Question

In a store offering a sale for 25% off everything and an additional advertised discount of 15% for a limited time, an item originally priced at $100 is considered. Determine the total discount applied and the final amount paid for the item. Explain your reasoning.

Answer 1

The total discount applied to the $100 item with both a 25% sale and an additional 15% discount is $36.25, resulting in a final amount paid of $63.75.

Step-by-step explanation:

To determine the total discount applied and the final amount paid for an item originally priced at $100 with a 25% off sale plus an additional 15% limited-time discount, we need to calculate each discount sequentially.

First, we calculate the 25% sale discount:

$100.00 × 0.25 = $25.00

This reduces the item's price to:

$100.00 - $25.00 = $75.00

Next, we apply the additional 15% discount on the reduced price:

$75.00 × 0.15 = $11.25

Subtracting this from $75.00 gives us the final price:

$75.00 - $11.25 = $63.75

The total discount is the sum of both discounts: $25.00 + $11.25 = $36.25

The final amount paid for the item is therefore $63.75.