Solutions
Total number of boys = 200 * 3/5 = 120
Total number of girls = 200 * 2/5 = 80
Number of boys participated in singing = 20/100 * 120 = 24
Number of girls participated in Drama = 25/100 * 80 = 20
Number of boys participated in Drama = 2/1 * 20 = 40
Number of boys participated in Dance and speech = 120 – 24 – 40 = 56
Number of boys participated in Dance = 16 + (56 – 16)/2 = 36
Number of boys participated in Speech = 56 – 36 = 20
Number of girls participated in Dance = 54 – 36 = 18
Number of girls participated in Singing and Speech = 80 – 18 – 20 = 42
5x + 9x = 42
14x = 42
X = 3
Number of girls participated in singing = 3 * 5 = 15
Number of girls participated in speech = 3 * 9 = 27
Required percentage = (36 + 18)/(40 + 20) * 100
= 90%