Arvind began a business with ₹ $550$. Later,Brij joined with ₹ $330$. When did Brij join if the profit at the end of the year was divided in the ratio $10:3$?

$A, B$ and $C$ together start a business. Three times the investment of $A$ equals four times the investment of $B$ and the capital of $B$ is twice that of $C$. The ratio of the share of each in the profit is

Aditya,Manish,and Gaurav enter into a partnership with shares in the ratio of $\frac{7}{2} : \frac{4}{3} : \frac{6}{5}$. After $4$ months,Aditya increases his share by $50\%$. If at the end of one year the total profit is $Rs. 43200$,then what will be Manish's share in the profit?

$A$ starts a business with a capital of ₹ $1200$. $B$ and $C$ join with some investments after $3$ and $6$ months,respectively. If,at the end of a year,the profit is divided in the ratio of $2:3:5$,what is $B$'s investment (in ₹) in the business?

$A$ and $B$ started a partnership business by investing in the ratio of $3:8$. $C$ joined them after $4$ months with an amount equal to $\frac{3}{4}$ of $B$'s investment. What was the total profit (in ₹) at the end of the year if $C$ received ₹ $24000$ as his share?

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 ₹)?