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?

$A, B$ and $C$ entered into a partnership in the ratio $\frac{7}{2}: \frac{4}{3}: \frac{6}{5}$. After $4$ months,$A$ increases his share by $50\%$. If the total profit at the end of one year is ₹ $21600$,then find $B$'s share in the profit (in ₹).

$A, B$ and $C$ entered into a partnership by investing ₹ $12000$, ₹ $15000$ and ₹ $18000$ respectively. $A$ is also a working partner and receives $15 \%$ of the annual profit for his work. If $B$ and $C$ received ₹ $8500$ and ₹ $10200$ from the annual profit as their shares, what amount did $A$ receive from the annual profit?

Ram,Karan,and Rohan invested capital in the ratio of $2:3:4$ for time periods of $6:4:3$. Find the ratio of profit distributed.

Three partners shared the profit in a business in the ratio $5: 7: 8$. They had partnered for $14$ months,$8$ months,and $7$ months respectively. What was the ratio of their investments?

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 ₹)