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?

Kamal started a business investing ₹ $9000$. After five months,Sameer joined with a capital of ₹ $8000$. If at the end of the year,they earn a profit of ₹ $6970$,then what will be the share of Sameer (in ₹) in the profit?

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 $,000$)?

Sumit,Punit,and Ramit started a business by investing their capitals in the ratio of $1: 2: 3$. At the end of the business term,they received their shares of profit in the ratio of $1: 2: 3$. Find out the ratio of time for which they invested their capitals.

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.

$A, B$ 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 ₹)