In a business,$A$ and $C$ invested amounts in the ratio $2:1,$ whereas the ratio between amounts invested by $A$ and $B$ was $3:2$. If ₹ $1,57,300$ was their total profit,how much amount (in ₹) did $B$ receive?

$A$ 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 ₹)?

Ravi and Kavi start a business by investing $Rs. 8000$ and $Rs. 72000$,respectively. Find the ratio of their profits at the end of the year. (in $:9$)

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.

$A$ and $B$ enter into a partnership by investing $Rs. 12,000$ and $Rs. 16,000$ respectively. After $4$ months,$B$ withdraws $Rs. 6,000$ and $A$ invests $Rs. 5,000$ more. After $2$ more months,$C$ joins with $Rs. 20,000$ capital. What will be $A$'s share in the profit if a total profit of $Rs. 30,100$ is earned at the end of one year?

Sita and Gita enter into a partnership. Sita contributes ₹ $5,000$ while Gita contributes ₹ $4,000$. After $1$ month,Gita withdraws $\frac{1}{4}$ part of her contribution and after $3$ months,Sita invests ₹ $2,000$ more. When Gita withdraws her investment,at the same time,Rita joins them by investing ₹ $7,000$. If at the end of $1$ year there is a profit of ₹ $1,218$,what will be the share of Rita in the profit (in ₹)?