For a business, A invests Rs. 36,000. After nine months, B joins and invests Rs. 54,000 and A withdraws Rs. 2,000. After another six months, C joins and invests Rs. 88,000 while A withdraws Rs. 2,000 and B withdraws Rs. 2,000. After twenty months from the start, they earn a profit. What is the ratio of their profit shares?

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?