In a batch of 50 students has ratio of Boys to Girls as 4:6. Average marks of Girls are 60 and Average marks of the batch is 62. Average Marks of Boys will be:

Let the number of boys be 4x and number of girls be 6x

Given, 4x+6x = 50

                   x = 5

Number of boys = 20 and number of girls = 30

Average marks of girls = 60

Total marks scored by girls = 60$$\times\ $$30 = 1800

Average marks score by batch = 62

Total marks scored by batch = 62$$\times\ $$50 = 3100

Marks scored by boys = 3100 - 1800 = 1300

Average marks of boys = $$\frac{1300}{20}$$ = 65

Answer is option D.