Karen is organising a party for a charity. She spends £100 on food, £120 on a hall, and £80 on a DJ. Karen sells 54 tickets for the party. Each ticket costs £7.50. Work out the per... Karen is organising a party for a charity. She spends £100 on food, £120 on a hall, and £80 on a DJ. Karen sells 54 tickets for the party. Each ticket costs £7.50. Work out the percentage profit Karen makes for the charity.
Understand the Problem
The question is asking to compute the percentage profit that Karen makes from the charity party after accounting for her expenses and ticket sales.
Answer
The percentage profit is \( 35\% \).
Answer for screen readers
The percentage profit Karen makes for the charity is ( 35% ).
Steps to Solve
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Calculate Total Expenses Add up the costs for food, hall, and DJ. [ \text{Total Expenses} = £100 + £120 + £80 = £300 ]
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Calculate Total Revenue from Ticket Sales Multiply the number of tickets sold by the price of each ticket. [ \text{Total Revenue} = 54 \times £7.50 = £405 ]
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Calculate Profit Subtract the total expenses from the total revenue to find the profit. [ \text{Profit} = \text{Total Revenue} - \text{Total Expenses} = £405 - £300 = £105 ]
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Calculate Percentage Profit Use the profit and total expenses to find the percentage profit. [ \text{Percentage Profit} = \left( \frac{\text{Profit}}{\text{Total Expenses}} \right) \times 100 = \left( \frac{£105}{£300} \right) \times 100 ] Calculating this gives: [ \text{Percentage Profit} = 35% ]
The percentage profit Karen makes for the charity is ( 35% ).
More Information
Karen successfully raised money for charity by organizing the party. This profit percentage indicates that she earned 35 pence for every pound spent on expenses.
Tips
- Forgetting to add all expenses together before calculating profit.
- Confusing revenue with profit; ensure to differentiate between both.
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