A started a business with a capital of ₹1,53,000. After 6 months, B joined him with a certain amount of capital. At the end of a year from A's starting the business, the profit was shared in the ratio 6 : 2. How much (in ₹) did B invest?

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?