What is the original price when the discount is 25% and the sale price is $40

the original price was $53.33

Step-by-step explanation:

$x ---- 100%

$40 ------- 75% (this is because 25% of it's just 75% of the actual price)

Work Shown:

x = original price

25% = 25/100 = 0.25

25% of x = 0.25x = discount, or amount saved

final price = (original price) - (discount)

final price = (x) - (0.25x)

final price = 0.75x

0.75x = 40

x = 40/0.75

x = 53.333333

x = 53.33

The original price is $53.33

The discount, or amount saved, is 0.25*x = 0.25*53.33 = 13.3325 = 13.33 dollars.

This means the sale price is 53.33 - 13.33 = 40

We can also see this through computing 0.75*x = 0.75*53.33 = 39.9975 = 40, which matches with the given sale price.

Note how I'm rounding to the nearest penny when needed.