Astore buy jeans from the manufacturer for $30 each and sells them at a 50% increase in price. at the end of the season, they put it on sale for 50% off. is the sale price $30? pls explain

First we need to calculate the selling price after 50% increase
selling price = original cost + increase
selling price = 100% original cost + 50% original cost
selling price = 150% original cost
selling price = 1.5 × original cost
selling price = 1.5 × 30
selling price = 45
The selling price after getting a markup is $45

Second, we need to calculate the sale price after markdown 50%
Right now, we use $45 as the original price not $30 to count the sale price
sale price = original price - markdown
sale price = 45 - 50% × 45
sale price = 45 - 0.5 × 45
sale price = 45 - 22.5
sale price = 22.5
The sale price is not $30

Ithink it should be 55.