$A$ and $B$ invest in a business in the ratio of $3:2$. If $5\%$ of the total profit goes to charity and $A$'s share is $₹ 855$,then the total profit is (in $₹$):

$P, Q$ and $R$ invested their capital in the ratio of $8:6:5$. At the end of the business,they received the profit in the ratio of $1:3:5$. Find the ratio of time for which they contributed their capital.

$P$ and $Q$ enter into a partnership. $P$ invests $Rs. 50$ and $Q$ invests $Rs. 45$. At the end of $4$ months,$P$ withdraws half of his capital,and at the end of the $5^{\text{th}}$ month,$Q$ withdraws half of his capital. $S$ then enters the partnership with a capital of $Rs. 70$. At the end of $12$ months,they earn a total profit of $Rs. 1272.5$. What was $S$'s share in the profit?

$A, B$ and $C$ invest to start a restaurant. The total investment was ₹ $3,00,000$. $B$ invested ₹ $50,000$ more than $A$ and $C$ invested ₹ $25,000$ less than $B$. If the profit at the end of the year was ₹ $14,400$,then what is $C$'s share of the profit (in ₹)?

$A$ and $B$ started a partnership business investing some amount in the ratio of $3: 5$. $C$ joined them after six months with an amount equal to that of $B$. In what proportion should the profit at the end of one year be distributed among $A, B$ and $C$?

Three partners invested a total of ₹ $114000$ in a business. At the end of the year,they received profits of ₹ $337.50$,₹ $1125.00$,and ₹ $675.00$ respectively. Calculate the investment of each partner and the percentage of total profit.