The students of class 7 of a school had a party. They spent Rs. 800 for a local band. If the students sold x tickets and cost of each ticket is Rs. 9, then what is the total profit, y (in Rs.) of the party ?

Options

A. `y=4x-800`
B. `y=9x-800`
C. `y=(800)/(9)-9x`
D. `y=9x+800`

Answer

To find the total profit \( y \) from the party, we can follow these steps:

### Step 1: Calculate the total revenue from ticket sales.
The total revenue from selling \( x \) tickets at a cost of Rs. 9 each can be calculated using the formula:
\[ \text{Total Revenue} = \text{Number of Tickets} \times \text{Cost per Ticket} \]
So, the total revenue is:
\[ \text{Total Revenue} = x \times 9 \]

### Step 2: Identify the total cost of the party.
The total cost of the party is given as Rs. 800, which is the amount spent on the local band.

### Step 3: Calculate the total profit.
The total profit \( y \) can be calculated using the formula:
\[ \text{Total Profit} = \text{Total Revenue} - \text{Total Cost} \]
Substituting the values we have:
\[ y = (x \times 9) - 800 \]

### Final Expression for Profit
Thus, the total profit \( y \) can be expressed as:
\[ y = 9x - 800 \]

### Summary
The total profit \( y \) from the party, based on the number of tickets sold \( x \), is given by the equation:
\[ y = 9x - 800 \]

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