# Questions with detailed step by step solutions from Partnerships

##### Questions in Partnerships
1. $A$ and $B$ entered into a partnership by making capital investments of Rs. $2,00,000$ and Rs. $5,00,000$ respectively. If after one year the partnership makes a profit of Rs. $25,200,$ what is the share of $A$ ?
2. $A$ and $B$ entered into a partnership by investing in the ratio of $4: 5.$ $B$ is the managing partner and is supposed to get Rs. $24,000$ as an annual salary. If at the end of the year $A$ gets a profit share of Rs. $48,000,$ what was the total profit made by the business?
3. $A, B$ and $C$ started a business investing Rs. $42000,$ Rs. $30000$ and Rs. $28000$ respectively. After $4$ months $A$ withdrew Rs. $12000,$ $B$ withdrew Rs. $6000$ and $C$ withdrew Rs. $8000.$ If after $10$ months a total profit of Rs. $46420$ is earned, what is the share of $C$ ?
4. $A, B$ and $C$ enter into a partnership by investing Rs. $2$ lakh, Rs. $3$ lakh and Rs. $2.4$ lakh respectively. After four months $A$ withdrew Rs. $80,000$ and after six months $B$ withdrew Rs. $1.2$ lakh. At the end of eight months $C$ deposited another Rs. $80,000.$ If at the end of the year the partnership makes a profit of Rs. $25,74,000,$ what is the share of $C$ in the business?
5. $A$ and $B$ entered into a partnership with investment in the ratio of $4 : 5.$ After $3$ months, $A$ withdrew $\frac{1}{4}$ of his investment and $B$ withdrew $\frac{1}{5}$ of his investment. The gain at the end of $10$ months was Rs. $760.$ Find the profit of $B$ ?
6. $A$ and $B$ rent a pasture for $10$ months; $A$ puts in $80$ cows for $8$ months. How many can $B$ put in for the remaining $3$ months, if he pays half as much again as $A$ ?
7. $A$ and $B$ enter into partnership with investments in the ratio $3: 4.$ $B$ quits the business after some time and at the end of $10$ months the profits are divided between them in the ratio of $5: 6.$ Find out how long $B$ remained in the business?
8. $A$ began business with Rs. $45,000$ and was later joined by $B$ with Rs. $54,000.$ When did $B$ join if the profit at the end of the year were divided in the ratio $2 : 1$ ?
9. In a business having two partners Ajay and Bijay, only Ajay is the working partner. Ajay and Bijay invest Rs. $50,000$ and Rs. $90,000$ respectively in the business. Ajay gets $12.5\%$ share of the profit for managing the business, and rest is divided between them in the ratio of their investments. Find the Share of Ajay if there is a profit of Rs. $8000.$
10. $A, B$ and $C$ start a business each investing Rs. $20,000.$ After $5$ months $A$ withdrew Rs. $5000, B$ withdrew Rs. $4000$ and $C$ invests Rs. $6000$ more. At the end of the year, a total profit of Rs. $69,900$ was recorded. Find the share of $B.$