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?

$A$ 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?

How should a profit of ₹ $450$ be divided between two partners,one of whom has contributed ₹ $1200$ for $5$ months and the other ₹ $750$ for $4$ months?

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?

$A$ starts a business with an investment of ₹ $3500$. Five months later,$B$ joins $A$ as a partner. After a year,the profits are divided in the ratio of $2:3$. How much did $B$ contribute (in ₹)?

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 $,000$)?