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).
Correct Answer :
48
Solution :
Based on the provided charts and the given note, we can solve the problem step-by-step:
1. Calculate the total profit earned:
From the first pie chart, the total number of tickets sold by all five cinema halls (A, B, C, D, and E) is 200.
According to the note, the average profit of each ticket sold is Rs 30.
Therefore, the total profit earned by all five cinema halls on Sunday is given by:
2. Calculate the total profit earned by cinema hall A:
From the second pie chart (Percentage distribution of the profit earned), the percentage share of profit earned by A is 30%.
Thus, the total profit earned by A is:
3. Calculate the total profit earned by cinema hall F:
The profit earned by F is 33.33% (which is equivalent to ) more than that of A.
So, the total profit earned by F is:
4. Calculate the number of tickets sold by cinema hall C:
From the first pie chart (Total tickets sold = 200), the percentage of tickets sold by C is 10%.
So, the number of tickets sold by C is:
5. Calculate the total tickets sold by cinema hall F:
We are given that the tickets sold by C is 40% of the total tickets sold by F.
Let be the total tickets sold by F.
6. Find the profit on each ticket sold by F:
The profit per ticket sold by F is the total profit earned by F divided by the total tickets sold by F:
Thus, the profit on each ticket sold by F is Rs 48.
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