Section A: Percentage Change
A car costs €9,999.90 before VAT (value added tax): Work out the cost including VAT if it is charged at 20%.
The population of the village increased from 234 to 275 during one year. Find the percentage increase.
Sally's investment of €450 has gone up by 30%, while Susie's investment of €650 has gone down by 10%. Who now has the larger amount of money, Sally or Susie?
When a beaker of sand is dried in a hot oven, its mass reduces from 1.2kg to 870g. Find the percentage reduction in its mass.
A train company increases its rail fares by 4% one year and by 6.5% the following year. Find the percentage increase in cost over the two years.
A battery was tested and found to power a camera for 12 hours before it needed recharging. An improved version of the battery powered the camera for an extra 30 minutes. Find the percentage increase in the life of the batteries.
Section C: Reverse Percentage Problems
A jacket is reduced by 12% to €66 in the sale. Find the original price.
The average cost of a local telephone call dropped by 8p to 27p. Find the percentage reduction in the average cost of a local call.
A baby's weight increases by 8% over a month from birth to 4.05kg. What was the weight at birth?
Section B: Increasing and Decreasing
Which product has the greatest original price? Show your working.
In a sale, all the prices are reduced by 30%. Calculate the sale price of the following items: a bike that cost €250 and a pair of gloves that cost €3.20.
20% of €10.00 is now €2.00.
30% of €5.00 is now €1.60.
In 2004, 180 parents applied to the school for a place for their child. The following year saw an increase of 35% in the number of applications. Find the number of applications in 2005.
The air pressure increases by 1.2% to 1,214.4 mbar. What was the original air pressure?
A dress in the sale is reduced by 7% to €60.45. What is the original price?
A stereo system is sold for €1,998 and an 11% profit is made. Find the original cost of the stereo.
Following the opening of a new supermarket nearby, the number of customers using the small store decreased by 21%. If 2,400 customers used to use the store each week, find the number of customers after the store opened.
A shop sells a television to a man and makes a 15% profit. The man sells it to another man for €414 at a loss of 10%. Find the original price of the television.
