A stadium has a capacity of 1800 seats. There are 300 seats each allotted for Rs. 300 tickets, 400 seats each for Rs. 450 tickets, 400 seats each for Rs. 500 tickets and the rest for Rs. 1000 tickets each. If all the tickets are sold, then how much money would be collected?

Options

A. Rs. 870000
B. Rs. 990000
C. Rs. 1050000
D. Rs. 1170000

Answer

To solve the problem step by step, we will calculate the total revenue generated from selling all the tickets in the stadium.

### Step 1: Identify the total number of seats in the stadium.
The total capacity of the stadium is given as 1800 seats.

### Step 2: Calculate the number of seats allotted for each ticket price.
- Seats for Rs. 300 tickets: 300 seats
- Seats for Rs. 450 tickets: 400 seats
- Seats for Rs. 500 tickets: 400 seats

### Step 3: Calculate the number of remaining seats for Rs. 1000 tickets.
To find the remaining seats, we first add the seats already allotted:
- Total seats allotted = 300 (for Rs. 300) + 400 (for Rs. 450) + 400 (for Rs. 500) = 1100 seats

Now, subtract this from the total capacity:
- Remaining seats = Total capacity - Total seats allotted
- Remaining seats = 1800 - 1100 = 700 seats

### Step 4: Calculate the total revenue from each category of tickets.
1. **Revenue from Rs. 300 tickets:**
\[ \text{Revenue} = \text{Number of seats} \times \text{Price per ticket} = 300 \times 300 = 90,000 \]

2. **Revenue from Rs. 450 tickets:**
\[ \text{Revenue} = 400 \times 450 = 180,000 \]

3. **Revenue from Rs. 500 tickets:**
\[ \text{Revenue} = 400 \times 500 = 200,000 \]

4. **Revenue from Rs. 1000 tickets:**
\[ \text{Revenue} = 700 \times 1000 = 700,000 \]

### Step 5: Calculate the total revenue collected from all tickets.
Now, we will add all the revenues calculated:
\[ \text{Total Revenue} = \text{Revenue from Rs. 300} + \text{Revenue from Rs. 450} + \text{Revenue from Rs. 500} + \text{Revenue from Rs. 1000} \]
\[ \text{Total Revenue} = 90,000 + 180,000 + 200,000 + 700,000 = 1,170,000 \]

### Final Answer:
The total money collected from selling all the tickets is Rs. 1,170,000.

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