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.

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 $Rs.$)?

Simran started a software business by investing ₹ $50000$. After six months,Nanda joined her with a capital of ₹ $80000$. After $3$ years,they earned a profit of ₹ $24500$. What was Simran's share in the profit? (In ₹)

Rohit started a business with $75000$ and after some months,Simran joined him with $60000$. If the profit at the end of the year is divided in the ratio $3:1$,then after how many months did Simran join Rohit?

$A, B, C$ and $D$ enter into a partnership. $A$ contributes $\frac{1}{3}$ of the capital,$B$ contributes $\frac{1}{4}$,$C$ contributes $\frac{1}{5}$,and $D$ contributes the rest. What is the share (in ₹) of $D$ when the total profit is ₹ $6000$?

$A$ 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?