A, B, and C invest in a business with capitals in the ratio 2 : 3 : 4. After 6 months, A increases his capital by 50%. At the end of 2 years, the total profit earned is ₹90,000. How much profit does A 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?