Question

The price of a swimming pool

Answer 1

• 
  `Sales\:\:Price=List\:\:Price-Discount`
• Sales price= $
  `1167.25` List price=L Discount
  `=19.5\%\:of\:L=0.195L`
• 
  `1167.25=L-0.195L`

Explanation:

The percentage discount is
`19.5\%`

The discount is always given on the list price.

`Sales\:\:Price=List\:\:Price-Discount`

Let the list price be L, then

List price=L

Sales price= $
`1167.25`

Discount
`=19.5\%\:of\:L=0.195L`

We substitute into the equation to get:

`1167.25=L-0.195L`

`1167.25=0.805L`

Divide both sides by 0.805

`(1167.25)/(0.805)=L`

`1450=L`

The list price of the swimming pool is $1450