In a business,$B$ is a sleeping partner and $A$ is a working partner. $A$ invests ₹ $5000$ and $B$ invests ₹ $6000$. $A$ receives $12 \frac{1}{2} \%$ of the profit for managing the business,and the remaining amount is divided in proportion to their capitals. If the total profit is ₹ $880$,what is $A$'s share of the profit (in ₹)?

$A, B$ and $C$ enter into a partnership by investing ₹ $35000$,₹ $45000$ and ₹ $55000$ respectively. What are the respective shares of $A, B$ and $C$ in an annual profit of ₹ $40500$?

Ram and Anil enter into a partnership for a year. Ram invests $Rs. 1200$ and Anil invests $Rs. 1500$. After $3$ months,Aditya enters with a contribution of $Rs. 900$. If Anil withdraws his money after $6$ months,what will be the share of Aditya (in $Rs.$) if the total profit is $Rs. 2450$?

$A$ began a business with ₹ $3750$. $B$ joined later with ₹ $5000$. When did $B$ join if the profits at the end of the year were divided equally?

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 ₹)?

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