$A$ and $B$ started a business with initial investments in the ratio of $5:7$. If,after one year,their profits were in the ratio of $1:2$ and the period for $A$'s investment was $7$ months,for how many months did $B$ invest the money?

$A, B$ and $C$ enter into a partnership by investing ₹ $35000$,₹ $45000$ and ₹ $55000$ respectively. What are the respective shares of $A, B$ and $C$ in an annual profit of ₹ $40500$?

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 $Rs. 2450$?

$A$ 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 ₹)?

$A$ and $B$ started a partnership business by investing in the ratio of $3:8$. $C$ joined them after $4$ months with an amount equal to $\frac{3}{4}$ of $B$'s investment. What was the total profit (in ₹) at the end of the year if $C$ received ₹ $24000$ as his share?

Anil,Nikhil,and Saurabh started a business in partnership by investing in the ratio of $6:5:8$ respectively. At the end of the year,they earned a profit of $Rs. 83,600$. What will be Saurabh's share (in $Rs.$)?