In a group of 150 people, $$\frac{2}{5}$$ are men, $$\frac{1}{3}$$ are women and the rest are children. The average age of the women is $$\frac{4}{5}$$ of the average age of the men. The average age of the children is $$\frac{1}{5}$$ of the average age of the men. If the average age of the men is 50 years, then the average age of all the people in the group is:

Total number of people = 150

Number of men =$$\frac{2}{5}\times$$150 = 60

Average age of men = 50

$$\Rightarrow$$  Sum of the ages of men = 50 x 60 = 3000

Number of women = $$\frac{1}{3}\times$$150 = 50

The average age of the women is $$\frac{4}{5}$$ of the average age of the men

$$\Rightarrow$$  Average age of women = $$\frac{4}{5}\times$$50 = 40

$$\Rightarrow$$  Sum of the ages of women = 40 x 50 = 2000

Number of children = 150 - 60 - 50 = 40

The average age of the children is $$\frac{1}{5}$$ of the average age of the men

$$\Rightarrow$$  Average age of children = $$\frac{1}{5}\times$$50 = 10

$$\Rightarrow$$  Sum of the ages of children = 10 x 40 = 2000

Sum of ages of all the people = 3000 + 2000 + 400 = 5400

$$\therefore\ $$Average age of all the people = $$\frac{5400}{150}$$ = 36 years

Hence, the correct answer is Option D