Is it permissible for a woman who has become pure before the end of forty days of confinement to perform different acts of worship? and is it lawful for her husband to have sex with her?
Once postpartum bleeding ceases and she is certain that it won`t happen again, she becomes pure, and so she should perform Ghusl (ritual bath), pray, and fast. She can also have sex with her husband even before the end of (40) days because the minimum of postpartum bleeding is a moment, and the maximum is (60) days. However, the postpartum bleeding for the majority of women is (40) days, but this does not apply to rest of them.
Is it permissible to divide one mudd of fidyah between two people?
No, it is not permissible to divide one mudd between two people, because it would not count as a full meal for either of them.
What is required of a traveler or a sick person if they broke their fast and then their excuse ceased?
If a traveler settles or a sick person recovers after having broken their fast, it is recommended for them to refrain from eating and drinking for the rest of the day, but it is not obligatory.
What is the ruling of islamic law on statutory (legal) interest awarded by a court?
All praise is due to Allah, and peace and blessings be upon our master, the Messenger of Allah.
It is permissible for a person in whose favor a judge has awarded statutory (legal) interest to deduct the actual litigation costs incurred in filing and prosecuting the lawsuit from these interest funds.
Any remaining balance beyond those actual expenses must be returned to the party upon whom the payment was imposed, provided that party is a specific individual. If, however, the paying party is a public entity or state institution, the remaining amount should be spent on the general public interests of Muslims—such as schools, mosques, roads, and similar public utilities shared by the community—or given in charity (Sadaqah) to the poor and needy. And Allah Almighty knows best.