Varun, Ragav, and Nagesh enter into a partnership. Varun contributes one-third of the total capital while Ragav contributes as much as Varun and Nagesh together contribute. If the total profit at the end of the year is Rs. 1,02,000, how much profit would Nagesh receive?

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?