$A$ started a business with ₹ $3500$ and after $5$ months,$B$ joined $A$ as his partner. After a year,the profit was divided in the ratio $2:3$. What was $B$'s contribution to the capital (in ₹)?

$A, B$ and $C$ invest to start a restaurant. The total investment was ₹ $3,00,000$. $B$ invested ₹ $50,000$ more than $A$ and $C$ invested ₹ $25,000$ less than $B$. If the profit at the end of the year was ₹ $14,400$,then what is $C$'s share of the profit (in ₹)?

Two friends $P$ and $Q$ started a business investing in the ratio of $5:6$. $R$ joined them after six months investing an amount equal to that of $Q$. At the end of the year,$20\%$ profit was earned which was equal to $₹ 98000$. What was the amount invested by $R$?

$A$ and $B$ entered into a partnership with capitals in the ratio $4:5$. After $3$ months,$A$ withdrew $\frac{1}{4}$ of his capital and $B$ withdrew $\frac{1}{5}$ of his capital. The gain at the end of $10$ months was ₹ $760$. $A$'s share in the profit is (in ₹):

Ram and Anil enter into a partnership for a year. Ram invests $Rs. 1200$ and Anil invests $Rs. 1500$. After $3$ months,Aditya enters with a contribution of $Rs. 900$. If Anil withdraws his money after $6$ months,what will be the share of Aditya (in $Rs.$) if the total profit is $Rs. 2450$?

$A$ began a business with ₹ $85000$. He was joined afterwards by $B$ with ₹ $42500$. For how much period (in months) does $B$ join,if the profits at the end of the year are divided in the ratio of $3:1$?