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?

$A$ and $B$ enter into a partnership; $A$ invests ₹ $50$ and $B$ invests ₹ $45$. At the end of $4$ months,$A$ withdraws half his capital and at the end of $5$ months,$B$ withdraws $\frac{1}{2}$ of his capital. $C$ then enters with a capital of ₹ $70$. At the end of $12$ months,the total profit is ₹ $254$. How should the profit be divided among $A$,$B$,and $C$?

$A$ 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.

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?

Ram,Rohan,and Karn invested in a business in the ratio of $3:2:5$ respectively. If Ram earns $100\%$ more profit than Rohan and Karn earns $40\%$ more profit than Rohan,what will be the share of Rohan in the profit?

$A$ 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 ₹)?