Podcast
Questions and Answers
A store marks up a product by 25% and then offers a 10% discount. What is the overall percentage change in price from the original cost?
A store marks up a product by 25% and then offers a 10% discount. What is the overall percentage change in price from the original cost?
12.5%
A recipe requires 200g of sugar, but you only have 160g. What percentage decrease in sugar do you have?
A recipe requires 200g of sugar, but you only have 160g. What percentage decrease in sugar do you have?
20%
An item's price increased from $20 to $25. What is the percentage increase?
An item's price increased from $20 to $25. What is the percentage increase?
25%
After a 15% price reduction, a shirt sells for $17. What was the original price of the shirt?
After a 15% price reduction, a shirt sells for $17. What was the original price of the shirt?
A company's revenue increased by 20% one year and decreased by 10% the next. What is the overall percentage change in revenue over the two years?
A company's revenue increased by 20% one year and decreased by 10% the next. What is the overall percentage change in revenue over the two years?
If 30% of a number is 60, what is 75% of the same number?
If 30% of a number is 60, what is 75% of the same number?
A store buys an item for $80 and sells it for $120. What is the percentage markup?
A store buys an item for $80 and sells it for $120. What is the percentage markup?
What single percentage change is equivalent to a successive discount of 20% and then 10%?
What single percentage change is equivalent to a successive discount of 20% and then 10%?
John estimates a distance to be 300 miles, but the actual distance is 250 miles. Calculate John's percentage error.
John estimates a distance to be 300 miles, but the actual distance is 250 miles. Calculate John's percentage error.
If a quantity increases by 50% and then decreases by 50%, what is the net percentage change?
If a quantity increases by 50% and then decreases by 50%, what is the net percentage change?
A population increases by 5% each year. What is the approximate population increase over 3 years?
A population increases by 5% each year. What is the approximate population increase over 3 years?
A retailer buys a product for $50 and wants to make a 30% profit. At what price should they sell the product?
A retailer buys a product for $50 and wants to make a 30% profit. At what price should they sell the product?
If you score 75 out of 90 on a test, what percentage did you score?
If you score 75 out of 90 on a test, what percentage did you score?
What is the percentage increase if a price changes from $40 to $46?
What is the percentage increase if a price changes from $40 to $46?
After a 25% discount, a product sells for $75. What was the original price?
After a 25% discount, a product sells for $75. What was the original price?
An item's price is reduced by 15%, and then again by 10%. What is the total percentage reduction?
An item's price is reduced by 15%, and then again by 10%. What is the total percentage reduction?
What is 60% of 120?
What is 60% of 120?
A salesperson earns 8% commission on their sales. If they sell $5000 worth of goods, what is their commission?
A salesperson earns 8% commission on their sales. If they sell $5000 worth of goods, what is their commission?
If 40% of a number is 80, what is the number?
If 40% of a number is 80, what is the number?
The estimated value of a house is $250,000, but it sells for $240,000. What is the percentage error in the estimation?
The estimated value of a house is $250,000, but it sells for $240,000. What is the percentage error in the estimation?
Flashcards
What are percentages?
What are percentages?
A way of expressing a number as a fraction of 100.
How to express a fraction as a percentage?
How to express a fraction as a percentage?
Multiply the fraction or ratio by 100.
How to convert a percentage to a fraction/decimal?
How to convert a percentage to a fraction/decimal?
Divide the percentage by 100.
Percentage Increase Formula
Percentage Increase Formula
Signup and view all the flashcards
Percentage Decrease Formula
Percentage Decrease Formula
Signup and view all the flashcards
Finding x% of a quantity
Finding x% of a quantity
Signup and view all the flashcards
Percentage Change Formula
Percentage Change Formula
Signup and view all the flashcards
Overall Percentage Change Formula (Successive)
Overall Percentage Change Formula (Successive)
Signup and view all the flashcards
Percentage Error Formula
Percentage Error Formula
Signup and view all the flashcards
Common Applications of Percentages
Common Applications of Percentages
Signup and view all the flashcards
Calculate a 20% discount on a $50 item
Calculate a 20% discount on a $50 item
Signup and view all the flashcards
If a student scored 80/100, what's the percentage?
If a student scored 80/100, what's the percentage?
Signup and view all the flashcards
Study Notes
- Percentages represent numbers as fractions of 100.
- "Percent" means "per hundred" and is symbolized by "%".
Core concepts
- Fractions or ratios can be expressed as percentages by multiplying by 100.
- Percentage = (Value / Total Value) * 100.
- Percentages are converted to fractions or decimals by dividing by 100.
- x% = x/100.
Calculating percentage increase
- Percentage Increase = [(New Value - Original Value) / Original Value] * 100.
- It measures the relative increase of a quantity from its initial value.
Calculating percentage decrease
- Percentage Decrease = [(Original Value - New Value) / Original Value] * 100.
- It measures the relative decrease of a quantity from its initial value.
Finding a percentage of a quantity
- To find x% of a quantity, multiply it by x/100.
- x% of Quantity = (x/100) * Quantity.
Percentage change
- Percentage Change = [(New Value - Old Value) / Old Value] * 100
- A positive result indicates a percentage increase; a negative result indicates a percentage decrease.
Successive percentage change
- The overall percentage change when a value is changed by x% and then by y% is calculated by:
- Overall Percentage Change = x + y + (xy/100)
- This accounts for the cumulative impact of consecutive percentage changes.
Percentage error
- Percentage Error = [(Approximate Value - Exact Value) / Exact Value] * 100
- It quantifies the difference between an estimated and true value.
Applications of percentages
- Percentages have uses across finance, statistics, and everyday calculations.
- Common applications include calculating discounts, taxes, interest rates, and statistical data analysis.
Tips and tricks
- Converting percentages to fractions or decimals simplifies calculations.
- Understanding the base value is crucial in solving percentage problems.
- Practice is essential for mastering percentage calculations and problem-solving.
Example problems
- Problem: A shop offers a 20% discount on an item priced at $50. What is the sale price?
- Solution: Discount amount = (20/100) * $50 = $10; Sale price = $50 - $10 = $40
- Problem: If a student scored 80 out of 100 on a test, what is the percentage score?
- Solution: Percentage score = (80/100) * 100 = 80%
Key formulas and concepts
- Percentage calculation formula.
- Percentage increase and decrease formulas.
- Successive percentage change formula.
- Percentage error formula.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
