A man owns a field of area `1,000` sq.m. He wants to plant fruit trees in it. He has a sum of Rs. `1,400` to purchase young trees. He has the choice of two types of the tree. Type `A` requires `10` sq.m of ground per tree and cost. Rs.`20` per tree and type `B` requires `20` sq.m of ground per tree and cost Rs. `25` per tree. When fully grown, type `A` produces an average of `20` kg fruit Which can be sold at a profit of Rs. `2` per kg and type `B` produces. an average of `40` kg of fruit which can be sold at a profit.of Rs. `1.50` per kg. How many of each type should he plant to achieve maximum profit when the trees are fully grown? What is the maximum profit?