The ratio of the number of boys to that of girls in a village is 3 : 2. If 30% of boys and 70% of girls appeared in an examination, the ratio of the number of students, appeared in the examination to that not appeared in the same examination is :

Solution(By Examveda Team)

According to the question,
Let the total number of students = 100
Ratio of Boys and Girls =$$\frac{3}{2}$$
Total number of Boy = $$\frac{3}{5} \times 100 = 60$$
Total number of Girl = $$\frac{2}{5} \times 100 = 40$$
30% of boy appeared in exam = 30% of 60 = 18
70% of girl appeared in exam = 70% of 40 = 28
Total number of student appeared in exam = 18 + 28 = 46
Students not appeared in exam = 100 - 46 = 54
$$\therefore \frac{{{\text{Ratio of students appeared in exam}}}}{{{\text{Not appeared in exam}}}}$$
= $$\frac{46}{54}$$
= $$\frac{23}{27}$$
= 23 : 27