Calculating Cultural Event Expense Difference

This problem involves calculating the difference between the amounts spent on the highest expense category and the sum of the amounts spent on the two lowest expense categories for a college cultural event. We are given the total expenditure and the percentage distribution of expenses across various heads.

Expense Data Analysis

The table below shows the percentage breakdown of expenses:

The total expenditure for the event is given as ₹ 43000.

Identifying Highest and Lowest Expense Heads

We need to find the head with the highest percentage and the heads with the lowest percentages:

• Highest Expense Percentage: 25% (Food)
• Lowest Expense Percentages: 10% (Invitation) and 10% (Poster Making)

Calculating Amount for Highest Expense Head

We calculate the monetary value of the highest expense percentage (Food):

Amount for Food = $\frac{25}{100} \times 43000$

Amount for Food = $0.25 \times 43000 = 10750$

The amount spent on Food is ₹ 10750.

Calculating Amounts for Lowest Expense Heads

Next, we calculate the monetary values for the two lowest expense percentages:

Amount for Invitation

Amount for Invitation = $\frac{10}{100} \times 43000$

Amount for Invitation = $0.10 \times 43000 = 4300$

The amount spent on Invitation is ₹ 4300.

Amount for Poster Making

Amount for Poster Making = $\frac{10}{100} \times 43000$

Amount for Poster Making = $0.10 \times 43000 = 4300$

The amount spent on Poster Making is ₹ 4300.

Calculating Combined Amount for Lowest Heads

We sum the amounts for the two lowest expense heads:

Sum of Lowest Amounts = Amount for Invitation + Amount for Poster Making

Sum of Lowest Amounts = $4300 + 4300 = 8600$

The combined amount for the two lowest expense heads is ₹ 8600.

Calculating the Final Difference

Finally, we find the difference between the highest amount and the sum of the two lowest amounts:

Difference = Amount for Food - Sum of Lowest Amounts

Difference = $10750 - 8600$

Difference = $2150$

The difference between the amount spent on the highest paid head and the combined amounts of the two lowest paid heads is ₹ 2150.