Read the following table giving sales data of five types of batteries for years 2006 to 2012 Year Type I Type II Type III Type IV Type V 2006 75 144 114 102 108 2007 90 126 102 84 126 2008 96 114 75 105 135 2009 105 90 150 90 75 2010 90 75 135 75 90 2011 105 60 165 45 120 2012 115 85 160 100 145
Out of the following which type of battery achieved highest growth between the years 2006 and 2012?
Type I
Battery Sales Growth Analysis (2006-2012)
To determine which type of battery achieved the highest growth between the years 2006 and 2012, we need to analyze the sales data provided in the table. "Growth" in this context usually refers to the percentage increase in sales over the given period. We will calculate the percentage growth for each battery type from their sales in 2006 to their sales in 2012.
Understanding Battery Sales Data
The table below presents the sales figures for five types of batteries (Type I, Type II, Type III, Type IV, and Type V) across several years, from 2006 to 2012.
| Year | Type I | Type II | Type III | Type IV | Type V |
|---|---|---|---|---|---|
| 2006 | 75 | 144 | 114 | 102 | 108 |
| 2007 | 90 | 126 | 102 | 84 | 126 |
| 2008 | 96 | 114 | 75 | 105 | 135 |
| 2009 | 105 | 90 | 150 | 90 | 75 |
| 2010 | 90 | 75 | 135 | 75 | 90 |
| 2011 | 105 | 60 | 165 | 45 | 120 |
| 2012 | 115 | 85 | 160 | 100 | 145 |
Calculating Percentage Growth of Battery Types
To calculate the percentage growth for each battery type, we use the formula:
\( \text{Percentage Growth} = \frac{\text{Sales in 2012} - \text{Sales in 2006}}{\text{Sales in 2006}} \times 100 \)
- Growth for Type I Battery:
- Sales in 2006 = 75
- Sales in 2012 = 115
- Percentage Growth \( = \frac{115 - 75}{75} \times 100 = \frac{40}{75} \times 100 = 0.5333 \times 100 \approx 53.33\% \)
- Growth for Type II Battery:
- Sales in 2006 = 144
- Sales in 2012 = 85
- Percentage Growth \( = \frac{85 - 144}{144} \times 100 = \frac{-59}{144} \times 100 \approx -40.97\% \) (This indicates a decrease)
- Growth for Type III Battery:
- Sales in 2006 = 114
- Sales in 2012 = 160
- Percentage Growth \( = \frac{160 - 114}{114} \times 100 = \frac{46}{114} \times 100 \approx 40.35\% \)
- Growth for Type IV Battery:
- Sales in 2006 = 102
- Sales in 2012 = 100
- Percentage Growth \( = \frac{100 - 102}{102} \times 100 = \frac{-2}{102} \times 100 \approx -1.96\% \) (This indicates a decrease)
- Growth for Type V Battery:
- Sales in 2006 = 108
- Sales in 2012 = 145
- Percentage Growth \( = \frac{145 - 108}{108} \times 100 = \frac{37}{108} \times 100 \approx 34.26\% \)
Comparing Battery Growth Rates
Let's summarize the calculated percentage growth for each battery type:
| Battery Type | Percentage Growth (2006-2012) |
|---|---|
| Type I | \( \approx 53.33\% \) |
| Type II | \( \approx -40.97\% \) |
| Type III | \( \approx 40.35\% \) |
| Type IV | \( \approx -1.96\% \) |
| Type V | \( \approx 34.26\% \) |
Upon comparing the percentage growth rates, Type I battery shows the highest positive growth of approximately 53.33% between 2006 and 2012. Type II and Type IV batteries experienced a decline in sales.
Therefore, Type I battery achieved the highest growth.
The final answer is Type I.
Important Questions from Data Interpretation
The table shows the monthly expenditure of Saumya. What percent of her monthly salary is she able to save?
Expense Amount Food 5,000 Rent 20,000 Travel 10,000 Clothing 3,000 Miscellaneous 15,000 Savings 7,500 What does the height of the rectangle in a histogram show?
Following table provides figures (in rupees) on annual expenditure of a firm for two years – 2010 and 2011.
Category
2010
2011
Raw material
5200
6240
Power & fuel
7000
9450
Salary & wages
9000
12600
Plant & machinery
20000
25000
Advertising
15000
19500
Research & Development
22000
26400
In 2011, which of the following two categories have registered increase by same percentage?
Each of the letters arranged as below represents a unique integer from 1 to 9. The letters are positioned in the figure such that (A × B × C), (B × G × E) and (D × E × F) are equal. Which integer among the following choices cannot be represented by the letters A, B, C, D, E, F and G?
A
D
B
G
E
C
F
The time spent to study history and chemistry is 4 hours 30 minutes. Then the student studied physics for
