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 $,000$)?

$A$ and $B$ enter into a partnership; $A$ invests ₹ $50$ and $B$ invests ₹ $45$. At the end of $4$ months,$A$ withdraws half his capital and at the end of $5$ months,$B$ withdraws $\frac{1}{2}$ of his capital. $C$ then enters with a capital of ₹ $70$. At the end of $12$ months,the total profit is ₹ $254$. How should the profit be divided among $A$,$B$,and $C$?

Rohit started a business with $75000$ and after some months,Simran joined him with $60000$. If the profit at the end of the year is divided in the ratio $3:1$,then after how many months did Simran join Rohit?

Anju and Brijesh enter into a partnership with their capitals in the ratio of $5:9$. At the end of $8$ months,Anju withdraws her capital. If they receive their share of profit in the ratio of $4:9$,find out how long Brijesh's capital was invested in the business (in months).

$A$ and $B$ enter into a partnership for a year. $A$ contributes ₹ $1500$ and $B$ contributes ₹ $2000$. After $4$ months,they admit $C$ who contributes ₹ $2250$. If $B$ withdraws his contribution after $9$ months,what is the ratio in which they share the profit at the end of the year?

How many statements are required to find: What is the amount invested in Scheme $B$?
$I$. The amounts invested in Schemes $A$ and $B$ are in the ratio of $2:3$.
$II$. The amount invested in Scheme $A$ is $40\%$ of the total amount invested.
$III$. The amount invested in Scheme $A$ is ₹ $45,000$.