Two friends $P$ and $Q$ started a business investing in the ratio of $5:6$. $R$ joined them after six months investing an amount equal to that of $Q$. At the end of the year,$20\%$ profit was earned which was equal to $₹ 98000$. What was the amount invested by $R$?

$A, B, C$ enter into a partnership with shares in the ratio $\frac{7}{2}: \frac{4}{3}: \frac{6}{5}.$ After $4 \text{ months}$,$A$ increases his share by $50\%.$ If the total profit at the end of one year is $₹ 21600,$ then $B$'s share in the profit is (in $₹$):

Anil and Nikhil started a business by investing $Rs. 3300$ and $Rs. 5000$ respectively. If they earned a profit of $Rs. 1660$,what will be Anil's share?

Aman started a business investing ₹ $70,000$. Rakhi joined him after six months with an amount of ₹ $1,05,000$,and Sagar joined them with ₹ $1,40,000$ after another six months. The amount of profit earned should be distributed in what ratio among Aman,Rakhi,and Sagar respectively,$3$ years after Aman started the business?

Ram,Rohan,and Karn invested in a business in the ratio of $3:2:5$ respectively. If Ram earns $100\%$ more profit than Rohan and Karn earns $40\%$ more profit than Rohan,what will be the share of Rohan in the profit?

Two partners invested ₹ $12500$ and ₹ $8500$ in a business. They decided that $60 \%$ of the profit incurred from the business will be equally divided between them,while the remaining profit will be distributed as interest on their capitals. If one of the partners receives ₹ $300$ more profit than the other,what is the total profit (in ₹) in the business?