Question

Who can solve this?

Answer 1

`\$10,000`

Explanation:

We can represent the revenue from a sale of 15% as:

`(100\% - 15\%) \cdot P`

where
`P` is the amount of revenue that would have been made from selling the merchandise at its original price.

To solve for that amount, we can equate the amount of revenue earned during a sale day ($8,500) to the above value and solve for
`P`.

`\$8,500 = (100\% - 15\%) \cdot P`

↓ simplifying the subtraction

`\$8,500 = 85\% \cdot P`

↓ multiplying both sides by 100/85, or 20/17

`\left((100)/(85)\right) \left(\$8,500\right) = (85\% \cdot P) \left((100)/(85)\right)`

`\$10,000 = 100\% \cdot P`

`\boxed{P = \$10,000}`