$A$ 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)?

$A$ and $B$ started a partnership business by investing in the ratio of $3:8$. $C$ joined them after $4$ months with an amount equal to $\frac{3}{4}$ of $B$'s investment. What was the total profit (in ₹) at the end of the year if $C$ received ₹ $24000$ as his share?

$A$ 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 $₹$):

In a business,$A$ and $C$ invested amounts in the ratio $2:1,$ whereas the ratio between amounts invested by $A$ and $B$ was $3:2$. If ₹ $1,57,300$ was their total profit,how much amount (in ₹) did $B$ receive?

$A$ and $B$ enter into a partnership for a year. $A$ contributes ₹ $1500$ and $B$ contributes ₹ $2000$. After $4$ months,they admit $C$ who contributes ₹ $2250$. If $B$ withdraws his contribution after $9$ months,what is the ratio in which they share the profit at the end of the year?

$A$, $B$ and $C$ invested capitals in the ratio $3: 5: 9$; the timing of their investments being in the ratio $2: 3: 1$. In what ratio would their profits be distributed?