$A$ 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 $3:1$?

Rohit started a business with $75000$ and after some months,Simran joined him with $60000$. If the profit at the end of the year is divided in the ratio $3:1$,then after how many months did Simran join Rohit?

Aditya and Manish continued in a joint business for $36$ months. Aditya contributed $Rs. 300$ for a certain time and Manish invested $Rs. 500$ for the remaining time. If out of a total profit of $Rs. 1020$,Aditya gets $Rs. 495$,then for how long (in months) did Aditya keep his money?

Srikant and Vividh started a business investing amounts of $Rs. 185000$ and $Rs. 225000$,respectively. If Vividh's share in the profit earned by them is $Rs. 9000$,what is the total profit (in $Rs.$) earned by them together?

$A$ 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?

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?