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?

$A$ 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 $C$?

$A$ 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?

In a business,$B$ is a sleeping partner and $A$ is a working partner. $A$ invests ₹ $5000$ and $B$ invests ₹ $6000$. $A$ receives $12 \frac{1}{2} \%$ of the profit for managing the business,and the remaining amount is divided in proportion to their capitals. If the total profit is ₹ $880$,what is $A$'s share of the profit (in ₹)?

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?