Linear Equations Questions

A used two-wheeler-dealer sells a scooter for $\text{₹ }460$ and makes some loss. If he had sold it for $\text{₹ }580$, his profit would have been double of his loss. What was the cost price of the scooter?

The batting average for $30\text{ innings}$ of a cricket player is $40\text{ runs}$. His highest score exceeds his lowest score by $100\text{ runs}$. If these two innings are not included, the average of the remaining $28\text{ innings}$ is $38\text{ runs}$. Then the lowest score of the player is:

There are Senior officers and Secretaries in an office. If $15\text{ Secretaries}$ went on leave, then every Secretary has two Senior officers. After that $45\text{ Senior officers}$ went on leave and now every Senior officer has $5\text{ Secretaries}$. Then find out how many Secretaries were there initially.

A few students went on a trip and the total amount planned to be spent was $\text{₹ }96$. However, $4$ students did not turn up and as a result the remaining students had to contribute $\text{₹ }4$ extra. The number of students who attended the trip was: