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?

$A$,$B$,and $C$ rented a pasture. $A$ puts in $12$ oxen for $6 \text{ months}$,$B$ puts in $8$ oxen for $7 \text{ months}$,and $C$ puts in $6$ oxen for $8 \text{ months}$. If the total rent of the field is ₹ $396$,what amount (in ₹) of rent was paid by $A$?

Two partners invested ₹ $12500$ and ₹ $8500$ in a business. They decided that $60 \%$ of the profit incurred from the business will be equally divided between them,while the remaining profit will be distributed as interest on their capitals. If one of the partners receives ₹ $300$ more profit than the other,what is the total profit (in ₹) in the business?

Ravi and Kavi start a business by investing $Rs. 8000$ and $Rs. 72000$,respectively. Find the ratio of their profits at the end of the year. (in $:9$)

$A$ and $B$ are partners in a business. $A$ contributes $\frac{1}{4}$ of the capital for $15$ months and $B$ received $\frac{2}{3}$ of the profit. For how long was $B$'s money used (in months)?

The average score of Rahul,Manish,and Suresh is $63$. Rahul's score is $15$ less than Ajay's and $10$ more than Manish's. If Ajay scored $30$ marks more than the average score of Rahul,Manish,and Suresh,what is the sum of Manish's and Suresh's scores?