Worksheet: Percentage Change

In this worksheet, we will practice finding percents of change and identifying them as either percents of increase or percents of decrease.

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 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.

Q3:

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

Q4:

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

Q5:

At last year’s half marathon, Nader’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 %

Q6:

A 40-metre piece of cloth shrinks by 1 5 % . What is the length of the cloth after shrinking?

Q7:

Find the simple interest earned on a savings account where $5,600 is deposited for 7 years if the interest rate is 1 0 % per year.

Q8:

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.

Q9:

The table shows the number of hours Sarah 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

Q10:

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

Q11:

Last year, Fares 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

Q12:

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

Megan’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 stores after week one of the sale.

  • AMegan’s Footwear has the bigger overall reduction.
  • BLucy’s Shoes has the bigger overall reduction.
  • CThe overall reduction is the same.

Q13:

In 2000, a seminar’s attendance was about 43‎ ‎900 people. If the attendance grew 1 3 % from 2000 to 2005, what was the approximate attendance in 2005?

Q14:

William invested $2,800 in a new business. Given that, after 27 months, he earned $630, determine the interest rate that was agreed upon.

Q15:

In a bank, the interest rate is 1 3 % per year. How much would Mason earn if he deposited $455 in his savings account for 9 1 3 years? Round your answer to the nearest cent.

Q16:

Mona wants to invest an amount of $1‎ ‎400. Her bank offers two savings plans that use simple interest. Account A has an interest of 9 % over 24 months, and Account B has an interest of 6 % over 12 months. If she wants to have $1‎ ‎600 by the end of the term, determine which account will help her achieve her goal.

  • AAccount A
  • BAccount B

Q17:

Sameh deposited $6‎ ‎800 into his bank account, which earned 9 % simple interest. How much will he have in his account after 19 years?

Q18:

Amelia bought new clothes for $360 for a new job using a credit card with an interest rate of 1 1 . 8 % . Determine the amount of money she will owe the bank if she makes no other charges on the card and does not pay off the balance at the end of the month.

Q19:

Sherif has $2‎ ‎100 and he wants to save up to buy a car. Sherif’s goal is to have $4‎ ‎000 after 9 years. Is this possible if he invests with a simple rate of return of 7 % ?

  • Ano
  • Byes

Q20:

A merchant purchased 25 metres of cloth at 50 LE a metre. He sold 8 4 % of the cloth at a 3 0 % profit, and the rest was sold for 2 0 % less than the merchant paid. Find the percentage profit or loss.

  • A 2 3 % profit
  • B 1 2 % profit
  • C 1 9 % profit
  • D 2 2 % profit

Q21:

An electronics store had a one-day sale of 1 4 % . Given that, on the following day, the sale price was increased by 1 4 % , determine, to the nearest cent, the price of a pair of headphones that originally cost $216.

Q22:

Find the percentage change from $835 to $690. Round to the nearest whole percent.

Q23:

Increase 40 by 1 2 . 2 % .

Q24:

Determine, to the nearest cent, the total price of a chair that costs $14.82 after a sales tax of 5 1 4 % is added.

Q25:

Ramy used 75 g of a chocolate containing 80% cocoa and 100 g of another type of chocolate containing 65% cocoa. He mixed the chocolate with 150 g of butter, 250 g of flour, 150 g of sugar, and 2 eggs weighing 50 g each. What is the percent of cocoa in his chocolate cake before he bakes it? Give your answer correct to one decimal place if necessary.

  • A16.1%
  • B21.2%
  • C17.2%
  • D15.2%
  • E22.6%

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