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.
Female teachers present at the festival is what percentage more or less than the number of female doctors present at the festival?
30%
Comparing Female Teachers and Female Doctors at the Festival
This question asks us to compare the number of female teachers to the number of female doctors at a summer festival in Shimla. We need to find out by what percentage the number of female teachers is less than the number of female doctors. First, let's calculate the number of female doctors and female teachers based on the information provided.
Calculating the Number of Female Doctors
The total number of visitors at the festival was 4000.
The percentage of visitors who were doctors is 12.5% of the total visitors.
Number of Doctors = $12.5\% \times 4000$
Number of Doctors = $\frac{12.5}{100} \times 4000 = \frac{1}{8} \times 4000 = 500$
Out of the doctors, 50% are females.
Number of Female Doctors = $50\% \times 500$
Number of Female Doctors = $\frac{50}{100} \times 500 = 0.5 \times 500 = 250$
Calculating the Number of Female Teachers
The percentage of visitors who were teachers is 25% of the total visitors.
Number of Teachers = $25\% \times 4000$
Number of Teachers = $\frac{25}{100} \times 4000 = 0.25 \times 4000 = 1000$
Out of the teachers, 82.5% are males.
Number of Male Teachers = $82.5\% \times 1000$
Number of Male Teachers = $\frac{82.5}{100} \times 1000 = 0.825 \times 1000 = 825$
The number of female teachers is the total number of teachers minus the number of male teachers.
Number of Female Teachers = Number of Teachers - Number of Male Teachers
Number of Female Teachers = $1000 - 825 = 175$
Comparing Female Teachers and Female Doctors
We have calculated:
- Number of Female Doctors = 250
- Number of Female Teachers = 175
We need to find what percentage more or less the number of female teachers is compared to the number of female doctors. First, let's find the difference.
Difference = Number of Female Doctors - Number of Female Teachers
Difference = $250 - 175 = 75$
Since the number of female teachers (175) is less than the number of female doctors (250), we need to calculate the percentage decrease relative to the number of female doctors.
Percentage Difference = $\frac{\text{Difference}}{\text{Number of Female Doctors}} \times 100\%
Percentage Difference = $\frac{75}{250} \times 100\%
Percentage Difference = $\frac{3}{10} \times 100\%
Percentage Difference = $30\%$
Therefore, the number of female teachers present at the festival is 30% less than the number of female doctors.
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?
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?
Important Questions from Caselet DI
Study the given table carefully and answer the following question.
The table shows the percentage of students of four departments - Mechanical, Civil, Computer Science and Applied - with each student being in only one department. The table also shows the number of students of these four departments in five different colleges, with the total number of students being 2080.
If the number of students in IIT Bombay is 20% less than the number of students in IIT Madras, then what is the difference between the total number of students who study in the Applied department in these two colleges and that of the students who study in the Civil department in these two colleges?College Students Mechanical Civil Computer Science Applied IIT Delhi 430 - 20% - 10% IIT Kanpur 350 20% - 25% - IIT Bombay - 20% 18% - 32% IIT Madras - - 25% 18% 35% IIT Guwahati 400 20% 22% - 20% How many students like only one vegetable?
A. 60
B. 61
C. 65
D. 71
The difference between the people who like carrot and cauliflower is
A. 6
B. 18
C. 16
D. 4What is the percentage of students that do not like cabbage?
A. 16
B. 32
C. 24
D. 68
What is the monthly electricity bill for a house with m rooms and consuming n units?
