Question

Q.24) In a group of 40 singers and 80 dancers,
20% of the singers are less than 25 years of
age and 40% of the entire group are less than
25 years of age. What percent of the dancers
are less than 25 years of age?​

Answer 1

Step-by-step explanation:

Group of 20 singers and 40 dancers

Number of singers = 20 person

Number of dancers = 40 person

20% of the singers are less than 25 years old. Thus, no. of singers under 25 years

20% of 20

= 20 × 20/100

= 4 singers

Total number of persons in the entire group

20 singers + 40 dancers = 60 person

40% of the entire group are under 25 years. Thus total no of persons under 25 years.

= 40% of 60

= 40 × 60/100

= 24 persons

Therefore, number of dancers under 25 years. 4 are the singers.

= 24 persons – 4 singers

= 20 dancers

Percentage of dancers under 25 years

20 × 100/40

= 50 %

Hence, there are 50% dancers, in the group, who are under 25 years age.

Answer: There are 50% dancers in the group who are under 25 years of age.