Ram,Karan,and Rohan invested capital in the ratio of $2:3:4$ for time periods of $6:4:3$. Find the ratio of profit distributed.

Rajan and Sajan started a business initially with $Rs. 14200$ and $Rs. 15600$ respectively. If the total profit at the end of the year is $Rs. 74500$,what is Rajan's share in the profit (in $Rs$)?

$A$ starts a business with $Rs. 4000$ and $B$ joins him after $3$ months with $Rs. 16000$. Find the ratio of their profits at the end of the year.

An amount of money is to be divided among $P$,$Q$,and $R$ in the ratio of $3: 5: 7$,respectively. If the amount received by $R$ is ₹ $4,000$ more than the amount received by $Q$,what will be the total amount (in ₹) received by $P$ and $Q$ together?

$A$ began a business with ₹ $3750$. $B$ joined later with ₹ $5000$. When did $B$ join if the profits at the end of the year were divided equally?

$A$,$B$ and $C$ start a business. If the ratio of their periods of investments is $2: 3: 6$ and their profits are in the ratio of $4: 5: 6$, then the ratio of capitals of $A$,$B$ and $C$ is