ACT Math · Ratios, rates, and percents
An item originally priced at $200 is discounted three separate times, each time by 10% off the current price. What is the final price?
An item originally priced at $200 is discounted three separate times, each time by 10% off the current price. What is the final price?
Answer and explanation
Answer: B: $145.80
Each discount takes off the current price, so multiply by three times: , then , then . The final price is $145.80, choice B. Equivalently, . Choice A ($140) treats the three discounts as a single discount, which ignores that each discount is on a smaller amount. Choice D ($162) applies only two discounts. Choice C ($150) is a rough guess. Successive percent discounts are multiplied, not added.
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