If the original price of an item was $30.00 and Luis only paid $24.00 for it, what percentage discount did Luis receive on his purchase?
Answer (1)
Calculate the discount amount by subtracting the price paid from the original price: D i sco u n t = $30.00 − $24.00 = $6.00 .
Calculate the percentage discount by dividing the discount amount by the original price and multiplying by 100: P erce n t a g e D i sco u n t = ( $30.00 $6.00 ) × 100 .
Simplify the fraction: $30.00 $6.00 = 0.2 .
Calculate the percentage: 0.2 × 100 = 20% . The percentage discount is 20% .
Explanation
Calculate the Discount Amount First, we need to determine the amount of the discount Luis received. This is found by subtracting the price Luis paid from the original price of the item.
Calculating the Discount The original price was $30.00, and Luis paid $24.00. So the discount amount is: D i sco u n t = O r i g ina l P r i ce − P r i ce P ai d = $30.00 − $24.00 = $6.00
Calculate the Percentage Discount Next, we calculate the percentage discount. This is found by dividing the discount amount by the original price and then multiplying by 100 to express the result as a percentage.
Calculating the Percentage The discount amount is $6.00, and the original price is $30.00. So the percentage discount is: P erce n t a g e D i sco u n t = O r i g ina l P r i ce D i sco u n t × 100 = $30.00 $6.00 × 100 = 0.2 × 100 = 20% Therefore, Luis received a 20% discount on his purchase.
Examples
Understanding percentage discounts is very useful in everyday life. For example, when shopping, knowing how to calculate the percentage discount helps you determine the actual savings and compare deals. Imagine you want to buy a jacket that originally costs $80, but it's on sale for $60. Calculating the percentage discount allows you to quickly assess the value of the deal. In this case, the discount is $20, and the percentage discount is ($20 / $80) * 100 = 25%. This helps you make informed purchasing decisions.
