$A$ and $B$ entered into a partnership with capitals in the ratio $4:5$. After $3$ months,$A$ withdrew $\frac{1}{4}$ of his capital and $B$ withdrew $\frac{1}{5}$ of his capital. The gain at the end of $10$ months was ₹ $760$. $A$'s share in the profit is (in ₹):

$A, B$,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?

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 ₹)?

Aditya and Sanjay started a business investing $45000$ and $30000$ respectively. What will be the ratio between their profit?

The average score of Rahul,Manish,and Suresh is $63$. Rahul's score is $15$ less than Ajay's and $10$ more than Manish's. If Ajay scored $30$ marks more than the average score of Rahul,Manish,and Suresh,what is the sum of Manish's and Suresh's scores?

$A$ and $B$ enter into a partnership with capitals in the ratio $5: 6$. At the end of $8$ months,$A$ withdraws. If they receive profits in the ratio $5: 9$,find how long $B$'s capital was used (in months)?