The average weight of $45$ students in a class is $52\, kg.$ Five of them whose average weight is $48 \,kg$ leave the class and other $5\, students$ whose average weight is $54\, kg$ join the class. What is the new average weight (in $kg$ ) of the class
$52 \frac{1}{3}$
$52 \frac{1}{2}$
$52 \frac{2}{3}$
$52 \frac{3}{2}$
The average marks of Sameer decreased by $1,$ when he replaced the subject in which he has scored $40 \,marks$ by the other two subjects in which he has just scored $23$ and $ 25$ marks respectively. Later he has also included $57$ marks of Computer Science, then the average marks increased by $2.$ How many subjects were there initially?
Of the $3$ members whose average is $22 .$ What is the first number ?
The average salary of all the staff in an office of a corporate house is $Rs.\, 5,000$. The average salary of the officers is $Rs.\,14,000$ and that of the rest is $Rs.\,4,000.$ If the total number of staff is $500,$ the number of officers ?
Average age of $A, B$ and $C$ is $84\, years.$ When $D$ joins them the average age becomes $80\, years.$ A new person, $E,$ whose age is $4 \,years$ more than $D,$ replaces $A$ and the average of $B, C, D$ and $E$ becomes $78\, years.$ What is the age of $A$ ? (in $years$)
The average of six numbers is $20 .$ If one number is removed, the average becomes $15 .$ What is the number removed ?