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.

$A, B$ and $C$ invest to start a restaurant. The total investment was ₹ $3,00,000$. $B$ invested ₹ $50,000$ more than $A$ and $C$ invested ₹ $25,000$ less than $B$. If the profit at the end of the year was ₹ $14,400$,then what is $C$'s share of the profit (in ₹)?

Rahul started a business by investing $Rs. 45,000$. $6$ months later,Sanjay joined him with $Rs. 30,000$. In what ratio should the earned profit be distributed at the end of the year?

$A$ and $B$ enter into a partnership for a year. $A$ contributes ₹ $1500$ and $B$ contributes ₹ $2000$. After $4$ months,they admit $C$ who contributes ₹ $2250$. If $B$ withdraws his contribution after $9$ months,what is the ratio in which they share the profit at the end of the year?

$A, B$ and $C$ enter into a partnership by investing ₹ $35000$,₹ $45000$ and ₹ $55000$ respectively. What are the respective shares of $A, B$ and $C$ in an annual profit of ₹ $40500$?

Two businessmen $A$ and $B$ invest in a business in the ratio $5:8$. They decided to reinvest $30\%$ of the profit they earned back into the business. The remaining profit they distributed amongst themselves. If $A$'s share of the profit was ₹ $87,500$,then how much total profit (in ₹) did the business make (in $,000$)?