Question

In a batch of 50 students, the ratio of Boys to Girls is $4:6$. The average marks of Girls are 60 and the average marks of the batch are 62. The average marks of Boys will be:

Accepted Answer

D. Let the number of boys be $4x$ and girls be $6x$. $4x + 6x = 50 \implies x = 5$. So, Boys = 20 and Girls = 30. Total marks of girls $= 30 	imes 60 = 1800$. Total marks of the entire batch $= 50 	imes 62 = 3100$. Total marks of boys $= 3100 - 1800 = 1300$. Average marks of boys $= \frac{1300}{20} = 65$.

Average Marks of Boys

Explanation

Practise this under exam conditions