P and Q entered into a startup venture with investment in the ratio 5 : 4 respectively, and their period of investment is in the ratio 2 : 5 respectively. If the total profit received by them was Rs 6,000, find the share of P in the profit.

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?