$A$ and $B$ entered into a partnership investing ₹ $16000$ and ₹ $12000$ respectively. After $3$ months,$A$ withdrew ₹ $5000$ while $B$ invested ₹ $5000$ more. After another $3$ months,$C$ joined the business with a capital of ₹ $21000$. If the total profit after $1$ year is ₹ $26400$,by how much does the share of $B$ exceed that of $C$?

$P$ and $Q$ enter into a partnership. $P$ invests $Rs. 50$ and $Q$ invests $Rs. 45$. At the end of $4$ months,$P$ withdraws half of his capital,and at the end of the $5^{\text{th}}$ month,$Q$ withdraws half of his capital. $S$ then enters the partnership with a capital of $Rs. 70$. At the end of $12$ months,they earn a total profit of $Rs. 1272.5$. What was $S$'s share in the profit?

$A, B$ and $C$ jointly thought of engaging themselves in a business venture. It was agreed that $A$ would invest ₹ $6500$ for $6$ months,$B$ ₹ $8400$ for $5$ months and $C$ ₹ $10000$ for $3$ months. $A$ wants to be the working member for which he was to receive $5 \%$ of the profits. The profit earned was ₹ $7400$. Calculate the share of $B$ in the profit. (In ₹)

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 ₹)?

Two businessmen $A$ and $B$ invest in a business in the ratio $5:8$. They decided to reinvest $30\%$ of the profit they earned back into the business. The remaining profit they distributed amongst themselves. If $A$'s share of the profit was ₹ $87,500$,then how much total profit (in ₹) did the business make (in $,000$)?

$A$,$B$,and $C$ rented a pasture. $A$ puts in $12$ oxen for $6 \text{ months}$,$B$ puts in $8$ oxen for $7 \text{ months}$,and $C$ puts in $6$ oxen for $8 \text{ months}$. If the total rent of the field is ₹ $396$,what amount (in ₹) of rent was paid by $A$?