Rajan and Sajan started a business initially with $Rs. 14200$ and $Rs. 15600$ respectively. If the total profit at the end of the year is $Rs. 74500$,what is Rajan's share in the profit (in $Rs$)?

Aditya and Manish continued in a joint business for $36$ months. Aditya contributed $Rs. 300$ for a certain time and Manish invested $Rs. 500$ for the remaining time. If out of a total profit of $Rs. 1020$,Aditya gets $Rs. 495$,then for how long (in months) did Aditya keep his money?

Anju and Brijesh enter into a partnership with their capitals in the ratio of $5:9$. At the end of $8$ months,Anju withdraws her capital. If they receive their share of profit in the ratio of $4:9$,find out how long Brijesh's capital was invested in the business (in months).

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?

$A$ 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?

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.