$A$,$B$,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 $A$?

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,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?

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 $:9$)

Two businessmen $A$ and $B$ invest in a business in the ratio $5:8$. They decided to reinvest $30\%$ of the profit they earned back into the business. The remaining profit they distributed amongst themselves. If $A$'s share of the profit was ₹ $87,500$,then how much total profit (in ₹) did the business make (in $,000$)?

Three partners shared the profit in a business in the ratio $5: 7: 8$. They had partnered for $14$ months,$8$ months,and $7$ months respectively. What was the ratio of their investments?