Quantity I: In an examination, the average scores of P students are S. Later, it was discovered that the marks of 100 students were recorded inaccurately, which led to their marks decreasing from 75 to 45. Consequently, the average marks of all students in the class fell by 24 marks. Determine the total number of students, P.

Quantity II: A job can be completed by 25 men or 40 women in 25 days. A contractor hires 20 men and 24 women for the task, but every 10 days, 5 men and 8 women leave the job, due to which the work is completed in (L/18 + 15) days. Determine the value of L.

I. Difference between P and L = 5

II. P > L

III. P + L > 250