Mohan and Vikas started a business by investing Rs. 60,000 and Rs. 50,000 respectively. After 4 months, Mohan invested an additional Rs. 20,000, and at the end of the 10th month, he withdrew Rs. 30,000. Vikas invested an additional Rs. 30,000 after 6 months. What is the ratio in which the profit will be divided between Mohan and Vikas at the end of the year?

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?