Sagar started a business by investing Rs. 48,000. After 4 months, Saurabh joined him with Rs. 72,000. After 8 months from the start, Shankar joined with Rs. 96,000. If the total profit at the end of the year is Rs. 2,08,000, find the share of Sagar.

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?