A class of 36 students contributed Rs. 540 each for the picnic. Out of these, 7 students decided not to go. They were returned Rs. 490 each. What amount spent on the picnic ?

Answer

To solve the problem step by step, we will follow the outlined process:

### Step 1: Calculate the Total Amount Collected
First, we need to find out how much money was collected from all the students before any of them decided not to go to the picnic.

- **Number of students** = 36
- **Amount contributed by each student** = Rs. 540

To find the total amount collected, we multiply the number of students by the amount each contributed:

\[ \text{Total Amount Collected} = \text{Number of Students} \times \text{Amount per Student} \]
\[ \text{Total Amount Collected} = 36 \times 540 \]

Calculating this:

\[ 36 \times 540 = 19440 \]

So, the total amount collected is Rs. 19,440.

### Step 2: Calculate the Amount Returned to Students Who Did Not Go
Next, we need to find out how much money was returned to the students who decided not to go on the picnic.

- **Number of students who did not go** = 7
- **Amount returned to each student** = Rs. 490

To find the total amount returned, we multiply the number of students who did not go by the amount returned to each:

\[ \text{Total Amount Returned} = \text{Number of Students Not Going} \times \text{Amount Returned per Student} \]
\[ \text{Total Amount Returned} = 7 \times 490 \]

Calculating this:

\[ 7 \times 490 = 3430 \]

So, the total amount returned is Rs. 3,430.

### Step 3: Calculate the Amount Spent on the Picnic
Finally, we need to find out how much money was actually spent on the picnic. We do this by subtracting the total amount returned from the total amount collected:

\[ \text{Amount Spent on Picnic} = \text{Total Amount Collected} - \text{Total Amount Returned} \]
\[ \text{Amount Spent on Picnic} = 19440 - 3430 \]

Calculating this:

\[ 19440 - 3430 = 16010 \]

So, the amount spent on the picnic is Rs. 16,010.

### Summary of the Solution
- Total amount collected = Rs. 19,440
- Total amount returned = Rs. 3,430
- Amount spent on the picnic = Rs. 16,010