ACT Math · Ratios, rates, and percents

An item originally priced at $50 is discounted 20%, and then 8% sales tax is applied to the discounted price. What is the final price?

An item originally priced at $50 is discounted 20%, and then 8% sales tax is applied to the discounted price. What is the final price?

Answer and explanation

Answer: C: $43.20

Apply the discount first: 50(0.80)=4050(0.80)=40 dollars. Then the sales tax applies to the discounted price: 40(1.08)=43.2040(1.08)=43.20 dollars, choice C. Choice B ($40) forgets the tax. Choice D ($54) is 50(1.08)50(1.08), charging tax on the original price and never applying the discount. Choice A ($36.80) subtracts 8%8\% from the discounted price, 40(0.92)40(0.92), when tax should increase the price. Percent increases and decreases applied in sequence are multiplied, not added, so 0.80⋅1.08=0.8640.80\cdot1.08=0.864, giving 50(0.864)=43.2050(0.864)=43.20.

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