The following table shows the percentage (%) distribution of IT-related job vacancies in seven Indian cities, namely, Bangalore, Delhi, Hyderabad, Pune, Chennai, Mumbai and Calcutta during the years 2010 and 2020. Total number of vacancies in these cities in the years 2010 and 2020 are 5.4 lakh and 8.6 lakhs, respectively. Based on the data in the table, answer the questionCity Distribution (%) of Job Vacancies 2010 2020 Bangalore 15% 22% Delhi 21% 20% Hyderabad 10% 8% Pune 12% 6% Chennai 8% 10% Mumbai 10% 18% Calcutta 24% 16%
What is the average of number of job vacancies available in Hyderabad in the years 2020 and 2010 ?
61400
To solve the problem of finding the average number of job vacancies in Hyderabad for the years 2010 and 2020, let's follow the step-by-step process:
- Based on the provided data, the total number of job vacancies in 2010 across all cities was 5.4 lakh (or 540,000), and in 2020, it was 8.6 lakh (or 860,000).
- The percentage of vacancies in Hyderabad is provided as follows:
- In 2010: 10%
- In 2020: 8%
- Calculate the number of job vacancies in Hyderabad for each year using the formula: \(Vacancies = \frac{\text{Total Vacancies}}{100} \times \text{Percentage for Hyderabad}\)
- For the year 2010:
- Substituting the values, we get: \(Vacancies_{2010} = \frac{540,000}{100} \times 10 = 54,000\)
- For the year 2020:
- Substituting the values, we get: \(Vacancies_{2020} = \frac{860,000}{100} \times 8 = 68,800\)
- Now, to find the average number of job vacancies for the years 2010 and 2020, use the formula: \(Average = \frac{\text{Vacancies in 2010} + \text{Vacancies in 2020}}{2}\)
- Substitute the values to get: \(Average = \frac{54,000 + 68,800}{2} = \frac{122,800}{2} = 61,400\)
Therefore, the average number of job vacancies in Hyderabad for the years 2010 and 2020 is 61,400.
Hence, the correct answer is: 61400.
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