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-(150x)/(100)=112.5`

Where "x" is the percentage of the discount.

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

`-(150x)/(100)=112.5-150`

Solving the operations:

`-(150x)/(100)=-37.5`

Now we multiply both sides by 100:

`\begin{gathered} -150x=-37.5*100 \\ -150x=-3750 \end{gathered}`

Now we divide both sides by -150:

`x=-(3750)/(-150)`

Solving the operations:

`x=25`

Therefore, the percentage of the discount is 25%.