Gupta and Bansal enter into a partnership with their capitals in the ratio $5:6$. At the end of $8$ months,Gupta withdraws his capital. If they receive their shares of profits in the ratio of $5:9$,find out how long (in months) Bansal's capital was invested in the business?

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 ₹)?

Ram,Rohan,and Karn invested in a business in the ratio of $3:2:5$ respectively. If Ram earns $100\%$ more profit than Rohan and Karn earns $40\%$ more profit than Rohan,what will be the share of Rohan in the profit?

$A$ 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 $C$?

$A$ 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 $C$?

$A, B$ 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 ₹).