law case ..plzz solve

Ajoy transfers his house under a written contract of sale to Bijoy for Rs.10,00,000. Bijoy pays Rs.3,00,000 to Ajoy and takes possession of one of the four rooms of the house. No registration of documents of the contract of sale is made. After six months of the said contract, Ajoy sells the same house to Chander for Rs.20,00,000. Chander has no knowledge of the previous transaction between Ajoy and Bijoy. When Chander claims the house, Bijoy takes protection of part-performance of the contract. Will Bijoy succeed ?