$A$ starts a business with a capital of ₹ $1200$. $B$ and $C$ join with some investments after $3$ and $6$ months,respectively. If,at the end of a year,the profit is divided in the ratio of $2:3:5$,what is $B$'s investment (in ₹) in the business?

The average score of Rahul,Manish,and Suresh is $63$. Rahul's score is $15$ less than Ajay's and $10$ more than Manish's. If Ajay scored $30$ marks more than the average score of Rahul,Manish,and Suresh,what is the sum of Manish's and Suresh's scores?

Satheesh started a business investing ₹ $60000$. After $3$ months,Sunil joined him with a capital of ₹ $75000$. After another $6$ months,Subhash joined them with a capital of ₹ $105000$. At the end of the year,they made a profit of ₹ $19000$. Find the share of each.

$A$ and $B$ started a partnership business investing some amount in the ratio of $3: 5$. $C$ joined them after six months with an amount equal to that of $B$. In what proportion should the profit at the end of one year be distributed among $A, B$ and $C$?

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 ₹ $45,000$.

Nikita and Nishita enter into a partnership by investing ₹ $50,000$ and ₹ $40,000$ respectively. They agreed to share profits in the ratio of their capitals. Find out the share of Nikita when the total profit of the business is ₹ $22,500$ after a year.