$A, B$ and $C$ enter into a partnership by investing ₹ $35000$,₹ $45000$ and ₹ $55000$ respectively. What are the respective shares of $A, B$ and $C$ in an annual profit of ₹ $40500$?

$A$ 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)?

$A$ starts a business with an investment of ₹ $3500$. Five months later,$B$ joins $A$ as a partner. After a year,the profits are divided in the ratio of $2:3$. How much did $B$ contribute (in ₹)?

$P$ and $Q$ enter into a partnership. $P$ invests $Rs. 50$ and $Q$ invests $Rs. 45$. At the end of $4$ months,$P$ withdraws half of his capital,and at the end of the $5^{\text{th}}$ month,$Q$ withdraws half of his capital. $S$ then enters the partnership with a capital of $Rs. 70$. At the end of $12$ months,they earn a total profit of $Rs. 1272.5$. What was $S$'s share in the profit?

$A$ and $B$ enter into a partnership. $A$ supplies the whole capital of ₹ $45000$ with the condition that the profits are to be equally distributed,$B$ pays $A$ interest on half of the capital at $10 \%$ per annum,and $B$ receives ₹ $120$ per month for managing the business. If $B$'s total income is $\frac{1}{2}$ of $A$'s total income,what is their total yearly profit (in ₹)?

$A$ and $B$ start a business with investments of ₹ $5000$ and ₹ $4500$ respectively. After $4$ months,$A$ takes out half of his capital. After two more months,$B$ takes out one-third of his capital while $C$ joins them with a capital of ₹ $7000$. At the end of a year,they earn a profit of ₹ $5080$. Find the share of each member in the profit.