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The percentage increase in demand of sug...

The percentage increase in demand of sugar was the lowest as compared to its previous year in

A

2011

B

2008

C

2009

D

2010

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The correct Answer is:
To solve the problem of finding the year with the lowest percentage increase in the demand for sugar, we will follow these steps: ### Step 1: Gather the data We need the demand for sugar for the years in question. Let's assume the demand for sugar for the years is as follows: - 2006: 43.3 - 2007: 47.2 - 2008: 49.5 - 2009: 53.4 - 2010: 54.5 - 2011: 62.7 ### Step 2: Calculate the percentage increase for each year The formula for percentage increase is: \[ \text{Percentage Increase} = \left( \frac{\text{Current Year Demand} - \text{Previous Year Demand}}{\text{Previous Year Demand}} \right) \times 100 \] #### For 2007: - Current Year Demand = 47.2 - Previous Year Demand = 43.3 \[ \text{Percentage Increase} = \left( \frac{47.2 - 43.3}{43.3} \right) \times 100 = \left( \frac{3.9}{43.3} \right) \times 100 \approx 9\% \] #### For 2008: - Current Year Demand = 49.5 - Previous Year Demand = 47.2 \[ \text{Percentage Increase} = \left( \frac{49.5 - 47.2}{47.2} \right) \times 100 = \left( \frac{2.3}{47.2} \right) \times 100 \approx 4.88\% \approx 4.8\% \] #### For 2009: - Current Year Demand = 53.4 - Previous Year Demand = 49.5 \[ \text{Percentage Increase} = \left( \frac{53.4 - 49.5}{49.5} \right) \times 100 = \left( \frac{3.9}{49.5} \right) \times 100 \approx 7.87\% \approx 7.8\% \] #### For 2010: - Current Year Demand = 54.5 - Previous Year Demand = 53.4 \[ \text{Percentage Increase} = \left( \frac{54.5 - 53.4}{53.4} \right) \times 100 = \left( \frac{1.1}{53.4} \right) \times 100 \approx 2.06\% \approx 2\% \] #### For 2011: - Current Year Demand = 62.7 - Previous Year Demand = 54.5 \[ \text{Percentage Increase} = \left( \frac{62.7 - 54.5}{54.5} \right) \times 100 = \left( \frac{8.2}{54.5} \right) \times 100 \approx 15\% \] ### Step 3: Compile the results Now we compile the percentage increases calculated: - 2007: 9% - 2008: 4.8% - 2009: 7.8% - 2010: 2% - 2011: 15% ### Step 4: Identify the lowest percentage increase From the compiled results, we see that: - The lowest percentage increase is for the year **2010** with **2%**. ### Conclusion The year with the lowest percentage increase in demand for sugar compared to the previous year is **2010**. ---
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