Repeated Percentage Change worksheet
10 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.
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3 marks
Callum buys a flat for £160,000.
In the first year the value of the flat rises by 25%.
In the second year the value of the flat falls by 5%.
Find the value of the flat at the end of the second year.
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4 marks
During 2017 the number of members of a gym fell by 40%.
During 2018 the number of members of the gym rose by 10%.
(a)Work out the single number that the number of members of the gym at the start of 2017 must be multiplied by to give the number of members of the gym at the end of 2018.
(b)Work out the overall percentage change in the number of members of the gym over the two years.
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5 marks
A music shop increases the price of everything it sells by 15%.
Three months later it reduces every price by 15% in a sale.
Before the increase, a guitar stand cost £196.
(a)Calculate the sale price of a guitar stand.
(b)Hafsa says that the sale price is the same as the price before the increase.
Explain why she is wrong.
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5 marks
Reuben invests £5,900 in a savings bond.
The value of the investment increases by 4% in the first year, by 6% in the second year and by 9% in the third year.
(a)Calculate the value of the investment at the end of the third year.
Give your answer to the nearest penny.
(b)Calculate the overall percentage increase over the three years.
Give your answer to 1 decimal place.
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3 marks
The number of members of a chess club fell by 20% during 2018.
During 2019 the number of members rose by 15%.
At the end of 2019 there were 368 members.
Calculate how many members the club had at the start of 2018.
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3 marks
Joel buys a flat for £92,000.
In the first year the value of the flat rises by 20%.
In the second year the value of the flat falls by 15%.
Find the value of the flat at the end of the second year.
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4 marks
During 2018 the number of trees in a wood rose by 20%.
During 2019 the number of trees in the wood fell by 35%.
(a)Calculate the single number that the number of trees in the wood at the start of 2018 must be multiplied by to give the number of trees in the wood at the end of 2019.
(b)Calculate the overall percentage change in the number of trees in the wood over the two years.
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5 marks
A sports shop increases the price of everything it sells by 5%.
Three months later it reduces every price by 5% in a sale.
Before the increase, a pair of running shoes cost £124.
(a)Find the sale price of a pair of running shoes.
(b)Erin says that the sale price is the same as the price before the increase.
Explain why she is wrong.
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5 marks
Priya invests £3,600 in a business start-up.
The value of the investment increases by 2% in the first year, by 9% in the second year and by 6% in the third year.
(a)Calculate the value of the investment at the end of the third year.
Give your answer correct to the nearest penny.
(b)Calculate the overall percentage increase over the three years.
Give your answer correct to 1 decimal place.
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3 marks
The number of members of a walking group fell by 20% during 2017.
During 2018 the number of members rose by 10%.
At the end of 2018 there were 1,628 members.
Calculate how many members the group had at the start of 2017.
Answers
- \(\text{£}190,000\)
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(a) \(0.66\)
(b) a 34% decrease -
(a) \(\text{£}191.59\)
(b) The 15% reduction is taken off £225.40, not off the original £196, so it takes off £33.81 when the increase only added £29.40. The sale price ends up 2.25% lower than the original price. -
(a) \(\text{£}7089.53\)
(b) \(20.2\%\) - \(400\)
- \(\text{£}93,840\)
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(a) \(0.78\)
(b) a 22% decrease -
(a) \(\text{£}123.69\)
(b) The 5% reduction is taken off £130.20, not off the original £124, so it takes off £6.51 when the increase only added £6.20. The sale price ends up 0.25% lower than the original price. -
(a) \(\text{£}4242.63\)
(b) \(17.9\%\) - \(1,850\)