$A$ 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 $3:1$?

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 $B$ enter into a partnership with capitals in the ratio $5: 6$. At the end of $8$ months,$A$ withdraws. If they receive profits in the ratio $5: 9$,find how long $B$'s capital was used (in months)?

Aman started a business investing ₹ $70,000$. Rakhi joined him after six months with an amount of ₹ $1,05,000$,and Sagar joined them with ₹ $1,40,000$ after another six months. The amount of profit earned should be distributed in what ratio among Aman,Rakhi,and Sagar respectively,$3$ years after Aman started the business?

Rahul started a business by investing $Rs. 45,000$. $6$ months later,Sanjay joined him with $Rs. 30,000$. In what ratio should the earned profit be distributed at the end of the year?

$A$ 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 ₹)?