Who can solve this?

Question

asked Apr 19, 2024 232k views

1 Answer

Mike Ma · Answer 1 · 2024-04-23T16:38:45+0000

Answer:

$\$10,000$

Explanation:

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

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

where
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
.

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

↓ simplifying the subtraction

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

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

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

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

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