Practice Problems Level 2

A student took five papers in an examination where the full marks were the same for each paper this marks in these papers were in the proportion $6 : 7 : 8 : 9 : 10$ In all the papers together the candidate obtained $60\%$ of the total marks Then the number of papers in which he got more than$50\%$ marks is.

Consider a class of $40$ students whose average weight is $40 kgs.$ $m$ new students join this class whose average weight is $n kgs$. If it is known that $m + n = 50,$ what is the maximum possible average weight of the class now?

The average score of a cricketer for ten matches is $38.9$ runs. If the average for the first six matches is $42,$then find the average for the last four matches.

The average age of all the $100$ employees in an office is $29$ years, where $\frac{2}{5}$ employees are ladies and the ratio of average age of men to women is $5:7$. The average age of female employees is

The average height of $6$ students is decreased by $2"$ when one of them with height of $6\text{'}3"$ is replaced by another student. This new student is again replaced by another student whose height is $9"$ lower than the student he replaced. What is the overall change in the average due to this dual change?

A grocer has a sale of $Rs 6435, Rs. 6927, Rs. 6855, Rs. 7230$ and $Rs. 6562$ for $5$ consecutive months. How much sale must he have in the sixth month so that he gets an average sale of $Rs, 6500 ?$

The average marks of Suresh reduced by one, when he replaced the subject in which he has scored $60$ marks less by the other two subjects in which he has scored $32$ and $36$ marks respectively. Later he has also included $57$ marks of English, then the average marks increased by two. How many subjects were there initially?

After travelling $50km,$ a train meets with an accident and travels at $(3/4)th$of the usual Speed and reaches $45$min late. Had the accident happened $10km$ further on it would have reached $35$min late. Find the usual Speed?