R. S. Aggarwal Solutions for Chapter: Partnership, Exercise 2: EXERCISE 13B

$\mathrm{A}$ and $\mathrm{B}$ start a business in partnership by investing $\mathrm{Rs}.50000$ and $\mathrm{Rs}.60000$ respectively. For managing the business $\mathrm{A}$ is paid $12\frac{1}{2}\%$ of the total profit and the remaining profit is distributed among them in the ratio of their investments. Find the amount received by each out of a total profit of $\mathrm{Rs}.88000$ .

$\mathrm{A}$ and $\mathrm{B}$ start a business in partnership. $\mathrm{A}$ alone invests $\mathrm{Rs}.450000$ with the condition that $\mathrm{B}$ will pay interest at $10\%$ per annum on half of the amount and the profit will be equally distributed among the two partners. Before distributing the profit among the partners, $\mathrm{B}$ is paid $\mathrm{Rs}.1200$ per month for the inspection work. If at the end of the year, the income of $B$ is equal to that of half of $A$, find the total annual profit.

$\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ invest respectively $\mathrm{Rs}.12000 , \mathrm{Rs}.15000$ and $\mathrm{Rs}.18000$ in a business. For management of the business, $\mathrm{A}$ is paid $25\%$ of total annual profit in the business The remaining profit is distributed among $\mathrm{A},\mathrm{B}$ and $\mathrm{C}$ in proportion to their investments. At the end, if $\mathrm{A}$ gets $\mathrm{Rs}.1000$ less than what $\mathrm{B}$ and $\mathrm{C}$ together get, find the total annual profit for that year.

$\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ enter into a partnership and their capitals are in the proportion of $\frac{1}{2}:\frac{1}{3}:\frac{1}{4}$. If $\mathrm{B}$ withdraws one-half of his capital after $4$ months and the total profit at the end of the year be $\mathrm{Rs}.175000$, find the share of each.

$\mathrm{A}$ and $\mathrm{B}$ started a business by investing money in the ratio $4: 5$. After $3$ months $\mathrm{A}$ withdrew $\frac{1}{4}$ of his capital and $\mathrm{B}$ withdrew $\frac{1}{5}$ of his capital. At the end of $10$ months after starting the business, they gained $\mathrm{Rs}.60800$. Find the share of each in this profit.

$\mathrm{A}$ and $\mathrm{B}$ enter into a partnership by investing $\mathrm{Rs}.10000$ and $\mathrm{Rs}.40000$ respectively. $\mathrm{B}$ gets $\mathrm{Rs}.1000$ per month for managing the business. After paying $5\%$ as interest on the capital of each of the partners, the remaining annual profit is distributed among the partners in the ratio of their capitals. In an annual profit of $\mathrm{Rs}.40000$, find the share of each.

$\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ are three partners in a business. As manager and assistant manager $\mathrm{A}$ and $\mathrm{B}$ get respectively $10\%$ and $5\%$ of total gain. The remaining part of the profit is distributed among them in the ratio of their capitals. If the capitals of $\mathrm{A}$and $\mathrm{B}$ are respectively $\mathrm{Rs}.700000$ and $\mathrm{Rs}.600000$ and $\mathrm{B}$ gets $35\%$ of the total gain, find the capital of $\mathrm{C}$.

The total capital of four partners is $\mathrm{Rs}.400000$. Out of this, half investment was made by $\mathrm{A}$ and the remaining capital was invested equally by $\mathrm{B}$ and $\mathrm{C}$. $\mathrm{D}$ was selected as a manager and it was decided that $\mathrm{D}$ will get $10\%$ of the total gain while each one of $\mathrm{B}$ and $\mathrm{C}$ will be given $5\%$ of the total gain. The remaining profit was distributed among $\mathrm{A},\mathrm{B}$ and $\mathrm{C}$ in the ratio of their capitals. Out of a total profit of $\mathrm{Rs}.12600$, the sum of the shares of $\mathrm{A}, \mathrm{B}$ is $₹$_____