Question Details

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.

Find the difference between the profit earned on each ticket sold by A and B together and the profit earned on each ticket sold by D and E together (In Rs).

Options

A

0.5

B

1

C

2

D

4

E

3

Show Answer

Correct Answer :

Option C

2

2

Solution :

To find the difference between the profit earned on each ticket sold by A and B together and by D and E together, we can follow these steps:

Step 1: Calculate the total profit earned by all five cinema halls.
From the given information, we have:
Total tickets sold by all cinema halls = 200
Average profit of each ticket sold = Rs 30
Therefore, the total profit earned is:
Total Profit = 200 × 30 = Rs 6000

Step 2: Find the tickets sold and profits earned by A, B, D, and E.
Using the percentage values shown in the pie charts:
For Cinema Hall A:
- Tickets sold: 20% of 200 = 40 tickets
- Profit earned: 30% of Rs 6000 = Rs 1800
- Profit per ticket of A = 1800 / 40 = Rs 45

For Cinema Hall B:
- Tickets sold: 25% of 200 = 50 tickets
- Profit earned: 10% of Rs 6000 = Rs 600
- Profit per ticket of B = 600 / 50 = Rs 12

For Cinema Hall D:
- Tickets sold: 15% of 200 = 30 tickets
- Profit earned: 20% of Rs 6000 = Rs 1200
- Profit per ticket of D = 1200 / 30 = Rs 40

For Cinema Hall E:
- Tickets sold: 30% of 200 = 60 tickets
- Profit earned: 15% of Rs 6000 = Rs 900
- Profit per ticket of E = 900 / 60 = Rs 15

Step 3: Calculate the combined profit earned on each ticket.
The profit earned on each ticket sold by A and B together is:
45 + 12 = Rs 57
The profit earned on each ticket sold by D and E together is:
40 + 15 = Rs 55

Step 4: Find the difference.
Difference = 57 - 55 = Rs 2

Thus, the required difference is Rs 2.

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