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Worksheet: Percentage Change

In this worksheet, we will practice calculating the percentage change between two quantities that have increased or decreased.

Q1:

A sports club’s entry ticket on a weekday costs $40, and, on the weekend, it costs $48. Determine the percentage discount to the nearest percent if Mason goes to the club on a weekday instead of a weekend.

Q2:

A sports club’s entry ticket on a weekday costs $16, and, on the weekend, it costs $23. Determine the percentage discount to the nearest percent if Mason goes to the club on a weekday instead of a weekend.

Q3:

A sports club’s entry ticket on a weekday costs $36, and, on the weekend, it costs $50. Determine the percentage discount to the nearest percent if William goes to the club on a weekday instead of a weekend.

Q4:

A store is having a sale on bicycles, where the original price of the bicycle is $195, and its sale price is $164.73. Determine the percentage discount to the nearest percent.

Q5:

A store is having a sale on bicycles, where the original price of the bicycle is $200, and its sale price is $190.22. Determine the percentage discount to the nearest percent.

Q6:

A store is having a sale on bicycles, where the original price of the bicycle is $134, and its sale price is $125.05. Determine the percentage discount to the nearest percent.

Q7:

A store is having a sale on bicycles, where the original price of the bicycle is $195, and its sale price is $181.13. Determine the percentage discount to the nearest percent.

Q8:

Find the percent of change from $735 to $545, rounding your answer to the nearest whole percent. Is this change an increase or a decrease?

  • A 3 5 % , increase
  • B 7 4 % , decrease
  • C 6 5 % , increase
  • D 2 6 % , decrease
  • E 2 6 % , increase

Q9:

Find the percent of change from $480 to $640, rounding your answer to the nearest whole percent. Is this change an increase or a decrease?

  • A 2 5 % , decrease
  • B 6 7 % , increase
  • C 7 5 % , decrease
  • D 3 3 % , increase
  • E 3 3 % , decrease

Q10:

Find the percent of change from $405 to $590, rounding your answer to the nearest whole percent. Is this change an increase or a decrease?

  • A 3 1 % , decrease
  • B 5 4 % , increase
  • C 6 9 % , decrease
  • D 4 6 % , increase
  • E 4 6 % , decrease

Q11:

Find the percent of change from $560 to $655, rounding your answer to the nearest whole percent. Is this change an increase or a decrease?

  • A 1 5 % , decrease
  • B 8 3 % , increase
  • C 8 5 % , decrease
  • D 1 7 % , increase
  • E 1 7 % , decrease

Q12:

Determine, to the nearest whole percent, the percent of change of $186.40 to $235. State whether it is an increase or a decrease.

  • A 2 1 % , decrease
  • B 7 4 % , increase
  • C 7 9 % , decrease
  • D 2 6 % , increase
  • E 2 6 % , decrease

Q13:

Determine, to the nearest whole percent, the percent of change of $334.90 to $360. State whether it is an increase or a decrease.

  • A 7 % , decrease
  • B 9 3 % , increase
  • C 9 3 % , decrease
  • D 7 % , increase

Q14:

Last year, Daniel could walk 4 miles in 100 minutes. Today, he can walk 4 miles in 80 minutes. Determine the percent of change and state whether it is an increase or a decrease.

  • A 8 0 % , decrease
  • B 2 5 % , increase
  • C 7 5 % , increase
  • D 2 0 % , decrease
  • E 1 2 % , increase

Q15:

At last year’s half marathon, Mason’s time was 2 hours and 6 minutes. This year, he ran the half marathon in 1 hour and 59 minutes. What percent of his previous time is this? Give your answer correct to one decimal place.

  • A 5 1 . 4 %
  • B 4 8 . 6 %
  • C 1 . 2 %
  • D 9 4 . 4 %
  • E 5 . 6 %

Q16:

A company spends 4 5 % of its expenditure on staff. Given that staff expenditure amounts to 13.5 million dollars, calculate the total expenditure of the company in millions of dollars. Give your answer correct to one decimal place if necessary.

  • A 10 million dollars
  • B 20 million dollars
  • C 40 million dollars
  • D 30 million dollars
  • E50 million dollars

Q17:

The table shows the number of hours Emma spent babysitting during the months of April and May. If she charges $6.50 per hour, determine the percent of change in the amount of money earned in that time period and whether it is an increase or a decrease.

Month April May
Hours Worked 40 50
  • A 2 0 % , increase
  • B 2 5 % , decrease
  • C 2 0 % , decrease
  • D 2 5 % , increase
  • E 8 0 % , increase

Q18:

At the start of a sale, Charlotte’s Shoes reduces prices by 2 0 % . After one week, the sale prices are reduced again by 2 5 % .

Victoria’s Footwear reduces its prices by 2 5 % at the start of the sale and then, after a week, reduces the sale prices by 2 0 % .

Compare the overall reduction in the two shops after week one of the sale.

  • AVictoria’s Footwear has the bigger overall reduction.
  • BCharlotte’s Shoes has the bigger overall reduction.
  • CThe overall reduction is the same.

Q19:

A salesman earned an annual salary of $34 550. This year, his salary will increase by 2 0 % . Determine the amount of money he will earn by the end of the year.

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