Ram started a business with ₹2,50,000 and after 8 months Rakesh joined him with ₹2,60,000. At the end of the year, out of the total profit, Rakesh received a total of ₹46,075, which included 30% of the total profit as a commission for managing the business. What amount did Ram 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?