Percentage Increase and Decrease

Front

What is a percentage increase?

Back

A percentage increase is a way to express how much a quantity has grown in relation to its original amount, calculated as (new value - original value) / original value x 100%.

Front

What is a percentage decrease?

Back

A percentage decrease is a way to express how much a quantity has shrunk in relation to its original amount, calculated as (original value - new value) / original value x 100%.

Front

How do you calculate the selling price after a markup?

Back

Selling Price = Cost Price + (Markup Percentage x Cost Price). For example, if a soda costs $1.25 with a 20% markup, Selling Price = $1.25 + (0.20 x $1.25) = $1.50.

Front

How do you calculate the price after a discount?

Back

Price after Discount = Original Price - (Discount Percentage x Original Price). For example, if a chair costs $19.99 with a 15% discount, Price = $19.99 - (0.15 x $19.99) = $16.99.

Front

What is the formula to find the new weight after a percentage increase?

Back

New Weight = Original Weight x (1 + Percentage Increase). For example, if a dog weighs 30kg and increases by 25%, New Weight = 30kg x (1 + 0.25) = 37.5kg.

Front

What is the formula to find the new weight after a percentage decrease?

Back

New Weight = Original Weight x (1 - Percentage Decrease). For example, if a dog weighs 30kg and decreases by 30%, New Weight = 30kg x (1 - 0.30) = 21kg.

Front

How do you find the percent decrease between two prices?

Back

Percent Decrease = (Original Price - Sale Price) / Original Price x 100%. For example, if a scooter's original price is $65.50 and sale price is $52.40, Percent Decrease = ($65.50 - $52.40) / $65.50 x 100% = 20%.

Front

What is a markup?

Back

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

Front

What is a discount?

Back

A discount is a reduction in the price of a product or service, usually expressed as a percentage of the original price.

Front

If an item costs $100 and is marked up by 25%, what is the new price?

Back

New Price = $100 + (0.25 x $100) = $125.