Two friends P and Q enter into a partnership by investing Rs. 3000 and Rs. 4500. If Q invested for X month from the starting of the business and the annual profit share of P to Q ratio is 4: 3, then find the value of X.

A started a business with ₹63,000 and is joined afterwards by B with ₹1,08,000. After how many months did B join if the profits at the end of the year are divided equally ?

Pushparaj and Himani together invested ₹48,600 in a business. At the end of the year, out of a total profit of ₹6,600, Pushaparaj's share was ₹2,200. What was the investment of Pushparaj?

Prakhar and Riya together invested ₹35,600 in a business. At the end of the year, out of a total profit of ₹5,000, Prakhar's share was ₹2,300. What was Prakhar's investment?

Aarti, Anil and Naveen started a business in partnership, investing in the ratio of 17:6:17, respectively. At the end of the year, they earned a profit of ₹78,600, which is 20% of their total investment. How much did Anil invest (in ₹)?

In a business, Ankit invests 3/5 of the total capital for 4 months, while Chintu invests 11/40 of the total capital for 1 year. If Ankit's share of the profit is ₹40,000, what is the total profit earned by the business?

Kavita, Rakesh, and Shalini invested in a business in the ratio 5:8:15. They invested their capitals for 8 months, 7 months and 4 months, respectively. What was the ratio of their profits?

A and B start a business with capital of Rs. 25,000 and Rs. 35,000. After 5 months, C joins with Rs. 40,000. After another 3 months, A withdraws Rs. 5,000, and B adds Rs. 10,000, while C continues with the same. At the end of a year, the profit is Rs. 60,000. Find the exact share of profit of C. (within 2 decimal)

'P' and 'Q' started a business by investing Rs. 20,800 and Rs. 16,000, respectively. After 'T' months later, 'R' joined them by investing 25% more than 'P'. If at the end of 1.5 years, the ratio of profit shares of 'Q', and 'R' is 12:13, respectively, then find the value of 'T'.

A and B start a business with capitals of Rs. 20,000 and Rs. 45,000. If the profit is divided in the ratio 2: 3, determine the ratio of the time periods of investment for A and B.