Question

a store is offering a 25% discount on all items. Also employees get a 10% discount. if you are an employee, which discount would you want to be applied first to save the most money?
10%
25%
it doesnt matter which discount is applied first the result is the same
not enough info is given

Answer 1

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both lead to the same final price

here's why

let x = original price

Lets say you do the 25% discount first then the 10% discount

apply the first discount

x - 0.25x = 0.75x

Then apply the second discount

0.75x - 0.10*0.75x = 0.675*x

So in the end, you're paying 67.5% of the original price and you get an overall discount of 100 - 67.5 = 32.5% off

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Now let's say you do the 10% discount first then the 25% discount

apply the first discount

x - 0.10x = 0.90x

then apply the second discount

0.90x - 0.25*0.90x = 0.675*x

and you get the same final price


So either way, you're getting the same discount (no matter which one you do first)

The two discounts basically combine to 32.5% discount in the end.

- Courtesy of Jim Johnson.

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Answer 2

Thank you that helped alot i understand now!