Question

A used vaccum cleaner sells for $130, which is a 75% reduction from the original price. What was the original price of the vaccum cleaner?
(PLEASE show how you got the original price, I was absent the day they taught this and don't know what to do)

Answer 1

We are going back to get its original price. We add something an additional price with the discounted price based on the price rate. We multiply $138 by 75% that is ($130)(0.75) = $97.50. So $97.50 is the additional price. So we add $97.50 + $130 = $227.50

We also express this using an algebra as we shorten our solution above. We equate into
D + Dx = P
D(1 + x) = P
where
P = original price
x = price rate
D = discounted
The factor (1 + x) makes the discounted price to be an original price.
So we plug in
$130(1 + 0.75) = $227.50