Study the following information to answer these questions:
In a school consisting of 2800 children, the ratio of girls to boys is 4:3 respectively. All the children have taken
different hobby classes viz. Singing, Dancing, Painting and Cooking. 20 per cent of the boys take Painting classes.
The number of girls taking dancing classes is five-fourth of the number of boys taking the same. One-fourth of the
girls take cooking classes. The total number of students taking cooking classes is 700. Two fifth of the boys take
singing classes and the remaining boys take dancing classes. The girls taking singing classes is twice the number
of boys taking the same. The remaining girls take painting classes.
The number of boys taking cooking classes is what per cent of the total number of children in the school?

Correct option is C

Given :
Total students = 2800
 Ratio of girls to boys = 4:3
Total number of students taking cooking classes = 700

Formula used : Percentage = $$\frac{\text Part}{Whole}$$x 100​

Solution :
Total number of boys = $$\frac{3}{7}$$ x 2800=1400
Total number of students taking cooking classes = 700
Girls in Cooking =  $$\frac{1}{4}$$ x 1600 = 400
Boys taking cooking classes =700−400=300
Percentage of Boys Taking Cooking Classes = $$\frac{300}{2800}$$ x 100= 10.71%
Thus the correct answer is (C) 10.71%

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