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
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 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
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
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.
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
Required percentage = % of students enrolled in Painting classes x 100/% of students enrolled in Singing classes
Required percentage = 15/18 x 100 = 83.33 = 83%
Number of candidates appeared from State G = Total number of candidates x % of appeared students from state G.
Number of candidates appeared from State G = 3,00,000 x 7/100
Number of candidates qualified from State G = Number of candidates appeared from State G x % qualified from state G
Number of candidates qualified from State G = 3,00,000 x 7/100 x 48/100
Number of candidates qualified from State G = 30 x 7 x 48 = 10080
Number of male candidates qualified from State G = Number of candidates qualified from State G x Ratio of male qualified / total Ratio
Number of male candidates qualified from State G = 10080 x 9 /(9 + 11) = 10080 x 9/20 = 4536
Qualified Male Candidates from different states
A ? 4/9 x 49/100 x 15/100 x 300000 = 9800
B ? 6/10 x 61/100 x 18/100 x 300000 = 19764
C ? 3/5 x 45/100 x 23/100 x 300000 = 18630
E ? x 7/13 x 65/100 x 12/100 x 300000 = 12600
F ? 11/19 x 57/100 x 19/100 x 300000 = 18810
G ? 9/20 x 48/100 x 7/100 x 300000 = 4536
Hence, State C and G have equal number of qualified male candidates
Number of Candidates qualified from States A and C together
= 49/100 x 15/100 x 300000 + 61/100 x 18/100 x 300000
= 22050 + 32940 = 54990
Required percentage = 54990/300000 x 100 = 18.33%
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