Last verse to be revealed

Q: Which verse in the Qur'an was revealed last?

Narrated Ibn Abbas: The last Verse (in the Quran) revealed to the Prophet was the Verse dealing with usury (i.e. Riba). [Sahih al-Bukhari, Volume 6, Book 60, #67]

Narrated Al-Bara: The last Sura that was revealed was Bara'a, and the last Verse that was revealed was: "They ask you for a legal verdict, Say: Allah's directs (thus) about those who leave no descendants or ascendants as heirs." (4.176) [Sahih al-Bukhari, Volume 6, Book 60, #129]

Both are sahih hadith, but they contradict each other. Can you explain me this?

One partner selling goods to the partnership at a profit

Q: One of my friends wants to open a store with me in a partnership. We will share the profits equally by each of us receiving 50%. However, my main store will supply stock for this store at a small profit to me only (to cover transport costs, wages for my workers who will be loading, offloading, marking, etc.). What is the Shar’ee perspective regarding this arrangement?

Using binaural beats for health issues

Q: My question is, can binaural beats be used by a Muslim if he/she just wants to do self help for getting rid of any kind of disease, skin problems, hair issues, obesity, depression, anxiety etc. Though he/she got exhausted by visiting so many doctors again and again and also used home remedies for getting rid of their health issues but nothing positively happend... If he/she just only considers that all the benefits will come from Almighty Allah if I use binaural beats to make my health and appearance better... Nothing and no one has power to grant the benefits and goodness but only Allah Almighty...

Solipsism

Q: Can you prove solipsism wrong? Solipsism is the view or theory that the self is all that can be known to exist. I mean, you don't know whether others have feelings just like you or not, but you will just see that they are crying but can never be sure of the fact they actually have feelings.

Verification of a Hadith

Q: May I know if the following hadith is authentic?

Salman Al-Farsi quoted the Nabi (sallallahu alaihi wasallam) as saying: “Observe the night prayer; it was the practice of the righteous before you and it brings you closer to your Rabb and it is penance for evil deeds and erases the sins and repels disease from the body.” [At-Tabarani]