Cultural Event Expenses: Calculating Tent Items and Poster Making Cost

This solution breaks down the calculation for finding the total cost of 'Tent Items' and 'Poster Making' for a college cultural event. We use the provided expense percentages and the known cost of 'Lighting' to determine the combined amount.

Understanding the Expense Breakdown

The table outlines the percentage of total expenses allocated to different heads for the cultural event:

• Tent Item: 20%
• Sound System: 15%
• Invitation: 10%
• Lighting: 20%
• Food: 25%
• Poster Making: 10%

We are given that the amount spent on Lighting was ₹ 24690.

From the table, we know that 'Lighting' represents 20% of the total event expenses.

Step 1: Calculate the Total Event Expense

To find the combined cost of 'Tent Items' and 'Poster Making', we first need to determine the total expense (let's call it '$T$') of the cultural event.

We know that the expense for Lighting is 20% of the total expense:

Lighting Expense = 20% of T

Substituting the given value:

₹ 24690 = 0.20 \times T

Now, we solve for '$T$':

$T = \frac{₹ 24690}{0.20}$

Since $0.20 = \frac{20}{100} = \frac{1}{5}$, the calculation is:

$T = ₹ 24690 \times 5$

$T = ₹ 123450$

So, the total expense for the event was ₹ 123450.

Step 2: Calculate the Combined Cost for Tent Items and Poster Making

Next, we need to find the total amount paid for 'Tent Items' and 'Poster Making'.

According to the table:

• Tent Items cost = 20% of Total Expense
• Poster Making cost = 10% of Total Expense

The combined percentage for these two heads is:

Combined Percentage = 20\% + 10\% = 30\%

Now, we calculate 30% of the total expense '$T$':

Combined Cost = 30\% \text{ of } ₹ 123450

Combined Cost = 0.30 \times ₹ 123450

Combined Cost = ₹ 37035

Alternative Calculation Method

We can also solve this by comparing the percentages directly:

We know 20% (Lighting) = ₹ 24690.

Since 'Tent Items' also cost 20%, the Tent Items cost is ₹ 24690.

'Poster Making' costs 10%, which is half of the 20% cost of Lighting.

Poster Making Cost = \frac{1}{2} \times \text{Lighting Cost}

Poster Making Cost = \frac{1}{2} \times ₹ 24690

Poster Making Cost = ₹ 12345

The total amount for Tent Items and Poster Making is the sum of their individual costs:

Total Amount = Tent Items Cost + Poster Making Cost

Total Amount = ₹ 24690 + ₹ 12345

Total Amount = ₹ 37035

Both methods confirm that the total amount paid for Tent Items and Poster Making is ₹ 37035.