$A$ began a business with ₹ $3750$. $B$ joined later with ₹ $5000$. When did $B$ join if the profits at the end of the year were divided equally?

Arvind began a business with ₹ $550$. Later,Brij joined with ₹ $330$. When did Brij join if the profit at the end of the year was divided in the ratio $10:3$?

$A$ and $B$ started a partnership business investing some amount in the ratio of $3: 5$. $C$ joined them after six months with an amount equal to that of $B$. In what proportion should the profit at the end of one year be distributed among $A, B$ and $C$?

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?

Ram,Karan,and Rohan invested capital in the ratio of $2:3:4$ for time periods of $6:4:3$. Find the ratio of profit distributed.

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?