Calculate the Discount: If $48 Equals 30%, What's the Discount on Double the Price?

Video Solution

Solution Steps

00:00 Determine the discount on a product whose price is double the micro?

00:08 Establish the price of the micro

00:18 The discount percentage equals 48

00:33 Convert from a percentage to a decimal, and multiply by the micro price

00:54 Isolate the micro price

01:03 Break down into factors and reduce wherever possible

01:12 This is the original price of the micro

01:21 Determine the price of the product that costs double the micro

01:40 This is the product price

01:43 Proceed to calculate a 30% discount

01:52 Convert from a percentage to a decimal, and multiply

01:58 Break down into factors and reduce wherever possible

02:04 This is the solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

Now, let's work through each step:

Step 1: Given that the discount on the microwave is 48 with a 30% reduction:

$\( 48 = \text{{Original Price of Microwave}} \times 0.30$

Solving for the Original Price of Microwave:

$\text{{Original Price of Microwave}} = \frac{48}{0.30} = 160 \text{{ dollars}}$

Step 2: Calculate the price of a product double the original price:

$\text{{Price of New Product}} = 2 \times 160 = 320 \text{{ dollars}}$

Step 3: Calculate the 30% discount on this new product price:

$\text{{Discount on New Product}} = 320 \times 0.30$

$= 96 \text{{ dollars}}$

Therefore, the discount on a product double the price of the microwave under the same conditions is $96 \text{ dollars}$ .