ACT Math · Ratios, rates, and percents

A store buys an item for $40 and sells it at a 60% markup. Later, the item is put on sale for 25% off the selling price. What is the sale…

A store buys an item for $40 and sells it at a 60% markup. Later, the item is put on sale for 25% off the selling price. What is the sale price?

Answer and explanation

Answer: B: $48.00

A 60%60\% markup on a $40 cost gives a selling price of 40(1.60)=6440(1.60)=64 dollars. A 25%25\% discount leaves 75%75\% of that price: 64(0.75)=4864(0.75)=48 dollars, choice B. Choice D ($64) is the price before the sale. Choice A ($32) is 80%80\% of the cost, which discounts the cost rather than the selling price. Choice C ($52) does not follow from either percent change. The discount is taken from the selling price, not the original cost, and successive percent changes are multiplied rather than added or subtracted.

More Ratios, rates, and percents questions

All Ratios, rates, and percents questions

Learn the method behind questions like this one

The ACT Math course teaches each tested skill through lessons, step-by-step solutions to sample problems, the complete study guide and full-length practice tests.