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
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%
Required number of female candidates = 5/9 x 49/100 x 15/100 x 300000 + 4/10 x 61/100 x 18/100 x 300000
= 12250 + 13176 = 25426
Required number of candidates = 65/100 x 12/100 x 300000 + 45/100 x 23/100 x 300000
= 23400 + 31050 = 54450
Percentage of people from village D having their favourite fruit as Banana and Guava together = 20 + 12 = 32%
Since, percentage of people from villege D having their other favourite fruit = 100 - 32 = 68%
Hence, required number of people = 20/100 x 5800 - 1/2 x 21/100 x 5800 = 986
Total number of people having their favourite fruit as apple and grapes together = (12 + 11)/100 x 5800 = 23 x 58 = 1334
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