An antique store increases all of its prices by $40\%$, and then announces a $25\%$-off-everything sale. What percent of the original prices (before the increase) are the new prices?
Let X be the original price. Do a 40% increase we get the price: X+0.4X=1.4X Doing a 25% off we get the new price: (1.4X)-0.25(1.4X)=1.05X =X+0.05X. The new prices are 5% increase from the original price.