1. 1
   A clothing shop is analysing sales and pricing using percentages during a seasonal sale.

   (a)

   A shop sells 45 out of 180 T-shirts in stock during a sale. What percentage of the stock was sold?

   [1 mark]

   • A$25\%$
   • B$45\%$
   • C$20\%$
   • D$40\%$

   (b)

   A jacket originally priced at 80 dollars is reduced by $15\%$. What is the sale price?

   [1 mark]

   • A$92$ dollars
   • B$12$ dollars
   • C$65$ dollars
   • D$68$ dollars

   (c)

   Express $\frac{7}{20}$ as a percentage.

   [1 mark]

   • A$7\%$
   • B$35\%$
   • C$20\%$
   • D$70\%$

   Total for question 1: 3 marks

2. 2
   An electronics store is tracking price changes on a phone model over two consecutive price adjustments.

   (a)

   A phone originally cost 320 dollars. Its price increased by $12\%$. Calculate the new price.

   [2 marks]

   (b)

   The following month, the new price of 358.40 dollars is reduced by $12\%$. Calculate this reduced price and explain why it is not equal to the original price of 320 dollars.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   A charity is comparing its annual donation totals and needs to calculate percentage changes and reverse percentages to understand its funding history.

   (a)

   A charity's donations increased from 4200 dollars last year to 4830 dollars this year. Calculate the percentage increase in donations.

   [3 marks]

   (b)

   After a $15\%$ decrease the following year, the charity's donations became 4105.50 dollars. Use reverse percentages to find the donation total before this decrease.

   [3 marks]

   Total for question 3: 6 marks

4. 4
   A company is analysing its revenue over three years, involving multiple percentage increases and decreases, and comparing the overall change to a single equivalent percentage change.

   (a)

   A company's revenue was 250,000 dollars in Year 1. In Year 2, revenue increased by $8\%$. In Year 3, revenue decreased by $5\%$ from the Year 2 figure. Calculate the revenue at the end of Year 3.

   [4 marks]

   (b)

   Calculate the overall percentage change in revenue from Year 1 (250,000 dollars) to Year 3 (256,500 dollars, using your answer to part (a)), stating whether it is an increase or decrease.

   [4 marks]

   (c)

   Using a single multiplier method, show that combining an $8\%$ increase followed by a $5\%$ decrease gives an overall multiplier of $1.026$, and use this to verify your answer to part (b).

   [5 marks]

   Total for question 4: 13 marks

End of questions