Understanding Cultural Event Expenses Calculation

This problem involves calculating expenses for a cultural event based on percentage distribution. We are given the percentage breakdown of expenses for different heads and the total amount spent on two specific heads. We need to find the total amount spent on another pair of heads.

Expense Distribution Table

Step-by-Step Solution

Step 1: Calculate the combined percentage for Tent Items and Lighting.

From the table, the expenses percentages are:

• Tent Item: 20%
• Lighting: 20%

The combined percentage for Tent Items and Lighting is:

$$ 20\% + 20\% = 40\% $$

Step 2: Relate the combined amount to the combined percentage.

We are given that the combined amount paid for Tent Items and Lighting was ₹ 24690.

This means that 40% of the total event expenditure is equal to ₹ 24690.

Step 3: Calculate the combined percentage for Food and Sound System.

From the table, the expenses percentages are:

• Food: 25%
• Sound System: 15%

The combined percentage for Food and Sound System is:

$$ 25\% + 15\% = 40\% $$

Step 4: Determine the combined amount for Food and Sound System.

We found that the combined percentage for Tent Items and Lighting is 40%, which amounts to ₹ 24690.

We also found that the combined percentage for Food and Sound System is 40%.

Since both pairs of heads represent the same percentage (40%) of the total expenditure, the amounts spent on them must also be the same.

Therefore, the combined amount paid for Food and the Sound System is equal to the combined amount paid for Tent Items and Lighting.

Combined amount for Food and Sound System = ₹ 24690.

Conclusion

The combined amount paid for Food and the Sound System is ₹ 24690.