Arjun and Balu enter into a partnership such that Arjun's investment is 14 times more than Balu's investment. After 8 months, Chitra joins them with an investment 35 times more than Arjun's investment. What is the respective ratio of profit earned by Arjun, Balu, and Chitra after a two-year partnership?

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?