$S, T$ 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?

$A, B, C$ enter into a partnership with shares in the ratio $\frac{7}{2}: \frac{4}{3}: \frac{6}{5}.$ After $4 \text{ months}$,$A$ increases his share by $50\%.$ If the total profit at the end of one year is $₹ 21600,$ then $B$'s share in the profit is (in $₹$):

$A$, $B$ and $C$ invested capitals in the ratio $3: 5: 9$; the timing of their investments being in the ratio $2: 3: 1$. In what ratio would their profits be distributed?

Two partners invested ₹ $12500$ and ₹ $8500$ in a business. They decided that $60 \%$ of the profit incurred from the business will be equally divided between them,while the remaining profit will be distributed as interest on their capitals. If one of the partners receives ₹ $300$ more profit than the other,what is the total profit (in ₹) in the business?

$A$ and $B$ jointly invest ₹ $2100$ and ₹ $3100$ in a firm. $A$ is an active partner,hence he receives $25 \%$ of the profit separately. If their business yields ₹ $1040$ as profit,what will be the profit share for each of them?

Mahesh and Kishore started a business by investing $Rs. 60,000$ and $Rs. 50,000$ respectively. If after $1$ year they earned a profit of $Rs. 33,000$,what will be Kishore's share (in $,000$)?