Q. Study the following pie chart and answer the questions
The following pie charts give information about the percentage distribution of students enrolled in different graduation courses of a college and the percentage distribution of male students who are studying these courses.
Total number of male students=1600
1) It is known that the number of female students in the B.Design course is 82 less than the number of male students in the B.Design course. What is the difference between the number of male students in the B.Tech course and the number of female students in the BBA course?
A. 288
B. 312
C. 456
D. 582
E. None of these
Sol:
Total strength of male students=1600
From the given information, the number of male students in each course be calculated as:
Female students in B.Designare 82 less than the number of male students.
Number of female students in B.Design Course= 176-82=94
Total strength of B.Design batch=176+94=270
Total strength of B.Design is 9% of total number of students enrolled.
=> 9 % of total strength=270
=> Total strength of batch=3000
Number of students in BBA course=20% of 3000=600
Number of female students in BBA course=600-288=312
Difference between number of male students in
B.Tech and female students in BBA=768-312=456
2) In the next session, the number of seats in the B.Tech course is increased by 10% while seats in other courses remain the same. What is the ratio of the percentage of the number of students in B.Pharma and B.Tech in the next session?
A. 1:3
B. 7:20
C. 9:29
D. 10:33
E. 21:44
Sol:
Let the number of students in the present session be 100x
=> Number of students in B.Tech course=45x
=> Number of students in B.Pharma=15x
In the next session, the number of students in B.Tech is increased by 10% while others remain
the same.
=> Number of students in B.Tech in next session=49.5
=> Total number of students=104.5
Students in B.Pharma remain the same in the next year.
Ratio of B.Pharma Students and B.Tech
Students=15/49.5=10/33=10:33
3) 10% of students in B.Tech failed in their annual semester exam. The passing percentage of female students is 93.3 % while 96 students failed among male students. What is the total number of students in B.Tech who passed the exam?
A. 1190
B. 1201
C. 1225
D. 1280
E. 1234
Sol:
Let the number of students in B.Tech be ‘X’
Number of male students=768
=> Number of female students=X-768
Passing percentage among girls=93.3%
Percentage of girls who failed=100-93.3=6.7%
=> Number of girls who failed=0.067(X-768)
Failure percentage of entire batch=10%
Total number of students failed in entire
batch=0.1X
Also, number of failed male students=96
=> 96+0.067(X-768) =0.1X
=> 0.033X=1/30X=44.5
=> X=1335
Failed students percentage =10%
Number of students who passed the exam=90% of 1335=1201
4) The average number of students in B.Tech and B.Design is 810. After 2 months, 1/5th of the number of students shift from B.Design to B.Tech while 1/16th of male students shift from B.Tech to B.Design as a part of the special program of the college. What is the percentage of B.Design students in college after this program?
A. 7.5%
B. 8.0%
C. 8.5%
D. 8.8%
E. None of these
Sol:
Average percentage of students in B.Tech and
B.Design students= 54/2=27%
=> 27 % of total students=810
Total number of students in the campus=3000
=> Number of students in B.Tech=1350
=> Number of students in B.Design=270
1/5th of students shift from B.Design to B.Tech
i.e. 54
Number of male students in B.Tech= 768
(already calculated above)
1/16th of male students of B.Tech shift to
B.Design i.e. 48
Number of B.Design students in college after this
program=270-54+48= 264
Percentage of B.Design students in the college=264/3000*100 %= 8.8%
5) Number of male students from B.design is approximately what percentage more or less than the number of female students from Bsc. It is given that number of female students from BBA is 112.
A. 230%
B. 529%
C. 400%
D. 630%
E. None of these
Number of male students in BBA=
1600*18/100=288
Number of female students in BBA= 112
Total number of students in BBA = 400
20% of BBA= 400
100%=2000
Total number of students = 2000
Total number of students in Bsc=
2000*11/100=220
Number of female students = 28
Number of Male students in B.design = 176
Required percentage = (176-28)/28*100=529%
