Direction: Study the direction and answer the following questions. In a summer festival which was held in Shimla, there were 4000 visitors. 25% of the total number of visitors are unemployed and out of these 20% are females. 12.5% of the total number of visitors are doctors and out of these 50% are females. 25% of the total number of visitors are teachers out of which 82.5% are males. There are 1500 engineers present at the festival and the ratio of males and females is 8 : 7.
What is the difference between the number of male doctors and the number of male unemployed together and the number of female unemployed and female doctors together?
600
Summer Festival Visitor Analysis in Shimla
This problem involves analyzing visitor data from a summer festival in Shimla to find a specific difference between groups of visitors based on their profession and gender.
Initial Visitor Data
The total number of visitors at the festival was 4000.
Calculating Unemployed Visitors
First, let's determine the number of unemployed visitors:
- Percentage of unemployed visitors = 25%
- Number of unemployed visitors = $0.25 \times 4000$
- Number of unemployed visitors = 1000
Next, we find the number of females among the unemployed:
- Percentage of unemployed females = 20%
- Number of female unemployed = $0.20 \times 1000$
- Number of female unemployed = 200
Now, we calculate the number of males among the unemployed:
- Number of male unemployed = Total unemployed - Female unemployed
- Number of male unemployed = $1000 - 200$
- Number of male unemployed = 800
Calculating Doctor Visitors
Next, let's calculate the number of doctors:
- Percentage of doctors = 12.5%
- Number of doctors = $0.125 \times 4000$
- Number of doctors = 500
Now, we find the number of females among the doctors:
- Percentage of female doctors = 50%
- Number of female doctors = $0.50 \times 500$
- Number of female doctors = 250
Finally, we calculate the number of males among the doctors:
- Number of male doctors = Total doctors - Female doctors
- Number of male doctors = $500 - 250$
- Number of male doctors = 250
Calculating Target Group Totals
We need to find two combined groups:
- Group 1: Male doctors and male unemployed together.
- Group 2: Female unemployed and female doctors together.
Calculation for Group 1
Number of male doctors = 250
Number of male unemployed = 800
Total for Group 1 = Number of male doctors + Number of male unemployed
Total for Group 1 = $250 + 800 = 1050$
Calculation for Group 2
Number of female unemployed = 200
Number of female doctors = 250
Total for Group 2 = Number of female unemployed + Number of female doctors
Total for Group 2 = $200 + 250 = 450$
Finding the Difference
The question asks for the difference between Group 1 and Group 2:
- Difference = Total for Group 1 - Total for Group 2
- Difference = $1050 - 450$
- Difference = 600
Conclusion
The difference between the number of male doctors and the number of male unemployed together and the number of female unemployed and female doctors together is 600.
Similar Questions
What is the ratio between the number of unemployed males present at the festival to the number of female engineers present at the festival?
Female teachers present at the festival is what percentage more or less than the number of female doctors present at the festival?
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