The mess charges for 35 students for 24 days in Tk 6300. In how many days will the mess charges be Tk 3375 for 25 students?

Question: The mess charges for 35 students for 24 days in Tk 6300. In how many days will the mess charges be Tk 3375 for 25 students?

Solution:
Let C be the daily mess charge per student.
Given that mess charges for 35 students for 24 days is Tk 6300, the daily cost per student is = 6300/(35 × 24)
= 7.5

Now, to find how many days mess charges will be Tk 3375 for 25 students, we can use the daily cost per student (C):

The total mess charges for 25 students in D days is 3375 = 25 × C × D
⇒ D = 3375/(25 × 7.5)
= 18