Aditya and Manish continued in a joint business for $36$ months. Aditya contributed $Rs. 300$ for a certain time and Manish invested $Rs. 500$ for the remaining time. If out of a total profit of $Rs. 1020$,Aditya gets $Rs. 495$,then for how long (in months) did Aditya keep his money?

Sita and Gita invested the same capital in a business. At the year-end,they shared the profit in the ratio of $3:2$. If Sita invested her capital for the whole year,for how many months did Gita invest her capital?

Three men $A, B$ and $C$ start a business together. They invest ₹ $30000$,₹ $24000$ and ₹ $42000$,respectively,at the beginning. After $4$ months,$B$ withdraws ₹ $6000$ and $C$ withdraws ₹ $10000$. They receive a profit of ₹ $11960$ at the end of the year. What is $B$'s share in the profit (in ₹)?

How many statements are required to find: What is the amount invested in Scheme $B$?
$I$. The amounts invested in Schemes $A$ and $B$ are in the ratio of $2:3$.
$II$. The amount invested in Scheme $A$ is $40\%$ of the total amount invested.
$III$. The amount invested in Scheme $A$ is ₹ $45,000$.

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?

Mahesh and Kishore started a business by investing $Rs. 60,000$ and $Rs. 50,000$ respectively. If after $1$ year they earned a profit of $Rs. 33,000$,what will be Kishore's share (in $,000$)?