$A, B$ and $C$ together start a business. Three times the investment of $A$ equals four times the investment of $B$ and the capital of $B$ is twice that of $C$. The ratio of the share of each in the profit is

Arvind began a business with ₹ $550$. Later,Brij joined with ₹ $330$. When did Brij join if the profit at the end of the year was divided in the ratio $10:3$?

$A$ and $B$ enter into a partnership for a year. $A$ contributes $₹ 1500$ and $B$ $₹ 2000$. After $4$ months,they admit $C$,who contributes $₹ 2250$. If $B$ withdraws his contribution after $9$ months,how would they share a profit of $₹ 900$ at the end of the year?

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 ₹)?

$A$ 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 $3:1$?