A store offers 20% off all items. If x is the original purchase price, which expression represents the final price with the discount? Select all that apply. A. 1.2x B. 0.8x C. x D. x – 0.2x E. x + 0.2x

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Answer:

B & D

Step-by-step explanation:

We use percents in decimal form to multiply it with the price. We convert percents into decimals by dividing the percent number by 100. For example, 78% divided by 100 becomes 0.78.

There are two ways to look at it:

  • For finding the price we pay during a sale, we focus on the percent we pay. If 22% off is the sale, then we spend 78% or 100-22=78. If 20% off is the sale, then we pay 80% or 0.80. Multiply that by x an unknown price and we have 0.8x.
  • We can find the percent off by multiplying the price by the percent conversion. So 20% is 0.20. Then subtract it from the original price to find the leftover that we pay. This is x-0.2x.


The price with the discount inclusive is given as

D. x – 0.2x

Given data

Cost price = $x

Discount = 20% = 20/100 = 0.2

Hence 20% off x

=  20/100 *x

=0.2x

Now the final price with the discount will be

=x-0.2x

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