Is it permissible to claim monetary compensation for a damaged bag that exceeds its original price, and what should one do if the excess compensation is disbursed? Should the bag be valued at its price on the day of purchase or its price today, and is it permissible to benefit from the bag after it has been repaired?

If the damage to the luggage is due to the negligence of the responsible party, it is permissible to demand compensation equal to the value of the damage or the suitcase, and there is no need to mention the discounted purchase price. As long as the company has agreed to compensate you, there is no harm in benefiting from the compensation, even if the concerned party repairs the suitcase and pays its value; you are permitted to benefit from it after or before its repair.