Nikita and Nishita enter into a partnership by investing ₹ $50,000$ and ₹ $40,000$ respectively. They agreed to share profits in the ratio of their capitals. Find out the share of Nikita when the total profit of the business is ₹ $22,500$ after a year.

$A$ and $B$ enter into a partnership; $A$ invests ₹ $50$ and $B$ invests ₹ $45$. At the end of $4$ months,$A$ withdraws half his capital and at the end of $5$ months,$B$ withdraws $\frac{1}{2}$ of his capital. $C$ then enters with a capital of ₹ $70$. At the end of $12$ months,the total profit is ₹ $254$. How should the profit be divided among $A$,$B$,and $C$?

$A$ and $B$ enter into a partnership by investing $Rs. 12,000$ and $Rs. 16,000$ respectively. After $4$ months,$B$ withdraws $Rs. 6,000$ and $A$ invests $Rs. 5,000$ more. After $2$ more months,$C$ joins with $Rs. 20,000$ capital. What will be $A$'s share in the profit if a total profit of $Rs. 30,100$ is earned at the end of one year?

Kamal started a business investing ₹ $9000$. After five months,Sameer joined with a capital of ₹ $8000$. If at the end of the year,they earn a profit of ₹ $6970$,then what will be the share of Sameer (in ₹) in the profit?

$A$ and $B$ start a business with investments of ₹ $5000$ and ₹ $4500$ respectively. After $4$ months,$A$ takes out half of his capital. After two more months,$B$ takes out one-third of his capital while $C$ joins them with a capital of ₹ $7000$. At the end of a year,they earn a profit of ₹ $5080$. Find the share of each member in the profit.

Rohit started a business with $75000$ and after some months,Simran joined him with $60000$. If the profit at the end of the year is divided in the ratio $3:1$,then after how many months did Simran join Rohit?