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 ₹)?

$A$ and $B$ enter into a partnership with capitals in the ratio $5: 6$. At the end of $8$ months,$A$ withdraws. If they receive profits in the ratio $5: 9$,find how long $B$'s capital was used (in months)?

$A$ 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 $C$ entered into a partnership with ₹ $35,12,420$,₹ $42,22,180$,and ₹ $40,65,400$ respectively. After $2$ years,$A$ withdrew ₹ $11$ Lakhs. At the same time,$C$ invested ₹ $8$ Lakhs more. If at the end of $3$ years,the total profit is ₹ $10,53,000$,what is the share (in ₹) of $C$ in the profit?

Anil,Nikhil,and Saurabh started a business in partnership by investing in the ratio of $6:5:8$ respectively. At the end of the year,they earned a profit of $Rs. 83,600$. What will be Saurabh's share (in $Rs.$)?

$A$ and $B$ enter into a partnership. $A$ supplies the whole capital of ₹ $45000$ with the condition that the profits are to be equally distributed,$B$ pays $A$ interest on half of the capital at $10 \%$ per annum,and $B$ receives ₹ $120$ per month for managing the business. If $B$'s total income is $\frac{1}{2}$ of $A$'s total income,what is their total yearly profit (in ₹)?