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Carson has a loyalty card good for a discount at his local pharmacy. The item he wants to buy is priced at $13, before discount and tax. After the discount, and before tax, the price is $12. 48. Find the percent discount.

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nfeinglass910

Answer:

4% discount

Step-by-step explanation:

[tex]P_o=[/tex] original price

[tex]P_d=[/tex] discounted price

[tex]P_d=(P_o)*(1-\frac{P_o-P_d}{P_o})[/tex]

We are given

[tex]P_o=13.00[/tex]

[tex]P_d=12.48[/tex]

We can use the equation below to find the percent discount

[tex]D_p=\frac{P_o-P_d}{P_o}*100[/tex]

Substituting our numbers gives us

Let [tex]D_p[/tex] = percent discount

[tex]D_p=\frac{13-12.48}{13}*100[/tex]

[tex]D_p\frac{0.52}{13}*100[/tex]

[tex]D_p=0.04*100[/tex]

[tex]D_p=4[/tex]

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