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

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

• Step 1: Determine the original price of the microwave using its discount value.
• Step 2: Compute the price of a product double that original price.
• Step 3: Calculate the discount on this new product price using a 30% rate.

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 $96 \text{ dollars}$.