Abhijit Guha Solutions for Chapter: Partnership and Share, Exercise 2: Practice Problems Level 2

Divide $₹ 1,250$ among $\mathrm{A}, \mathrm{B}, \mathrm{C}$ so that $\mathrm{A}$ gets $\frac{2}{9}$ of $\mathrm{B}$'s share and $\mathrm{C}$ gets $\frac{3}{4}$ of $\mathrm{A}$'s share.

A began a business by investing $₹ \mathrm{M}$. After $4$ months $\mathrm{B}$ joins with an amount $\mathrm{Q}$ which is less than $\mathrm{M}$ by $₹ 5,000$. $\mathrm{C}$ joins the business after $7$ months from the start of business with an amount $\mathrm{Z}$ which is less than $\mathrm{M}$ by $₹ 3,000$. If total investment was $₹ 1,35,000$ at the end of the year and $\mathrm{B}$ got a profit share of $₹ 5,200$, then what was $\mathrm{A}$'s share?

$\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ invested capitals in the ratio of $6:8:9$. At the end, they received the profit in the ratio of $3:4:5$. Find the ratio of their times for which they invested.

$\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ invested for the time periods in the ratio of $1:2:8$. At the end, they received the profits in the ratio of $4:3:2$. Find the ratio of investments.

$\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ share profit in the ratio of $\frac{1}{4}:\frac{1}{6}:\frac{7}{12}$. If $\mathrm{C}$ leaves the business, they share the profit of $\mathrm{C}$ in the ratio of $\frac{1}{5}:\frac{1}{4}$, respectively. The new profit sharing ratio of $\mathrm{A}$ and $\mathrm{B}$ will be

$\mathrm{A}$ and $\mathrm{B}$ started a business by investing $₹ 36,000$ and $₹ 45,000$, respectively. After $4$ months $\mathrm{B}$ withdraws $\frac{4}{9}$ of his investment. $5$ months after he again invested $\frac{11}{9}$ of its original investment. If the total earned profit at the end of the year is $₹ 1,17,240$, then who will get more money as a share of profit and how much?

$\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ are partners. $\mathrm{A}$ receives $\frac{2}{3}$ of the profit, $\mathrm{B}$ and $\mathrm{C}$ dividing the remainder equally. $\mathrm{A}$'s income increased by $₹ 400$ when the rate of profit rises from $5$ to $7$ per cent. The profit of $\mathrm{B}$ is

Amar and Bony started a business by investing in the ratio of $7:9$. After $3$ months Amar withdrew $\frac{2}{3}$ of his investment and after $4$ months from the start Bony withdrew $33\frac{1}{3}\%$ of his investment. If total profit is $₹ 10,201$ at the end of $9$ months, find the share of each in profit.