$A$ and $B$ invest in a business in the ratio $4:5$. After $10$ months,$B$ leaves the business after withdrawing his investment. In the first year,the business made a profit of ₹ $49,000$. What is $A$'s share (in ₹) of this profit?

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 ₹ $45,000$.

$A$ and $B$ are partners in a business. $A$ contributes $\frac{1}{4}$ of the capital for $15$ months and $B$ received $\frac{2}{3}$ of the profit. For how long was $B$'s money used (in months)?

Shekhar started a business investing ₹ $25000$ in $1999$. In $2000$,he invested an additional amount of ₹ $10000$ and Rajeev joined him with an amount of ₹ $35000$. In $2001$,Shekhar invested another additional amount of ₹ $10000$ and Jatin joined them with an amount of ₹ $35000$. What will be Rajeev's share in the profit (in ₹) of ₹ $150000$ earned at the end of $3$ years from the start of the business in $1999$?

Niki,Nisha and Anu formed a partnership with investments of ₹ $75,000$,₹ $60,000$ and ₹ $40,000$ respectively. After $3$ years of operation,the partnership earned a net profit of ₹ $26,250$. What was the share of Anu in the profit (in ₹)?

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 ₹)?