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Real-Life Percentage Problems

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Real-Life Percentage Problems

Use percentage multipliers and show your working. Round money to the nearest cent unless a question says otherwise. Assume all prices are in New Zealand dollars.

Plan the event budget

A community group is organising a weekend event. They need to compare costs, estimate revenue and make sensible decisions.

1.The group buys a sound system for $680 before GST. New Zealand GST is 15%. Calculate the price including GST.
2.A supplier quotes $575 including GST for a marquee. Calculate the price before GST.
3.A catering package is listed at $1,240. A 12.5% discount is offered. What is the discounted price?
4.After a 20% discount, a hire company charges $864 for lighting. What was the original price before the discount?

Check the projections

The group uses these estimates to decide whether the event can cover its costs.

5.Ticket revenue is expected to rise from $4,800 to $5,520 after extra promotion. Calculate the percentage increase.
6.The first estimate for security costs was $1,350. The final quote is $1,161. Calculate the percentage decrease from the estimate.
7.Ticket sales of $6,000 increase by 10% in the first month, then by a further 10% in the next month. Find the final sales amount and the total percentage increase from the original amount.
8.A volunteer claims that increasing a $200 budget by 25% and then decreasing the new amount by 25% returns it to $200. Is the claim correct? Calculate the final amount and explain.

Make a decision

Use percentages to compare options and check whether the event has enough funds.

9.The event has a total budget of $9,200. It has spent $7,130 so far. What percentage of the budget remains unspent?
10.A local business offers either $180 off a $1,200 equipment hire, or 14% off the same hire. Which offer saves more, and by how much?
  • $180 off saves $12 more
  • 14% off saves $12 more
  • Both save the same amount
  • $180 off saves $12 less
11.Explain why calculating 15% of a GST-inclusive price does not give the GST amount. Use the $575 marquee price from this worksheet as an example.

3 printable pages

  • Real-Life Percentage Problems, page 1 of 3: Plan the event budget

    Page 1

  • Real-Life Percentage Problems, page 2 of 3: Check the projections

    Page 2

  • Real-Life Percentage Problems, page 3 of 3: Make a decision

    Page 3

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