$\mathrm{P}, \mathrm{Q}$ and $\mathrm{R}$ start a business jointly. Twice the capital of $\mathrm{P}$ is equal to thrice the capital of $\mathrm{Q}$ and the capital of $\mathrm{Q}$ is four times the capital of $\mathrm{R}$. Find the share of $\mathrm{Q}$ in an annual profit of $\mathrm{Rs}.148500$.

$\mathrm{A}$ and $\mathrm{B}$ enter into a partnership with capitals in the ratio $2:3$. At the end of $9$ months, $\mathrm{A}$ withdraws from the business. If their profits are in the ratio $1:2$. How long $\mathrm{B}$ invest his capital?

$\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ started a business with a total investment of $\mathrm{Rs}.72000$. $\mathrm{A}$ invests $\mathrm{Rs}.6000$ more than $\mathrm{B}$ and $\mathrm{B}$ invests $\mathrm{Rs}.3000$ less than $\mathrm{C}$. If the total profit at the end of a year is $\mathrm{Rs}.8640$, find $\mathrm{A}$'s share.

$\mathrm{A}$ and $\mathrm{B}$ enter into a partnership. $\mathrm{A}$ invests $\mathrm{Rs}.32000$ and also adds $\mathrm{Rs}.11000$ after $4$ months. $\mathrm{B}$ withdraws $\mathrm{Rs}.2000$ at the end of $8$ months. At the end of the year, both received equal profits. Find the intimal investment of $\mathrm{B}$.

$\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ started a business. $\mathrm{A}$ invests $\frac{1}{2}$ capital for $\frac{1}{4}$ time, $\mathrm{B}$ invests $\frac{1}{8}$ capital for $\frac{1}{2}$ time and $\mathrm{C}$ invests the remaining capital for the whole time. Find the share of $\mathrm{B}$ in the total profit of $\mathrm{Rs}.9900$.

$\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ rented a meadow. $\mathrm{A}$ grazed $8$ cows for $6$ months, $\mathrm{B}$ grazed $12$ cows for $8$months and $\mathrm{C}$ grazed $10$ cows for $9$ months. If $\mathrm{A}$ paid $\mathrm{Rs}.560$ as rent, find the rent paid by $\mathrm{C}$.

$\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ hire a car for $2$ days and agree to pay $\mathrm{Rs}.60$ per hour. They used it together for $6$ hours and then $\mathrm{C}$ leaves and again another $12$ hours and $\mathrm{B}$ also leaves. Find the rent paid by $\mathrm{A}$.

$\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ enter into a partnership. $\mathrm{A}$ invests $\mathrm{Rs}.25000$ and gets $\mathrm{Rs}.1200$ as profit in a total profit of $\mathrm{Rs}.3600$. If $\mathrm{B}$ gets $\mathrm{Rs}.1500$ as profit, find the investment of $\mathrm{C}$.

$\mathrm{A}$ and $\mathrm{B}$ started a business by investing $\mathrm{Rs}.45000$ and $\mathrm{Rs}.60000$ respectively. By mistake, they divided the total profit in the ratio $1:3$. Then, $\mathrm{A}$ loses $\mathrm{Rs}.500.$ Find the total profit.