By what percentage (%), the total emissions of CO2 have increased from 2005 to…
2014
By what percentage (%), the total emissions of CO2 have increased from 2005 to 2009 ?
Answer: A. ~89.32% — ConceptPercentage increase always compares the change with the STARTING value: percentage increase = (final − initial) ÷ initial × 100. In a sector-wise…
- A.
~89.32%
- B.
~57.62%
- C.
~40.32%
- D.
~113.12%
Show answer & explanation
Correct answer: A
Concept
Percentage increase always compares the change with the STARTING value: percentage increase = (final − initial) ÷ initial × 100.
In a sector-wise table, the total for a year is the sum of every sector entry in that year's row, so both year totals must be formed before any comparison is made.
Application
Total emissions in 2005 = 500 + 200 + 150 + 80 + 100 = 1030 million metric tons.
Total emissions in 2009 = 800 + 450 + 320 + 200 + 180 = 1950 million metric tons.
Increase over the period = 1950 − 1030 = 920 million metric tons.
Percentage increase = (920 ÷ 1030) × 100 = 89.3204... ≈ 89.32 per cent.
Cross-check
Multiplying back confirms the figure: 1030 × 1.8932 ≈ 1950 million metric tons.
Dividing the rise by the 2009 total instead of the 2005 total gives 920 ÷ 1950 ≈ 47.18 per cent, which uses the wrong base.
The ratio 1950 ÷ 1030 = 1.8932, that is 189.32 per cent, expresses the 2009 total as a percentage of the 2005 total, not the increase over it.
So the total CO2 emissions rose by approximately 89.32 per cent between 2005 and 2009.