Percents and Percent Proportions

Front

What is a percent?

Back

A percent is a ratio expressed as a fraction of 100. It represents a part of a whole.

Front

How do you calculate a percentage of a number?

Back

To calculate a percentage of a number, multiply the number by the percentage (in decimal form). For example, to find 20% of 200, calculate 200 x 0.20 = 40.

Front

What does it mean to increase a price by a percentage?

Back

Increasing a price by a percentage means adding that percentage of the original price to the original price. For example, a 20% increase on $100 means adding $20, resulting in a new price of $120.

Front

What does it mean to decrease a price by a percentage?

Back

Decreasing a price by a percentage means subtracting that percentage of the original price from the original price. For example, a 20% decrease on $100 means subtracting $20, resulting in a new price of $80.

Front

If a product costs $200 and is on sale for 20% off, what is the sale price?

Back

The sale price is $160. (200 - (200 x 0.20) = 200 - 40 = 160)

Front

How do you find the original price if you know the sale price and the discount percentage?

Back

To find the original price, divide the sale price by (1 - discount rate). For example, if the sale price is $160 and the discount is 20%, the original price is 160 / (1 - 0.20) = 200.

Front

What is a markup?

Back

A markup is the amount added to the cost price of goods to cover overhead and profit. It is often expressed as a percentage of the cost price.

Front

If a laptop is sold for $1200 after a 20% markup, what was the original price?

Back

The original price was $1000. (1200 / 1.20 = 1000)

Front

What is the formula to calculate the percent of a number?

Back

The formula is: Percent = (Part / Whole) x 100.

Front

If a student scored 80% on a test with 50 questions, how many questions did they answer correctly?

Back

The student answered 40 questions correctly. (0.80 x 50 = 40)