Simran started a software business by investing ₹ $50000$. After six months,Nanda joined her with a capital of ₹ $80000$. After $3$ years,they earned a profit of ₹ $24500$. What was Simran's share in the profit? (In ₹)

$A$ and $B$ started a business in partnership investing ₹ $20000$ and ₹ $15000$ respectively. After six months,$C$ joined them with ₹ $20000$. What will be $B$'s share in the total profit of ₹ $25000$ earned at the end of $2$ years from the starting of the business? (In ₹)

Rahul started a business by investing $Rs. 45,000$. $6$ months later,Sanjay joined him with $Rs. 30,000$. In what ratio should the earned profit be distributed at the end of the year?

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 $B$ invest in a business in the ratio $4:5$. After $10$ months,$B$ leaves the business after withdrawing his investment. In the first year,the business made a profit of ₹ $49,000$. What is $A$'s share (in ₹) of this profit?

$A$ 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 $C$?