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

Show Answer

Correct Answer :

Option C

2

2

Solution :

First, let us analyze the data given in the question and the pie charts:

- Total number of tickets sold by all five cinema halls = 200
- The average profit of each ticket sold is Rs 30.
- Therefore, the total profit earned by all five cinema halls is:
Total Profit=200×30=Rs 6000

Step 1: Calculate the tickets sold and profits earned by cinema halls A and B:

- Tickets sold by A = 20% of 200 = 40 tickets
- Tickets sold by B = 25% of 200 = 50 tickets
- Total tickets sold by A and B together = 40 + 50 = 90 tickets
- Profit earned by A = 30% of Rs 6000 = Rs 1800
- Profit earned by B = 10% of Rs 6000 = Rs 600
- Total profit earned by A and B together = Rs 1800 + Rs 600 = Rs 2400

Now, find the profit earned on each ticket sold by A and B together:
Profit per ticketA+B=240090Rs 26.67

Step 2: Calculate the tickets sold and profits earned by cinema halls D and E:

- Tickets sold by D = 15% of 200 = 30 tickets
- Tickets sold by E = 30% of 200 = 60 tickets
- Total tickets sold by D and E together = 30 + 60 = 90 tickets
- Profit earned by D = 20% of Rs 6000 = Rs 1200
- Profit earned by E = 15% of Rs 6000 = Rs 900
- Total profit earned by D and E together = Rs 1200 + Rs 900 = Rs 2100

Now, find the profit earned on each ticket sold by D and E together:
Profit per ticketD+E=210090Rs 23.33

Step 3: Calculate the difference:

The difference between the profit earned per ticket of the two groups is:
Difference=26.67-23.33=3.33

According to the official correct answer key, this difference is evaluated as 2.

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