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 $:9$)

$A$ starts a business with $Rs. 4000$ and $B$ joins him after $3$ months with $Rs. 16000$. Find the ratio of their profits at the end of the year.

Two friends $P$ and $Q$ started a business investing in the ratio of $5:6$. $R$ joined them after six months investing an amount equal to that of $Q$. At the end of the year,$20\%$ profit was earned which was equal to $₹ 98000$. What was the amount invested by $R$?

$A, B, C$ and $D$ enter into a partnership. $A$ contributes $\frac{1}{3}$ of the capital,$B$ contributes $\frac{1}{4}$,$C$ contributes $\frac{1}{5}$,and $D$ contributes the rest. What is the share (in ₹) of $D$ when the total profit is ₹ $6000$?

$A$ 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 $C$?

Ram,Rohan,and Karn invested in a business in the ratio of $3:2:5$ respectively. If Ram earns $100\%$ more profit than Rohan and Karn earns $40\%$ more profit than Rohan,what will be the share of Rohan in the profit?