Today we are sharing questions based on Case Study. Try to solve this and share your marks.
Management college consists of 7200 students.
The ratio of boys to girls is 7:5, respectively.
All the students are enrolled in six different specializations viz., MBA (Finance), MBA (IT), MBA (HR), MBA (Operations), MBA (Marketing) and MBA (Entrepreneur).
22% of the total students are in MBA (Marketing).
16% of the girls are in MBA (IT).
18% of boys are in MBA (HR).
Girls in MBA (Entrepreneur) are 30% of the girls in MBA (IT).
15% of boys are in MBA (Finance).
Boys in MBA (IT) is 50% of the girls in the same.
15% of the girls are in MBA (Operations).
The ratio of the boys to girls in MBA (Entrepreneur) is 3:1 respectively.
24% of the total numbers of students are in MBA (Finance).
The ratio of boys to girls in MBA (Operations) is 12:5 respectively.
The ratio of boys to girls is 7:5, respectively.
All the students are enrolled in six different specializations viz., MBA (Finance), MBA (IT), MBA (HR), MBA (Operations), MBA (Marketing) and MBA (Entrepreneur).
22% of the total students are in MBA (Marketing).
16% of the girls are in MBA (IT).
18% of boys are in MBA (HR).
Girls in MBA (Entrepreneur) are 30% of the girls in MBA (IT).
15% of boys are in MBA (Finance).
Boys in MBA (IT) is 50% of the girls in the same.
15% of the girls are in MBA (Operations).
The ratio of the boys to girls in MBA (Entrepreneur) is 3:1 respectively.
24% of the total numbers of students are in MBA (Finance).
The ratio of boys to girls in MBA (Operations) is 12:5 respectively.
QUESTIONS
1) What is the total number of students enrolled in MBA (HR)?
a) 1062
b) 1530
c) 1584
d) 1728
e) 1800
2) The number of girls enrolled in MBA (Finance) forms approximately, what per cent of the total number of students in college?
a) 7%
b) 13%
c) 15%
d) 22%
e) 24%
3) What is the total number of girls enrolled in MBA (Marketing)?
a) 144
b) 306
c) 365
d) 480
e) 522
4) The number of boys enrolled in MBA (Operations) forms, what per cent of the total number of girls enrolled in MBA (IT)?
a) 187.5%
b) 200%
c) 212.5%
d) 225%
e) 232.5%
5) What is the total number of boys enrolled in MBA (Entrepreneur)?
a) 240
b) 432
c) 630
d) 756
e) 810
ANSWERS
1) Option – a; 1062
2) Option – c; 15%
3) Option – e; 522
4) Option – d; 225%
5) Option – b; 432
SOLUTIONS
Let’s try to find out the information from given data and formulate a table based on that.
Number of students in the college = 7200
Number of boys = 7/12 × 7200 = 4200
Number of girls = 5/12 × 7200 = 3000
Number of students in MBA (Marketing) = 22% of 7200 = 1584
Number of girls in MBA (IT) = 16% of 3000 = 480
Number of boys in MBA (HR) = 18% of 4200 = 756
Number of girls in MBA (Entrepreneur) = 30% of 480 = 144
Number of boys in MBA (Finance) = 15% of 4200 = 630
Number of boys in MBA (IT) = 50% of 480 = 240
Number of girls in MBA (Operations) = 15% of 3000 = 450
Number of boys in MBA (Entrepreneur) = 3/1 × 144 = 432
Number of students in MBA (Finance) = 24% of 7200 = 1728
=> Therefore, Number of girls in MBA (Finance) = 1728 – 630 = 1098
Number of boys in MBA (Operations) = 12/5 × 450 = 1080
Number of boys in MBA (Marketing) = Remaining number of boys
= 4200 – (756+630+240+432+1080)
= 4200 – 3138 =1062
=> Therefore, Number of girls in MBA (Marketing) = 1584 – 1062 = 522
Number of girls in MBA (HR) = Remaining number of girls = 3000 – (480 + 144 + 450 + 1098 + 522)
= 3000 -2694 = 306
TABULAR FORM:
SUBJECTS
|
NUMBER OF BOYS
|
NUMBER OF GIRLS
|
MBA(IT)
|
240
|
480
|
MBA(HR)
|
756
|
306
|
MBA(ENTREPRENEUR)
|
432
|
144
|
MBA(FINANCE)
|
630
|
1098
|
MBA(OPERATIONS)
|
1080
|
450
|
MBA(MARKETING)
|
1062
|
522
|
Total
|
4200
|
3000
|
1) From the table, it is clear that total number of students enrolled in MBA (HR) = 756 + 306 = 1062
2) Number of girls enrolled in MBA (Finance) = 1098
=> Required Percentage = 1098/7200 × 100% = 15.25% = 15%
3) Number of girls enrolled in MBA (Marketing) = 522
4) Number of boys enrolled in MBA (Operations) = 1080
Number of girls enrolled in MBA (IT) = 480
=> Required Percentage = 1080/480 × 100% = 225%
5) Total number of boys enrolled in MBA (Entrepreneur) = 432
