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Percentage Increase Decrease Practice

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Percentage Increase Decrease Practice

Show your working for each calculation. Give percentage answers to the nearest whole percent where needed, and include units for money and rates.

Calculating Percentage Changes

Use the original amount as the reference when finding a percentage change.

1.A tablet’s price rises from $960 to $1,104. What is the percentage increase?

2.A pair of trainers is reduced from $180 to $144. Find the percentage decrease.

3.A regional centre’s population grows from 12,500 to 13,250. Calculate the percentage increase.

4.A used ute loses value from $42,000 to $33,600 in a year. What percentage decrease in value is this?

Financial Applications

Apply percentage changes to prices, wages and business situations.

5.Kai’s annual salary changes from $72,000 to $77,400. Calculate the percentage pay rise.

6.A fridge priced at $1,250 is discounted by 24%. What is its sale price?

7.A shop pays $56 for a backpack and sells it for $70. What is the percentage markup on the cost price?

8.An apartment valued at $620,000 falls in value by 8%. Find its new value.

9.Compare these two discounts. Shop Red marks a $160 jacket down to $112. Shop Blue marks a $200 jacket down to $140. Which shop gives the greater percentage discount, or are they equal? Show your calculations.

Analysis and Explanation

Calculate each change, then explain what the numbers mean.

10.A business’s quarterly profit of $96,000 increases by 18%. Calculate the new profit and explain what the increase represents in dollars.

11.The price of petrol rises from $1.72 per litre to $1.89 per litre. Calculate the percentage increase to one decimal place, then state one likely effect on consumers.

12.A student’s score rises from 60% to 75%. Is this a 15% increase relative to the original score? Show a calculation and explain the difference between percentage points and percentage increase.