Profit & Loss: Real-world Applications in Music & Sound
Mathematics
Year 9
16 questions
~32 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on Profit & Loss with contextual questions related to music and sound equipment. It covers basic calculations, multi-step problems, and real-world scenarios to deepen understanding of percentage change.
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Full preview • 16 questions
Profit & Loss: Real-world Applications in Music & Sound
Subject: MathematicsGrade: Year 9
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Date:
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Untitled Worksheet
Grade Year 9
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
A musician sells a sound system for $600, making a profit of 20%. What was the original cost price?
[2 marks]2.
A set of speakers was bought for $240 and sold at a loss of 15%. Find the selling price.
[2 marks]3.
Calculate the percentage profit made if a microphone costing $80 is sold for $96.
[2 marks]4.
A DJ equipment set was sold at a 25% loss for $150. Find the original cost price.
[2 marks]B
Problem Solving & Reasoning
Answer all questions. Show detailed working.
1.
A sound mixer is bought for $400. It is sold at a profit of 30%. Later, a repair costs $50. What is the overall percentage profit or loss?
[3 marks]2.
A music shop sells a keyboard for $720 after applying a 10% discount on the marked price. Find the marked price.
[2 marks]3.
If a speaker system originally costs $500 and the shop wants to make a profit of 25%, at what selling price should it be listed?
[2 marks]4.
A music producer buys headphones at a 20% discount and then sells them at a 15% profit. If the final selling price is $345, what was the original marked price?
[3 marks]C
Real-world Applications
Answer all questions with calculations or explanations as needed.
1.
A concert sound system was purchased for $1,200 and later sold for $1,000. What percentage loss was incurred? How could this impact a business’s profits?
[3 marks]2.
A musician’s amplifier is marked at $850. During a sale, it is sold at a 12% discount. Calculate the sale price and determine the profit or loss if the cost price was $700.
[4 marks]3.
A studio purchases microphones at a 15% discount on the list price of $150 each. If they sell each microphone for $135, what is the percentage profit or loss?
[2 marks]D
Challenge & Extension
Attempt these more difficult questions. Show all working.
1.
A DJ buys a set of sound equipment for $2,400 with a profit margin of 18%. After some repairs costing $200, he finally sells it for a profit of 22% on the total cost. What was the selling price?
[4 marks]2.
A music store offers a guitar amplifier at a 15% discount, marked at $850. If the store aims for a 25% profit margin on cost, what should be the minimum selling price assuming the cost price is $680?
[3 marks]E
Mixed Review
Solve these questions to review your understanding of profit and loss.
1.
A set of speakers was sold for $180, resulting in a 10% profit. Find the original cost price.
[2 marks]2.
A microphone costing $50 is sold for $60. What is the percentage profit?
[2 marks]F
Error Analysis
Identify and correct the common mistake in each problem.
1.
A shopkeeper sells a speaker at $85, claiming a profit of 20%. The cost price was listed as $70. Is this correct? If not, find the actual profit percentage.
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
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- • Add more questions (10 → 15)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet