In 2008, number of students in Engineering = Total Student x 18%
In 2008, the number of students in Engineering = 35000x18/100 = 6300
In 2009, number of students in Engineering = Total Student x 19%
In 2009, the number of student in Engineering =40000 x19/100 = 7600
Required percentage = (number of students in Engineering in 2009 - number of students in Engineering 2008) x 100 / number of students in Engineering in 2008
Required percentage = (7600 - 3600)x 100 /6300 = 1300/63 = 20.6 ? 20%
In 2008, number of students in Science = Total Student in 2008 x 24%
In 2008, number of students in Science = 35000 x 24% = 35000 x 24/100 = 8400
In 2009, number of students in Science = Total Student in 2009 x 22%
In 2009, number of students in Science = 40000 x 22% = 40000 x 22/100 = 8800
Increase in number of students of Science = 8800 - 8400 = 400
Hence, Increase percentage = 400 x 100 /8400 = 400/84 = 4.7%
Similary
Increase in number of students of Commerce = 24x40000/100 - 22x35000/100 = 9600 - 7700 = 1900
Hence, their increase percentage = 1900x100 /7700 = 1900/77 = 24.67%
Increase in number of student of Arts = 11/100 x 40000 - 12/100 x 35000 = 4400 - 4200 = 200
Hence , their increase percentage = 200/4200 x 100 = 4.67
Increase in number of student of Medicine = 10/100 x 40000 - 11/100 x 35000 = 4000 - 3850 = 150
Hence, their increase percentage = 150/3850 x 100 = 3.89%
So, in Medicine the percentage increase in the number of student was minimum from 2008 to 2009
In 2008, the number of students studying Arts and commerce together
= (12 + 22)/100 x 35000 = 34 x 350 = 11900
In 2009, the number of students studying Arts and Commerce together
= (11 + 24)/100 x 40000 = 35 x 400 = 14000
Hence, required percentage = 11900/14000 x 100 = 85%
In 2008, the number of students studying Pharmacy = 35000 x 6/100 = 2100
In 2009, the number of students studying Pharmacy = 9 x 40000 /100 x = 3600
Hence, their ratio = 2100 : 3600 = 7 : 12
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