Question

A camera is originally $150 The store gives a discount and the camera is now priced at $112.50 Write the percentage discount for the camera

Answer 1

We are asked to determine the percentage of discount if the price for an item goes from $150 to $112.50. To do that we will use the following relationship:

$150-\frac{150x}{100}=112.5$

Where "x" is the percentage of the discount.

Now we solve for "x" first by subtracting 150 from both sides:

$-\frac{150x}{100}=112.5-150$

Solving the operations:

$-\frac{150x}{100}=-37.5$

Now we multiply both sides by 100:

$\begin{gathered} -150x=-37.5\times100 \\ -150x=-3750 \end{gathered}$

Now we divide both sides by -150:

$x=-\frac{3750}{-150}$

Solving the operations:

$x=25$

Therefore, the percentage of the discount is 25%.