The rent of a guest house was tk 50 per day for first three days tk 100 per day for next 5 days and tk 300 per day for other days. The registration fee in the beginning is tk If one has to pay tk1300, for how many days he availed of this facility?

Payment without the registration fee = 1300 - 50 = 1250 tk

Now, Total Cost of first 3 days = 3*50 = 150 tk

Total Cost of next 5 days = 5*100 = 500 tk

Thus, Total cost of first 8 days = 500+150 = 650 tk

We can see that the person surely stayed at least 8 days.

Remaider of the payment is = (1250-650) = 600 tk

Now, Afterward each day costs 300 tk.

Thus, with the remainder of money person could stay = (600/300) days

= 2 days

Thus, Total days of the person's stay = 8 + 2 = 10