In Saroja's sari shop, the marked price of each sari is x% above the cost of its procurement. She sells each sari after a discount of 25%. In addition, if someone buys a dozen saris, she offers an extra sari for free, and still makes a profit of 8% over their cost of procurement. If Saroja had sold the saris without discounting, but with the offer of an extra saree for every dozen sold, then her profit percentage would have been:

Let the cost of procurement of one sari be $C$.

The marked price is $x$% above the cost, so:

Marked Price = $C(1 + \frac{x}{100})$

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Finding the value of x:

With a 25% discount, the selling price per sari becomes:

Selling Price = Marked Price × 0.75 = $C(1 + \frac{x}{100}) \times 0.75$

When someone buys a dozen (12 saris), they get 1 extra sari free, so they get 13 saris total.

Customer pays for 12 saris = $12 \times C(1 + \frac{x}{100}) \times 0.75$

Cost of 13 saris to Saroja = $13C$

Given that Saroja makes 8% profit:

$12 \times C(1 + \frac{x}{100}) \times 0.75 = 13C \times 1.08$

Simplifying:

$9C(1 + \frac{x}{100}) = 14.04C$

$(1 + \frac{x}{100}) = \frac{14.04}{9} = 1.56$

$\frac{x}{100} = 0.56$

$x = 56$

So the marked price is 56% above the cost.

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Finding profit without discount:

Now, if she sells without discount but still offers 1 extra sari per dozen:

Selling price per sari = Marked Price = $1.56C$

Customer pays for 12 saris = $12 \times 1.56C = 18.72C$

Cost of 13 saris = $13C$

Profit = $18.72C - 13C = 5.72C$

Profit percentage = $\frac{5.72C}{13C} \times 100 = \frac{5.72}{13} \times 100 = 44$%

The answer is 44.