Arun,Kamal,and Vinay invested ₹ $8000$,₹ $4000$,and ₹ $8000$ respectively in a business. Arun left after six months. If after eight months,there was a gain of ₹ $4005$,then what will be the share of Kamal (in ₹)?

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?

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 $B$ jointly invest ₹ $2100$ and ₹ $3100$ in a firm. $A$ is an active partner,hence he receives $25 \%$ of the profit separately. If their business yields ₹ $1040$ as profit,what will be the profit share for each of them?

Sita and Gita enter into a partnership. Sita contributes ₹ $5,000$ while Gita contributes ₹ $4,000$. After $1$ month,Gita withdraws $\frac{1}{4}$ part of her contribution and after $3$ months,Sita invests ₹ $2,000$ more. When Gita withdraws her investment,at the same time,Rita joins them by investing ₹ $7,000$. If at the end of $1$ year there is a profit of ₹ $1,218$,what will be the share of Rita in the profit (in ₹)?

$A, B$ and $C$ entered into a partnership by investing ₹ $12000$, ₹ $15000$ and ₹ $18000$ respectively. $A$ is also a working partner and receives $15 \%$ of the annual profit for his work. If $B$ and $C$ received ₹ $8500$ and ₹ $10200$ from the annual profit as their shares, what amount did $A$ receive from the annual profit?