# Fraction of Original Price

Discussion in 'Algebra' started by nycmathguy, May 18, 2022.

1. ### nycmathguy

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Math 004 sample test questions for anyone seeking NYS certification as a high school math teacher. This is just one of several exams required for NYS high school teacher certification.

I should be able to fly through this type of problem. The fact of the matter is NO!

Let f = fraction of the original price.

f - 0.20f = 0.25f

Yes?

nycmathguy, May 18, 2022
2. ### MathLover1

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let original price be x:

When the dress is marked down by 20%, the cost of the dress is 80% of its original price; thus, the reduced price of the dress can be written as (80/100) x,or (4/5) x, where x is the original price.

so, (4/5) x is the reduced price

When discounted an extra 25%, the dress costs 75% of the reduced price, or

(75/100) (4/5) x, or (3/4) (4/5 )x, which simplifies to (3/5) x.

So the final price of the dress is (3/5) of the original price.

MathLover1, May 18, 2022
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