Directions: Study the following information and answer the questions that follow : The graph given below represents the production (in tonnes) and sales (in tonnes) of Company A from 2006 to 2011. [Graph Data of Company A] | Year | Production (in tonnes) | Sales (in tonnes) | |---|---|---| | 2006 | 750 | 300 | | 2007 | 800 | 550 | | 2008 | 600 | 450 | | 2009 | 550 | 400 | | 2010 | 700 | 500 | | 2011 | 650 | 550 | The table given below represents the ratio of the production (in tonnes) of Company A to the production (in tonnes) of Company B, and the ratio of sales (in tonnes) of Company A to the sales (in tonnes) of Company B. | Year | Production (A : B) | Sales (A : B) | |---|---|---| | 2006 | 5 : 4 | 2 : 3 | | 2007 | 8 : 7 | 11 : 12 | | 2008 | 3 : 4 | 9 : 14 | | 2009 | 11 : 12 | 4 : 5 | | 2010 | 14 : 13 | 10 : 9 | | 2011 | 13 : 14 | 1 : 1 | What is the approximate percentage increase in the production of Company A (in tonnes) from the year 2009 to the production of Company A (in tonnes) in the year 2010 ?

### Concept & Percentage Increase To find the percentage increase between two values, calculate the difference and divide by the initial value: $$ \text{Percentage Increase} = \frac{\text{Final Value} - \text{Initial Value}}{\text{Initial Value}} \times 100 $$ ### Step-by-Step Solution * Identify the production of Company A in 2009 from the graph: $550$ tonnes. * Identify the production of Company A in 2010 from the graph: $700$ tonnes. * Calculate the increase in production: $700 - 550 = 150$ tonnes. * Substitute these values into the percentage increase formula: $\frac{150}{550} \times 100$. * Simplify the fraction: $\frac{15}{55} \times 100 = \frac{3}{11} \times 100$. * Calculate the final percentage: $3 \times 9.09\% \approx 27.27\%$. * The closest approximation is $27\%$. ### Exam Strategy & Shortcut Memorizing common fractional equivalents is highly effective. Knowing that $\frac{1}{11} \approx 9.09\%$ allows you to immediately evaluate $\frac{3}{11}$ as slightly over $27\%$ without resorting to long division. ### Common Pitfall A frequent error is dividing the increase by the final value instead of the initial base value, leading to an incorrect calculation of $\frac{150}{700}$. ### Final Answer Therefore, the correct answer is **27 %**.