Three partners, A, B, and C started a firm with investments in the ratio 3:2:4. After 6 months, A doubled his capital, B halved his, and C maintained his investment. If the total profit after one year was Rs. 1,80,000, what was B's share of profit?

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?