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…

  1. A.

    ~89.32%

  2. B.

    ~57.62%

  3. C.

    ~40.32%

  4. 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

  1. Total emissions in 2005 = 500 + 200 + 150 + 80 + 100 = 1030 million metric tons.

  2. Total emissions in 2009 = 800 + 450 + 320 + 200 + 180 = 1950 million metric tons.

  3. Increase over the period = 1950 − 1030 = 920 million metric tons.

  4. 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.

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