Question

5.
The students of a university were classified according to faculty and gender. 60% of total 40,000
students were boys. The number of girls in engineering faculty was three times the number of
girls in commerce faculty. 15% and 10% of the total number of university students were boys
and girls respectively who belonged to medical faculty. 20% of the total number of students in
the university belonged to faculty of science and among these students, the number of girls were
one-seventh of the number of boys. 7% and 17% of the total number of students of arts faculty
were boys and girls respectively. 3.75% of the total number of students of the university belonged
to the commerce faculty and the proportion of boys and girls among them was 3:7.
Present the above data in an appropriate table.​

Answer 1

Given : The students of a university were classified according to faculty and gender.  

To find : Present the   data in an appropriate table.​

Solution:

Total = 40,000

Boys = (60/100)40,000  =  24,000

Girls = 40,000 - 24000 = 16000

15% and 10% of the total number of university students were boys

and girls respectively who belonged to medical faculty

Boys in Medical =  (15/100) 40,000 = 6000

Girls in Medical =  (10/100) 40,000 =  4000

20% of the total number of students in  the university belonged to faculty of science  = (20/100) 40,000 = 8000

and among these students, the number of girls were  one-seventh of the number of boys.    Boys : Girs = 7 : 1

Boys in Science = 7000 ,   Girls in Science = 1000

7% and 17% of the total number of students of arts faculty  were boys and girls respectively.

Boys in Arts  = (7/100) 40,000  =   2800

Girls in Arts  = (17/100) 400,00 =    6800

3.75% of the total number of students of the university belonged

to the commerce faculty  = (3.75/100) 40000 = 1500

boys and girls among them was 3:7.

=>  Boys in commerce = 450

    Girls in commerce  = 1050

The number of girls in engineering faculty was three times the number of

girls in commerce faculty.  

Girls in Engineering = 1050 * 3  = 3150

Subtract all from total to get Boys in Engineering =     7750        

                                        BOYS                 GIRLS

ENGINEERING                7750                    3150

MEDICAL                        6000                    4000

SCIENCE                         7000                    1000

COMMERCE                      450                     1050

ARTS                               2800                     6800

                                       24000                  16000

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