F. 3 maths percentage II

2013-09-25 6:16 pm
The net profit of a company declined at a rate of 12% per year from 2010 to 2012, then grew at a rate of 10% for every subsequent year. Given that the net profit of the company in 2015 is $5000000, find
(a) the net profit of the company in 2010,
(b) the overall percentage change in the net profit of the company from 2010 to 2015.

回答 (1)

2013-09-25 8:55 pm
✔ 最佳答案
(a) let profit be x in 2010,

{profit in 2011 :x(1-12%)
profit in 2012 : x(1-12%)(1-12%)
profit in 2013 : x(1-12%)^2 (1+10%)
profit in 2014 : x(1-12%)^2 (1+10%)(1+10%)
pforfit in 2015: x(1-12%)^2 (1+10%)(1+10%)(1+10%)= $5000000}

{}內的內容可以不寫,你可直接列出﹕

x(1-12)^2(1+10%)^3=$5000000
x=4850948

(b) (5000000-4850948)/4850948 =3.1%


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