Abhijit Guha Solutions for Chapter: Partnership and Share, Exercise 1: Practice Problems Level 1

A starts a business with $₹7,000$ and after $5$ months, $\mathrm{B}$ joins with A as his partner. After $1$ year, the profit is divided in the ratio $2:3$. What is the $\mathrm{B}$'s contribution in the capital?

Two persons $\mathrm{A}$ and $\mathrm{B}$ invested in a business with $₹ 1,15,000$ and $₹ 75,000$, respectively. They agree that $40$ per cent of the profit should be divided equally among them and the rest is divided between them according to their investment. If $\mathrm{A}$ got $₹ 500$ more than $\mathrm{B}$, then find the total profit.

A sum of money is divided among $\mathrm{A},\mathrm{B},\mathrm{C}$and $\mathrm{D}$ in the ratio of $3:5:9:13$.If the difference in amounts of $\mathrm{B}$ and $\mathrm{C}$ and that of $\mathrm{C}$ and $\mathrm{D}$ are equal to Rs. $4200$, then what is the sum of money?

$\mathrm{A}$ and $\mathrm{B}$ start a business of $₹ 5,000$ and $₹ 4,500$, respectively. After $4$ months, $\mathrm{A}$ takes out half of his capital while $\mathrm{C}$ joins them with a capital of $₹ 7,000$. At the end of the year they earn a profit of $₹ 5,080$. Find the share of each member in the profit.

Ram, Sam and Mam started a business with investments in the ratio $5:6:8$. After $1$ year Mam withdrew $50$ per cent capital and Ram increased his capital by $60$ per cent of his investment. After $2$ years, in what ratio, the profit should be distributed among them?

A began business with $₹ 1,250$ and is joined afterwards by $\mathrm{B}$ with $₹ 3,750$. When did $\mathrm{B}$ join if the profits at the end of the year are divided equally?

In a partnership between $\mathrm{X}$ and $\mathrm{Y}, \mathrm{X}$'s capital is $\frac{2}{5}$ of total and is invested for $\frac{2}{3}$ year. If his share of the profit is $\frac{4}{7}$ of the total, for how long is $\mathrm{Y}$'s capital in the business?

$\mathrm{A}$ and $\mathrm{B}$ both start a small business with $₹ 3,750$ and $₹ 4,500$, respectively. At the end of a few months from the start of the business, $\mathrm{A}$ left it. If the annual profit was divided in the ratio of $\frac{1}{12}:\frac{1}{5}$, then after how many months did A leave the business?