Read the following pie charts carefully and answer the questions given below.The pie chart (I) shows the percentage distribution of the total number of tickets sold by five different cinema halls on Sunday. The pie chart (II) shows the percentage distribution of the profit earned by these cinema halls on Sunday.

Note: The average profit of each ticket sold is Rs 30.

If the total profit earned by F is 33.33% more than that of A, and the total tickets sold by C is 40% of the total tickets sold by F, then find the profit on each ticket sold by F (in Rs).

From the given pie charts, we can extract the following initial values:
1. Total tickets sold by all five cinema halls (A, B, C, D, and E) = 200
2. The percentage distribution of tickets sold shows:
   • A: 20%
   • B: 25%
   • C: 10%
   • D: 15%
   • E: 30%
3. The percentage distribution of profit earned shows:
   • A: 30%
   • B: 10%
   • C: 25%
   • D: 20%
   • E: 15%
4. The average profit of each ticket sold across all cinema halls is Rs 30.

Step 1: Calculate the total profit earned by all five cinema halls together
Since the total number of tickets sold is 200 and the average profit per ticket is Rs 30, we have:
$\text{Total Profit}=\text{Total tickets sold}\times \text{Average profit per ticket}$
$\text{Total Profit}=200\times 30=\text{Rs 6000}$

Step 2: Find the profit earned by cinema hall A
From the profit distribution pie chart, cinema hall A earns 30% of the total profit:
${\mathrm{Profit}}_A=30\%\text{of}6000$
${\mathrm{Profit}}_A=\frac{30}{100}\times 6000=\text{Rs 1800}$

Step 3: Find the total profit earned by cinema hall F
We are given that the total profit of F is 33.33% (which is equivalent to $\frac{1}{3}$) more than that of A:
${\mathrm{Profit}}_F={\mathrm{Profit}}_A\times (1+33.33\%)$
${\mathrm{Profit}}_F=1800\times (1+\frac{1}{3})$
${\mathrm{Profit}}_F=1800\times \frac{4}{3}=\text{Rs 2400}$

Step 4: Find the total number of tickets sold by cinema hall C
From the tickets sold pie chart, cinema hall C sold 10% of the total tickets:
${\mathrm{Tickets}}_C=10\%\text{of}200=20$

Step 5: Find the total number of tickets sold by cinema hall F
We are given that the total tickets sold by C is 40% of the total tickets sold by F:
${\mathrm{Tickets}}_C=40\%\text{of}{\mathrm{Tickets}}_F$
$20=0.40\times {\mathrm{Tickets}}_F$
${\mathrm{Tickets}}_F=\frac{20}{0.40}=50$

Step 6: Find the profit on each ticket sold by F
The profit per ticket is the total profit divided by the total number of tickets sold:
$\text{Profit per ticket sold by F}=\frac{{\mathrm{Profit}}_F}{{\mathrm{Tickets}}_F}$
$\text{Profit per ticket sold by F}=\frac{2400}{50}=\text{Rs 48}$

Therefore, the correct answer is 48.