virtuaI
Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

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

Sagot :

CSMedrano

Answer:

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)

[tex]75\cdot x = 100\cdot 40\\\\75x = 4000\\\\x=53.33[/tex]

Answer:  53.33 dollars

===============================================

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.

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.