Question

A pair of shoes was put on safe for 10% off. Then the pair was put on clearance for an additional 75% off the sale price. If the final price was 20.25$, what was the over-all percentage off? (hint: it's not 85%)

Answer 1

P = original price
(P*.9)*.25 = 20.25

Answer 2

How did you get to this answer?

Answer 3

We know that the original price was discounted by 10 percent. That part gives me P*.9
Then that is discounted by 75 percent. That part gives me *.25.

Answer 4

Let P = original price of shoes
A pair of shoes was put on sale for 10% off.
10% off is 90% on so the cost is .9P
Then the pair was put on clearance for an additional 75% off the sale price.
75% off sale price is 25% on the sale price which is .25 * .9P
If the final price was 20.25$
.25 * .9P = 20.25
.225P = 20.25
P = 90
20.25 / 90 = .225 = 22.5 % of the original cost of P was paid.
The percentage off was 100% - 22.5% = 77.5% 0ff
what was the over-all percentage off? --> 77.5% Off