Rohan and Vikram started a digital agency by investing a total amount of Rs. 12,500. After the first 4 months, Vikram added Rs. 1,000 and Rohan withdrew Rs. 500. At the end of a one-year partnership, the profit earned by Rohan and Vikram is in the ratio 4 : 7 respectively. What is the initial investment of Vikram?

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?