Ram started a business by investing $Rs. 45000$. After $3$ months,Sanjay joined him with a capital of $Rs. 60000$. After $6$ months,Aditya joined them with a capital of $Rs. 90000$. At the end of the year,they earned a profit of $Rs. 16500$. What is Ram's share in the business (in $Rs.$)?

$A$ and $B$ started a partnership business investing some amount in the ratio of $3: 5$. $C$ joined them after six months with an amount equal to that of $B$. In what proportion should the profit at the end of one year be distributed among $A, B$ and $C$?

$A$ and $B$ entered into a partnership investing ₹ $16000$ and ₹ $12000$ respectively. After $3$ months,$A$ withdrew ₹ $5000$ while $B$ invested ₹ $5000$ more. After another $3$ months,$C$ joined the business with a capital of ₹ $21000$. If the total profit after $1$ year is ₹ $26400$,by how much does the share of $B$ exceed that of $C$?

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?

$A$ 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?

$A, B$ and $C$ invest to start a restaurant. The total investment was ₹ $3,00,000$. $B$ invested ₹ $50,000$ more than $A$ and $C$ invested ₹ $25,000$ less than $B$. If the profit at the end of the year was ₹ $14,400$,then what is $C$'s share of the profit (in ₹)?