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.

The total number of tickets sold by X is $\frac{3}{5}$th of the A. If the profit earned on each ticket sold by X is 20% more than that of D, then find the total profit earned by X (in Rs).

Correct Option: 1152

Let us analyze the given information step-by-step from the charts:

From the left pie chart (Pie Chart I), the total number of tickets sold on Sunday is 200.

Given that the average profit of each ticket sold is Rs 30, we can calculate the total profit earned by all five cinema halls combined:

$\text{Total Profit}=\text{Total tickets sold}\times \text{Average profit per ticket}$
$\text{Total Profit}=200\times 30=\text{Rs 6000}$

Now, let us calculate the details for Cinema Hall A and Cinema Hall D:

For Cinema Hall A:
According to Pie Chart I, the percentage of tickets sold by A is 20%.
$\text{Tickets sold by A}=20\%\text{of}200=\frac{20}{100}\times 200=40$

For Cinema Hall D:
According to Pie Chart I, the percentage of tickets sold by D is 15%.
$\text{Tickets sold by D}=15\%\text{of}200=\frac{15}{100}\times 200=30$
According to Pie Chart II, the percentage distribution of profit earned by D is 20%.
$\text{Total profit earned by D}=20\%\text{of Rs 6000}=\frac{20}{100}\times 6000=\text{Rs 1200}$
Now, find the profit earned on each ticket sold by D:
$\text{Profit per ticket for D}=\frac{\text{Total profit earned by D}}{\text{Tickets sold by D}}=\frac{1200}{30}=\text{Rs 40}$

Calculating values for Cinema Hall X:
The total number of tickets sold by X is $\frac{3}{5}$ th of the tickets sold by A.
$\text{Tickets sold by X}=\frac{3}{5}\times 40=24$
The profit earned on each ticket sold by X is 20% more than that of D.
$\text{Profit per ticket for X}=40\times (1+\frac{20}{100})=40\times 1.2=\text{Rs 48}$

Therefore, the total profit earned by X is:
$\text{Total profit of X}=\text{Tickets sold by X}\times \text{Profit per ticket for X}$
$\text{Total profit of X}=24\times 48=\text{Rs 1152}$