$S, T$ 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?

$A$ 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?

Shekhar started a business investing ₹ $25000$ in $1999$. In $2000$,he invested an additional amount of ₹ $10000$ and Rajeev joined him with an amount of ₹ $35000$. In $2001$,Shekhar invested another additional amount of ₹ $10000$ and Jatin joined them with an amount of ₹ $35000$. What will be Rajeev's share in the profit (in ₹) of ₹ $150000$ earned at the end of $3$ years from the start of the business in $1999$?

Sumit,Punit,and Ramit started a business by investing their capitals in the ratio of $1: 2: 3$. At the end of the business term,they received their shares of profit in the ratio of $1: 2: 3$. Find out the ratio of time for which they invested their capitals.

$A$ starts a business with a capital of ₹ $1200$. $B$ and $C$ join with some investments after $3$ and $6$ months,respectively. If,at the end of a year,the profit is divided in the ratio of $2:3:5$,what is $B$'s investment (in ₹) in the business?

$A, B$ 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