If your Landlord has gone Bankrupt then its not His problem any more whether He would like it to be or not.
The Official Receiver would have taken a snapshot financial statement at the time of Bankruptcy and frozen His Bank Accounts, Credit and cashflow, made a decision upon those facts, then given guidelines to Independent Accountants (Trustee in Bankruptcy) to deal with ongoing financials.
Really not a straight forward situation, depends on why He went Bankrupt, what monies he owes, how much, what for and to Whom He owes it to, together with any Tangible or potential Assets He has. With regard to His own Property, ie where He lives and subject to other Family members living there, He would normally be given the opportunity to remain there and continue to fund the property untill a decision is made by the Trustee to release and claim any of His equity in the property to repay some or all of the Bankruptcy and Costs.
If the rented property your in is additional property owned by the Landlord (and probably the Bank), then this would be classed as part of the Landlords business and therefore dealt with by the Trustee and any assets of that property to be recovered by the Trustee (and or Bank) at some point. Also depends what monies are owed on the Rented Property, ie, was the Landland seriously behind on Loan or Mortgage payments, if so, then the Bank via the Trustee would seek for eviction of the property in order to sell it. If payments where up to date, then the Trustee with the Banks agreement may continue to receive Rent Payments untill such time that the Trustee take Ownership of the Property with the view to eviction and then sell it. The timescales for the second part can take months sometimes years to complete.
Having said all that, they cant just turf you out on the Street without going through the Legal process, if you stop paying rent now, then you are in breach of your Tenancy Agreement, making it easier for the Trustee or Bank to evict you, your probably find the Trustee are willing to offer you a new Short Term Tenancy Agreement (guessing in their Favour) depending what funds are in the pot. Absolute worst case you will be given something like this, Notice to Quit (28 Days), Notice for Eviction Order (another 28 Days), Court Eviction Notice, if not Appealed against (Normally up to 28 Days before Bailiff Eviction). Any Dependants or Children living in the Rented Property?.
If your serious about buying the Property, then get in touch with the Trustee in Bankruptcy and if possible the Property Lender, find out what there Book Value is (They probably wont know that, untill the House has been Surveyed) and make them an offer, you may find them wanting to take it to Auction at some point, but any serious offer they should take on board especially as you have an invested interest by living there and could potentially save them the hag and cost of evicting you. Worst case it may buy you some more time meanwhile.
Also bear in mind that people (especially with Property) dont go Bankrupt for the fun of it, your Landlord, unless very clever, would have been facing some difficult times and decisions. Its the responsibility of the Trustee to work in the interest of both the Bankruptcy and the Official Receiver, whist aiming to recover as much funds as possible within a given time scale, so deals and offers should always be considered by them, which could be in your favour.
And off course get legal advice now and before making any offers, good luck with it all.
Chris.