Consider the following data with regard to production of cars (In lakhs): Year 2015 Year 2016 Country A 35 38 Country B 45 47 Country C 88 93 Country D 75 79 Country E 58 60.9
In which of the countries, the production of cars has increased by more than or equal to 5% in 2016 over 2015?
A, C, D and E
Analyzing Car Production Increase Percentage by Country
The question asks us to identify which countries experienced a car production increase of at least 5% in the year 2016 compared to the year 2015. We are given the production data (in lakhs) for five countries (A, B, C, D, E) for these two years.
Car Production Data Overview
First, let's present the given car production data in a clear table format:
| Year | Country A | Country B | Country C | Country D | Country E |
|---|---|---|---|---|---|
| 2015 | 35 | 45 | 88 | 75 | 58 |
| 2016 | 38 | 47 | 93 | 79 | 60.9 |
Calculating Percentage Increase in Car Production
To determine the countries that meet the condition, we need to calculate the percentage increase in production for each country from 2015 to 2016. The formula for percentage increase is:
\[ \text{Percentage Increase} = \frac{\text{Production in 2016} - \text{Production in 2015}}{\text{Production in 2015}} \times 100 \]
We need to find countries where this value is greater than or equal to 5%.
Step-by-step Calculation for Each Country:
- Country A:
- Increase = \(38 - 35 = 3\) lakhs
- Percentage Increase = \( \frac{3}{35} \times 100 \approx 8.57\% \)
- Since \(8.57\% \ge 5\%\), Country A meets the condition.
- Country B:
- Increase = \(47 - 45 = 2\) lakhs
- Percentage Increase = \( \frac{2}{45} \times 100 \approx 4.44\% \)
- Since \(4.44\% < 5\%\), Country B does not meet the condition.
- Country C:
- Increase = \(93 - 88 = 5\) lakhs
- Percentage Increase = \( \frac{5}{88} \times 100 \approx 5.68\% \)
- Since \(5.68\% \ge 5\%\), Country C meets the condition.
- Country D:
- Increase = \(79 - 75 = 4\) lakhs
- Percentage Increase = \( \frac{4}{75} \times 100 \approx 5.33\% \)
- Since \(5.33\% \ge 5\%\), Country D meets the condition.
- Country E:
- Increase = \(60.9 - 58 = 2.9\) lakhs
- Percentage Increase = \( \frac{2.9}{58} \times 100 = 5.00\% \)
- Since \(5.00\% \ge 5\%\), Country E meets the condition.
Conclusion on Production Increase
Based on the calculations, the countries where the production of cars has increased by more than or equal to 5% in 2016 over 2015 are:
- Country A (\( \approx 8.57\% \))
- Country C (\( \approx 5.68\% \))
- Country D (\( \approx 5.33\% \))
- Country E (\( 5.00\% \))
Therefore, the correct option includes Countries A, C, D, and E.
Similar Questions
The following table shows the marks of 90 students in a test of 80 marks:
Marks
Number of
Students
1 – 10
5
11 – 20
8
21 – 30
10
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13
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18
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17
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12
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7
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