$A$ 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?

$A$ 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.

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?

Two businessmen $A$ and $B$ invest in a business in the ratio $5:8$. They decided to reinvest $30\%$ of the profit they earned back into the business. The remaining profit they distributed amongst themselves. If $A$'s share of the profit was ₹ $87,500$,then how much total profit (in ₹) did the business make (in $,000$)?

$A, B$,and $C$ entered into a partnership with ₹ $35,12,420$,₹ $42,22,180$,and ₹ $40,65,400$ respectively. After $2$ years,$A$ withdrew ₹ $11$ Lakhs. At the same time,$C$ invested ₹ $8$ Lakhs more. If at the end of $3$ years,the total profit is ₹ $10,53,000$,what is the share (in ₹) of $C$ in the profit?

$P, Q$ and $R$ invested their capital in the ratio of $8:6:5$. At the end of the business,they received the profit in the ratio of $1:3:5$. Find the ratio of time for which they contributed their capital.