A woman trader gives a 25% discount on the marked price, resulting in a 13% loss. If she sells with a 10% discount on the marked price, what will be her percentage profit or loss?”

Let the cost price of the article be $C = 100$.
Selling price with 25% discount gives 13% loss:
$S.P_1 = M \times \left(1 - \dfrac{25}{100}\right) = 0.75 M$
$S.P_1 = C \times \left(1 - \dfrac{13}{100}\right) = 100 \times 0.87 = 87$
$0.75 M = 87 \implies M = \dfrac{87}{0.75} = 116$
Selling price with 10% discount:
$S.P_2 = M \times \left(1 - \dfrac{10}{100}\right) = 116 \times 0.9 = 104.4$
Profit:
Profit = $\text S.P_2 - C = 104.4 - 100 = 4.4$
Profit percentage:
Profit %= \( \dfrac{4.4}{100} \times 100\) = 4.4%