ACT Math · Ratios, rates, and percents
An item originally priced at $120 is discounted 25%, and then an additional 10% is taken off the new price. What is the final price?
An item originally priced at $120 is discounted 25%, and then an additional 10% is taken off the new price. What is the final price?
Answer and explanation
Answer: G: $81.00
Apply the discounts one at a time. A discount leaves of the price: . Then off the new price leaves : dollars, choice G. Choice F ($78) treats the discounts as a single combined off, , but the second discount applies to a smaller amount. Choice J ($102) subtracts only , which is the difference between the two rates rather than a combination of them. Choice H ($90) applies only the first discount. Successive percent changes multiply: .
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