Profit & Loss: Problem Solving & Reasoning
Mathematics
GCSE Higher
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on Profit & Loss calculations, including problem solving and reasoning for GCSE Higher students.
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Profit & Loss: Problem Solving & Reasoning
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Introduction
1.
Profit occurs when selling price exceeds cost price, while loss occurs when selling price is less than cost price. The percentage profit or loss is calculated as (Profit or Loss / Cost Price) x 100%.
[1 mark]B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A shopkeeper bought an item for £50 and sold it for £65. Calculate the percentage profit made.
[2 marks]2.
An article is sold at a loss of 20% for £48. Find the original cost price.
[2 marks]3.
A retailer makes a profit of 15% on the cost price. If the selling price is £115, what is the cost price?
[2 marks]4.
Plot the graph of y = 2x for x from 0 to 10.
[3 marks]5.
Construct a triangle with sides 3cm, 4cm, and 5cm on the grid.
[3 marks]6.
A jacket originally costs £80 but is sold at a 25% discount. What is the selling price?
[2 marks]7.
A product is sold at a 10% profit, making a total of £22 profit. What is the cost price?
[2 marks]8.
A shop reduced the original price of an item by 15%, selling it for £34.45. Find the original price.
[2 marks]9.
An item sold for £120 at a 20% profit. What was the cost price?
[2 marks]10.
A retailer bought items at £25 each and sold them at a 12% profit. What was the selling price?
[2 marks]11.
A product originally costs £50 but is discounted by 30%. The new selling price is what?
[2 marks]12.
Error analysis: A student calculates profit as (£70 - £50)/£50 x 100% = 40%. Is this correct? If not, what mistake have they made?
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet