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 $Rs$)?

Ram started a business by investing $Rs. 45000$. After $3$ months,Sanjay joined him with a capital of $Rs. 60000$. After $6$ months,Aditya joined them with a capital of $Rs. 90000$. At the end of the year,they earned a profit of $Rs. 16500$. What is Ram's share in the business (in $Rs.$)?

$A, B$ and $C$ entered into a partnership in the ratio $\frac{1}{2}: \frac{1}{3}: \frac{1}{4}$. After $2$ months,$A$ withdraws half of his capital and after $10$ months,a profit of ₹ $378$ is divided among them. What is $B$'s share (in ₹)?

$A$ 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?

$A, B$ and $C$ entered into a partnership by investing ₹ $12000$, ₹ $15000$ and ₹ $18000$ respectively. $A$ is also a working partner and receives $15 \%$ of the annual profit for his work. If $B$ and $C$ received ₹ $8500$ and ₹ $10200$ from the annual profit as their shares, what amount did $A$ receive from the annual profit?