The percentage of White, Black and Red Cars = 25 + 20 + 5 = 50%
Let us assume the car which is 40% more popular than black is a and total number of car is P.
According to question,
(P x a/100 ) - (P x 5/100) = P x 5/100 x 40/100
P(a - 5)x1/100 = P x 5/100 x 40/100
(a - 5) = 5 x 40/100
(a - 5) = 200/100 = 2
a - 5 = 2
a = 2 + 5 = 7
40% more popular than Black cars = 7% popular Silver cars.
Required difference = ( blue car % - golden car % )x420000/100
Required difference = (12 -10)/100 x 420000 = 2/100 x 420000 = 8400
In 2008, number of students in Arts = Total Student x 12%
In 2008, number of students in Arts = 35000x12 /100 = 4200
In 2009, number of students in Arts = Total Student x 11%
In 2009, number of students in Arts = 40000x11/100 = 4400
In 2008, number of students in Agriculture = Total Student x 7%
In 2008, number of students in Agriculture = 35000 x 7/100 = 2450
In 2009, number of students in Agriculture = Total Student x 5%
In 2009, number of students in Agriculture = 40000x5/100 = 2000
In 2008, number of students in Pharmacy = Total Student x 6%
In 2008, number of students in Pharmacy = 35000 x 6/100 = 2100
In 2009, number of students in Pharmacy = Total Student x 9%
In 2009, number of students in pharmacy = 9/100 x 40000 = 3600
Hence, in Agriculture there was decrease in the number of students from 2008 to 2009.
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
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%
If 3% increase in the production of Blue cars, then percentage of Blue cars = 12 + 3
Hence, percentage of (Blue + Red) cars = 15 + 20 = 35
Required percentage = number of students enrolled in Cooking classes x 100/ number of students enrolled in Dance classes
Required percentage = 22 x 100/21 = 104.76
Number of students enrolled in Painting classes = % of students enrolled in Painting classes x 100/ Number of total students
Number of students enrolled in Painting classes = 3600 x 15/10 = 540
Required ratio = ( % of students enrolled in Singing + % of students enrolled in Dancing classes)/% of students enrolled in Drama Classes
Required ratio = (18 + 21) : 13 = 39 : 13 = 3 : 1
The total number of students in Stitching and Drama Classes= ( % of students enrolled in Stitching + % of students enrolled in Drama classes) x 100/ Total number of students in all classes
Required number of students = (11 + 13) x 3600 / 100 = 24 x 36 = 864
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