$S, T$ and $U$ start a business and their capitals are in the ratio $3: 4: 6$. At the end,they received the profit in the ratio of $1: 2: 3$. What will be the respective ratio of the time periods for which they contributed their capitals?

Three partners invested a total of ₹ $114000$ in a business. At the end of the year,they received profits of ₹ $337.50$,₹ $1125.00$,and ₹ $675.00$ respectively. Calculate the investment of each partner and the percentage of total profit.

$A, B, C$ and $D$ enter into a partnership. $A$ contributes $\frac{1}{3}$ of the capital,$B$ contributes $\frac{1}{4}$,$C$ contributes $\frac{1}{5}$,and $D$ contributes the rest. What is the share (in ₹) of $D$ when the total profit is ₹ $6000$?

$A$ 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 $B$ enter into a partnership for a year. $A$ contributes ₹ $1500$ and $B$ contributes ₹ $2000$. After $4$ months,they admit $C$ who contributes ₹ $2250$. If $B$ withdraws his contribution after $9$ months,what is the ratio in which they share the profit at the end of the year?

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?