X and Y enter into a partnership by investing certain capital in the ratio of 1 : 3. However, after 4 months, X alone starts managing the business and Y pays him Rs. 10,000 per month. How much profit should they make so that at the end of the year, when the profit is divided, the net incomes of both are the same for the year

P & Q enter into a partnership P invests Rs 8000 for 6 months and Q remains in the  Business for 3 months. Out of the total profit Q claims ½ of the profit. What was Q’s contribution

Rs. 11250 are divided among Jay , Ajay & Vijay so that Jay may receive one fourth as much as Ajay and Vijay together receive and Ajay one half of what Jay & Vijay together receive . What is Jay’s share