Let's say the cost price of the box of noodles is x.
The grocer fixed the selling price at 25% above the cost price, which means he sold it for 1.25x.
But he allowed a 5% discount, so the selling price becomes 0.95(1.25x) = 1.1875x.
Now, the profit is the difference between the selling price and the cost price: 1.1875x - x = 0.1875x.
The profit percent is calculated as (profit/cost price) x 100.
So, the profit percent is (0.1875x/x) x 100 = 18.75%.
Therefore, the grocer's profit percent is 18.75%.