$A$ 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 ₹)?

$A$ 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.

$A, B$ and $C$ jointly thought of engaging themselves in a business venture. It was agreed that $A$ would invest ₹ $6500$ for $6$ months,$B$ ₹ $8400$ for $5$ months and $C$ ₹ $10000$ for $3$ months. $A$ wants to be the working member for which he was to receive $5 \%$ of the profits. The profit earned was ₹ $7400$. Calculate the share of $B$ in the profit. (In ₹)

$A, B$ and $C$ together start a business. Three times the investment of $A$ equals four times the investment of $B$ and the capital of $B$ is twice that of $C$. The ratio of the share of each in the profit is

$P$ 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?

Rahul started a business by investing $Rs. 45,000$. $6$ months later,Sanjay joined him with $Rs. 30,000$. In what ratio should the earned profit be distributed at the end of the year?