The sales price of a car is $12,590, which is 20% off the original price. What is the original price? please explain it to me

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The sales price of a car is $12,590, which is 20% off the original price. What is the original price? please explain it to me

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Let the original price be denoted by x, then write down the function x ↦ $12590, that takes original prices and returns the sales price. Then you only need to invert it.
ok and how would i do that math is my weakest subject its like disease that i cnt fight
i didn't quite get the q so taking ur q as 12590 being the sale price with a 20% discount, x-0.2x=0.8x=12590 x=12590/0.8=15737.5

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ok, let me start from the beginning
sales price (100% minus the 20% sales = 80% of the original)= $12590 original price (100%) = \[sales price \div 80 * 100\] = 12590/80*100 = 15737.50$
this works like this: you know the price after a 20% off, which means the sales price you know is 80% of the original price. So to find the original price, you have to divide the sales price by 80 (to find how much $ is for each %), and then multiply by 100 so you get the total 100% price
got it?
yea but quick question
12590 = original price - original price(%) 12590 = P - P(20%) change 20% to its decimal form (.20) 12590 = P(1 - .20) P = 12590/(1-.20)
amistres64 how did you get one for this problem when you said (1-.20)
It is a technique used to "factor out" a variable. Lets use P =10 and the % =3 as an easy example: just replace them with numbers: 10(1) - 10(3) we can easily find the value of this; 10 - 30 = -20 right? We can also solve this by "factoring out" the thing they have in common and turning it into a multiplication problem like this: 10 (1-3) which is 10(-2) = -20, same answer. Just remember that there is an "invisible" or "implied" (1) next to all variables and numbers; why? because anything times (1) equals itself. Does this make sense?
In other words: P(1) - P(.20) factors out to be: P(1-.20)
yes thank you ... you helped a lot
so when you say 12590/(1-.20) are you telling me to divide or multiply before i subtract
12590 divided by (1-.20)
ok thank you so so so so much your a lifesaver

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