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Questions and Answers
What is the percentage of 120 that is 24?
What is the percentage of 120 that is 24?
- 30%
- 25% (correct)
- 20%
- 15%
If the cost price of an item is $200 and the selling price is $280, what is the profit percentage?
If the cost price of an item is $200 and the selling price is $280, what is the profit percentage?
- 25% (correct)
- 30%
- 20%
- 40%
What is the simplest form of the ratio 12:18?
What is the simplest form of the ratio 12:18?
- 2:3 (correct)
- 1:2
- 4:6
- 3:4
What is the loss percentage if the selling price of an item is $180 and the cost price is $200?
What is the loss percentage if the selling price of an item is $180 and the cost price is $200?
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Which of the following ratios are equivalent?
Which of the following ratios are equivalent?
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Study Notes
Percentage
- A percentage is a fraction with a denominator of 100.
- It represents a part of a whole as a fraction of 100.
- To find a percentage of a number, multiply the number by the percentage divided by 100.
- Example: 25% of 200 = (25/100) × 200 = 50
Profit and Loss
- Profit: The difference between the selling price and the cost price, when the selling price is greater.
- Loss: The difference between the cost price and the selling price, when the selling price is less.
- Formula:
- Profit = Selling Price - Cost Price
- Loss = Cost Price - Selling Price
- Profit Percentage: (Profit / Cost Price) × 100
- Loss Percentage: (Loss / Cost Price) × 100
Ratio and Proportion
- Ratio: A comparison of two quantities by dividing one by the other.
- Proportion: An equality of two ratios.
- Equivalent Ratios: Ratios that have the same value.
- Example: 2:4 is equivalent to 1:2
- Simplest Form of a Ratio: The ratio in its most basic form, where the HCF of the numerator and denominator is 1.
- Example: 4:6 in simplest form is 2:3
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Description
Learn the basics of math, including percentages, profit and loss calculations, and understanding ratios and proportions. Practice problems and examples to help you master these concepts.
