Question

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?

Answer 1

The new prices are 105% of the original prices.

Step-by-step explanation:

To determine what percent of the original prices the new prices are, we need to consider the two steps: the increase of 40% and the discount of 25%. Let's assume the original price of an item is $100.

1. The price is increased by 40%. This means the new price is $100 + ($100 x 0.40) = $140.
2. Next, the store announces a 25% discount. The discount is applied to the new price, so the discounted price is $140 - ($140 x 0.25) = $105.

Therefore, the new price after the increase and discount is $105. To find the percentage of the new price compared to the original price, divide $105 by the original price of $100 and multiply by 100. The calculation is (105/100) x 100 = 105%. So, the new price is 105% of the original price.

Answer 2

the most likely solution is 105%