in 2004. [#permalink]
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MrWhite wrote:
A certain company's yearly revenue was 20% less in 2005 than in 2004 and 10% greater in 2006 than in 2005. If the company's revenue in 2007 was equal to it's yearly revenue in 2004, which of the following is closest to the percent increase in the company's yearly revenue from 2006 to 2007?

(A) 5%
(B) 10%
(C) 12%
(D) 14%
(E) 15%


Let's assume that the company's revenue in 2004 was $100

Revenue in 2005 = 20% less than 2004 = $80

Revenue in 2006 = 10% greater than 2005 = $88

Revenue in 2007 = Equal to 2004 = $100

Increase = $100 - $88 = $12

% increase = \(\frac{12}{88} * 100 = 13.XX\)

Option D
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Re: A certain company's yearly revenue was 20% less in 2005 than in 2004. [#permalink]
'04 = 100
'05 = 80
'06 = 88
'07 = 100

'06 -> '07 = 88 -> 100

Change to 8800 and 10,000

1% of 8800 is 88 -> Eliminate a) and B) and we will try D) First.

88x14 = (80+8)(10+4) = 800+320+80+32 = 1232 (I used foil just to multiply 88x14 so that I won't make a mistake)
8800+1232 = 10,032 which is aprox 10,000

Thus 14% and D) is answer
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Re: A certain company's yearly revenue was 20% less in 2005 than in 2004. [#permalink]
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