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).

The correct answer is 1152.

Let us break down the solution step-by-step using the data provided in the description and the pie charts:

Step 1: Extract basic details from the pie charts and note
From the first pie chart ("Total tickets sold"), we observe that the total number of tickets sold by all five cinema halls is 200, and their percentage distributions are:

• A: 20%
• B: 25%
• C: 10%
• D: 15%
• E: 30%

From the second pie chart ("Percentage distribution of the profit earned"), we get the distribution of the profits:

• A: 30%
• B: 10%
• C: 25%
• D: 20%
• E: 15%

The note states that the average profit of each ticket sold is Rs 30.

Step 2: Calculate the total profit earned
Since the total number of tickets sold is 200 and the average profit per ticket is Rs 30, we can calculate the total profit as:

$\text{Total Profit}=\text{Total tickets sold}\times \text{Average profit per ticket}$

$\text{Total Profit}=200\times 30=\text{Rs}6000$

Step 3: Find the number of tickets sold by A and D
Using the percentage values from the first pie chart:

$\text{Tickets sold by A}=20\%\text{of}200=\frac{20}{100}$

$\text{Tickets sold by D}=15\%\text{of}200=\frac{15}{100}$

Step 4: Determine the profit earned per ticket by cinema hall D
Using the percentage values from the second pie chart, the profit earned by cinema hall D is:

$\text{Profit of D}=20\%\text{of}6000=\frac{20}{100}$

Now, we can find the profit earned on each ticket sold by D:

$\text{Profit per ticket of D}=\frac{\text{Total Profit of D}}{\text{Tickets sold by D}}=\frac{1200}{30}=\text{Rs}40$

Step 5: Calculate the parameters for cinema hall X
We are given that:
1. The total number of tickets sold by X is 3/5th of those sold by A:

$\text{Tickets sold by X}=\frac{3}{5}\times 40=24$

2. The profit earned on each ticket sold by X is 20% more than that of D:

$\text{Profit per ticket of X}=40\times \left(1+\frac{20}{100}\right)=40\times 1.2=\text{Rs}48$

Step 6: Compute the total profit earned by X
Using the tickets sold by X and the profit earned per ticket of X:

$\text{Total profit earned by X}=\text{Tickets sold by X}\times \text{Profit per ticket of X}$

$\text{Total profit earned by X}=24\times 48=\text{Rs}1152$