Ravi and Kavi start a business by investing $Rs. 8000$ and $Rs. 72000$,respectively. Find the ratio of their profits at the end of the year. (in $:9$)

$A$ 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 $C$?

$P$ and $Q$ enter into a partnership. $P$ invests $Rs. 50$ and $Q$ invests $Rs. 45$. At the end of $4$ months,$P$ withdraws half of his capital,and at the end of the $5^{\text{th}}$ month,$Q$ withdraws half of his capital. $S$ then enters the partnership with a capital of $Rs. 70$. At the end of $12$ months,they earn a total profit of $Rs. 1272.5$. What was $S$'s share in the profit?

Shekhar started a business investing ₹ $25000$ in $1999$. In $2000$,he invested an additional amount of ₹ $10000$ and Rajeev joined him with an amount of ₹ $35000$. In $2001$,Shekhar invested another additional amount of ₹ $10000$ and Jatin joined them with an amount of ₹ $35000$. What will be Rajeev's share in the profit (in ₹) of ₹ $150000$ earned at the end of $3$ years from the start of the business in $1999$?

$A$,$B$,and $C$ rented a pasture. $A$ puts in $12$ oxen for $6 \text{ months}$,$B$ puts in $8$ oxen for $7 \text{ months}$,and $C$ puts in $6$ oxen for $8 \text{ months}$. If the total rent of the field is ₹ $396$,what amount (in ₹) of rent was paid by $A$?

Satheesh started a business investing ₹ $60000$. After $3$ months,Sunil joined him with a capital of ₹ $75000$. After another $6$ months,Subhash joined them with a capital of ₹ $105000$. At the end of the year,they made a profit of ₹ $19000$. Find the share of each.