Question

At a sale this week, a table is being sold for $403. This is a 38% discount from the original price. What is the original price?

Answer 1

Answer:

$650.  This was the original price.

Step-by-step explanation:

Let p represent the original price.

The following expression calculates the value of p:  (1 - 0.38)p = $403.  Note that '1' indicates full price and that '0.38' indicates a 38% discount.

(1 - 0.38)p = $403 simplifies to (0.62)p; = $403.

Dividing both sides by 0.62 yields $650.  This was the original price.

Answer 2

Answer:

$650

Step-by-step explanation:

Line up $ with $ and % with % then cross multiply

$403 represents ........100% full price -38% discounted  = 62%

$ x amount of the original price represents .........................100%

x*62 = 403*100, cross multiply

x = (403*100)/62, divide both sides by 62

x = $650