Karthick and Balaji enter into a partnership with their capitals in the ratio 5:6. At the end of 8 months, Karthick withdraws his capital. If they receive the profits in the ratio of 5:9, then how long was Balaji's capital used?

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?