Given:
Graph which shows the ratio of the amount of imports by a company to the amount of exports from that company over the period from 2002 to 2009.
Formula used:
Percentage increase/decrease in a quantity is found by:
= \(\dfrac{Change}{Original} \times 100 \)
Calculation:
Ratio of amount of imports to exports by the company in 2002 = 0.5
Ratio of amount of imports to exports by the company in 2003 = 0.75
Ratio of amount of imports to exports by the company in 2004 = 0.45
Ratio of amount of imports to exports by the company in 2005 = 0.95
Ratio of amount of imports to exports by the company in 2006 = 0.85
Ratio of amount of imports to exports by the company in 2007 = 1.05
Ratio of amount of imports to exports by the company in 2008 = 0.65
Ratio of amount of imports to exports by the company in 2009 = 1.1
Percentage increase/decrease in amount of imports to exports of the company in 2003 to preceding year is:
= \(\dfrac{Change}{Original} \times 100 \)
= \(\dfrac{\text{Ratio in }2003 - \text {Ratio in }2002}{\text {Ratio in }2002} \times 100 \)
= \(\dfrac{0.75 - 0.5}{0.5} \times 100 \)
= \(\dfrac{0.25}{0.5} \times 100 \)
= \(\dfrac{1}{2}\times 100 \)
= 50% increase.
Percentage increase/decrease in amount of imports to exports of the company in 2004 to preceding year is:
= \(\dfrac{Change}{Original} \times 100 \)
= \(\dfrac{\text{Ratio in }2004 - \text {Ratio in }2003}{\text {Ratio in }2003} \times 100 \)
= \(\dfrac{0.45 - 0.75}{0.75} \times 100 \)
= \(\dfrac{-0.3}{0.75} \times 100 \)
= -3000 / 75
= 40% decrease.
Percentage increase/decrease in amount of imports to exports of the company in 2005 to preceding year is:
= \(\dfrac{Change}{Original} \times 100 \)
= \(\dfrac{\text{Ratio in }2005 - \text {Ratio in }2004}{\text {Ratio in }2004} \times 100 \)
= \(\dfrac{0.95 - 0.45}{0.45} \times 100 \)
= \(\dfrac{0.5}{0.45} \times 100 \)
= 5000 / 45
= \(111 \frac{1}{11}\)% increase.
Percentage increase/decrease in amount of imports to exports of the company in 2006 to preceding year is:
= \(\dfrac{Change}{Original} \times 100 \)
= \(\dfrac{\text{Ratio in }2006 - \text {Ratio in }2005}{\text {Ratio in }2005} \times 100 \)
= \(\dfrac{0.85 - 0.95}{0.95} \times 100 \)
= -1000 / 95
= \(10 \frac{10}{19}\)% decrease.
Percentage increase/decrease in amount of imports to exports of the company in 2007 to preceding year is:
= \(\dfrac{Change}{Original} \times 100 \)
= \(\dfrac{\text{Ratio in }2007 - \text {Ratio in }2006}{\text {Ratio in }2006} \times 100\)
= \(\dfrac{1.05 - 0.85}{0.85} \times 100 \)
= 2000 / 85
= \(20 \frac{6}{17} \)% increase.
Percentage increase/decrease in amount of imports to exports of the company in 2008 to preceding year is:
= \(\dfrac{Change}{Original} \times 100 \)
= \(\dfrac{\text{Ratio in }2008 - \text {Ratio in }2007}{\text {Ratio in }2007} \times 100\)
= \(\dfrac{0.65 - 1.05}{1.05} \times 100 \)
= -4000 / 105
= -800 / 21
= \(30 \frac{17}{21} \)% decrease.
Percentage increase/decrease in amount of imports to exports of the company in 2009 to preceding year is:
= \(\dfrac{Change}{Original} \times 100 \)
= \(\dfrac{\text{Ratio in }2009 - \text {Ratio in }2008}{\text {Ratio in }2008} \times 100\)
= \(\dfrac{1.1 - 0.65}{0.65} \times 100 \)
= 4500 / 65
= 900 / 13
= \(60 \frac{12}{13}\)% increase.
∴ 2005 has the highest percentage increase/decrease in the ratio of imports to exports as compared to the preceding year.