Sold at a profit; cost price changes by a percent, selling price same: new profit percent

The same question, asked 2 times: CDS 1 2018*, CDS 2 2023. Every wording below, oldest first.

Try each one first, then open its answer.

Question 1
CDS 1 2018
49 $An article is sold at a profit of 32%. If the cost price is increased by 20% and the sale price remains the same, then the profit percentage becomes$
Tap an option to check your answer.
Question 2
CDS 2 2023
79 $A person bought an article and sold it at a profit of 20%. Had he bought it at 20% less, what would have been the profit percentage if the selling price had been the same ?$
Tap an option to check your answer.