The average of $50$ numbers is $30.$ If two numbers, $35$ and $40$ are discarded, then the average of the remaining numbers is nearly.

The average of runs scored by a cricketer in his $99$ innings is $99.$ How many runs will he have to score in his $100^{\text {th }}$ innings so that his average of runs in $100$ innings may be $100 ?$

The bowling average of a cricketer was $12.4 .$ He improves his bowling average by $0.2$ points, when he takes $5$ wickets for $26$ runs in his last match. The number of wickets taken by him before the last match Was?

Ten years ago the average age of $P$ and $Q$ was $20\, years.$ Average age of $P, Q$ and $R$ is $30\, years$ now. After $10 \,years,$ the age of $R$ will be (in $years$)

The average weight of $10$ students is increased by half a $kg$ when one of the students weighing $50\, kg$ is replaced by a new student. Find out the weight of the new student.(in $kg$)

A cyclist goes from a place to another and returns by the same route. He pedals his way uniformly with speed $u$ while going and with speed $v$ while returning. The average speed of his journey is