Fraction of Original Price

Discussion in 'Algebra' started by nycmathguy, Mar 2, 2022.

  1. nycmathguy

    nycmathguy

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    A dress is marked down by 20% and placed on a clearance rack, on which is posted a sign reading, “Take an extra 25% off already reduced merchandise.” What fraction of the original price is the final sales price of the dress?

    A. 9/20

    B. 11/20

    C. 2/5

    D. 3/5


    I think adding is needed here.

    0.20 + 0.25 = 0.45

    9/20 = 0.45

    I say the answer is 9/20.
     
    nycmathguy, Mar 2, 2022
    #1
  2. nycmathguy

    Country Boy

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    "A dress is marked down by 20% and placed on a clearance rack, on which is posted a sign reading, “Take an extra 25% off already reduced merchandise.” What fraction of the original price is the final sales price of the dress?"

    No. The "20%" and "25%" are of different quantities and cannot be added like that.

    Imagine that the original price of the dress was $100. 20% of that is $20 so it is reduced to 100- 20= $80. 25% is 1/4 and 1/4 of 80 is $20 so it is reduced further to 80- 20= $60. That is 60/100= 6/10= 3/5 of the original price.
     
    Country Boy, Mar 3, 2022
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