$A$ 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 ₹):

$A$ 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?

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?

Three men $A, B$ and $C$ start a business together. They invest ₹ $30000$,₹ $24000$ and ₹ $42000$,respectively,at the beginning. After $4$ months,$B$ withdraws ₹ $6000$ and $C$ withdraws ₹ $10000$. They receive a profit of ₹ $11960$ at the end of the year. What is $B$'s share in the profit (in ₹)?

Ravi and Kavi start a business by investing $Rs. 8000$ and $Rs. 72000$,respectively. Find the ratio of their profits at the end of the year. (in $:9$)

$P, Q$ 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.