A toy is priced at £48 after a 20% increase. Work out the original price of the toy.
(Total for Question 1 is 1 mark)
2
A jumper costs £30 after a 25% discount. Work out the jumper's price before the discount.
(Total for Question 2 is 1 mark)
3
A pair of trainers has been reduced by 10% and now costs £27. Work out the original price of the trainers.
(Total for Question 3 is 2 marks)
4
After a 20% reduction the sale price of a television is £288. Work out the price before the reduction.
(Total for Question 4 is 2 marks)
5
A shop increases the price of an item by 15%, then later reduces the new price by 10%. The final price is £103.50. Work out the original price before any change.
(Total for Question 5 is 3 marks)
6
A laptop costs £240 including 20% VAT. Work out the price of the laptop before VAT was added.
(Total for Question 6 is 3 marks)
7
A gadget costs £54 after an 8% price rise. Work out the price before the rise.
(Total for Question 7 is 3 marks)
8
A shop sets a selling price of £65 to make a 30% profit. Work out the cost price of the item to the shop.
(Total for Question 8 is 3 marks)
9
A jacket is on sale at 40% off and now costs £36. Work out the price of the jacket before the sale.
(Total for Question 9 is 3 marks)
10
A laptop originally costs £450. It is reduced by 20% and later increased by 10% on the reduced price. Work out the final selling price.
(Total for Question 10 is 3 marks)
Mark scheme · 5.3F Reverse Percentages: Foundation Tier Practice
Question 1
B1 40 cao
Answer: 40.00 or 40 pounds sterling (40.00 or 40) (cao = 40)
Question 2
B1 40 cao
Answer: 40 (pounds sterling) cao
Question 3
M1 divide 27 by 0.9 (or 90%) eg 27/0.9
A1 30 cao
Answer: 30 (pounds sterling) cao
Question 4
M1 divide 288 by 0.8 (or 80%) shown
A1 360 cao
Answer: 360 (pounds sterling) cao
Question 5
M1 use combined multiplier 1.15 * 0.90 = 1.035 or state equation x*1.035 = 103.5
M1 divide 103.5 by 1.035 or rearrange to x = 103.5/1.035
A1 100 cao
Answer: 100 (pounds sterling) cao
Question 6
M1 divide 240 by 1.20 (show method)
M1 obtain 200 (method shown correctly)
A1 200 cao
Answer: 200 (pounds sterling) cao
Question 7
M1 divide 54 by 1.08 or show 54 = original * 1.08
M1 calculate original = 54/1.08
A1 50 cao
Answer: 50 (pounds sterling) cao
Question 8
M1 recognise selling price = cost * 1.30
M1 divide 65 by 1.3 shown
A1 50 cao
Answer: 50 (pounds sterling) cao
Question 9
M1 divide 36 by 0.6 or show method using 60% = 0.6
M1 compute 36/0.6 = 60
A1 60 cao
Answer: 60 (pounds sterling) cao
Question 10
M1 find reduced price: 450 * 0.80 = 360 or show 20% of 450 = 90 then 450 - 90
M1 increase reduced price by 10%: 360 * 1.10 or show 10% of 360 = 36 then add