P, Q and R started a business, each investing Rs. 20,000. After 5 months, P withdrew Rs. 5,000, Q withdrew Rs. 4,000 and R invested Rs. 6,000 more. At the end of the year, a total profit of Rs. 34,950 was recorded. Find the share of P.

Three partners invested in a business in the ratio 8:5:4. They invested their capital for 3 months, 10 months, and 9 months respectively. What was the ratio of their profits?

A started a business with an investment of ₹21,000 and after a few months, B joined him with an investment of ₹15,000. At the end of the year, the total profit was divided between them in the ratio 12 : 5. After how many months did B join the business?