Unique Academic Board Solutions for Exercise 1: Practice Exercise

Prashant, Nishant and Samarth invested Rs. $8000$, Rs. $4000$ and Rs. $8000$ respectively in a business. Prashant left after six months. If after eight months, there was a gain of Rs. $4,005$, then what will be the share of Nishant?

A, B, and C enter into a partnership. They invest Rs. $40,000$, Rs. $80,000$ and Rs. $1,20,000$ respectively. At the end of the first year, B withdraws Rs. $40,000$ while at the end of the second year, C withdraws Rs. $80,000$. In what ratio will the profit be shared at the end of $3$ years?

Three partners shared the profit in a business in the ratio $5:7:8$. They had partnered for $14$ months, $8$ months, and $7$ months respectively. What was the ratio of their investments?

In a business, A and C invested amounts in the ratio of $2:1$, whereas the ratio between the amounts invested by A and B was $3:2$. If Rs. $157300$ was their profit, how much amount did B receive?

A, B and C enter into a partnership and their shares are in the ratio $\frac{1}{2}:\frac{1}{3}:\frac{1}{4}$. After $2$ months, A withdrawals half of his capital and after $10$ months, a profit of Rs. $378$ is divided among them. What is B's share?

Abhijit started a business investing Rs. $70,000$ Anuja joined him after six months with an amount of Rs.$1,05,000$ and Sunil joined them with Rs. $1.4$ lakhs after another six months. The amount of profit earned should be distributed in what ratio among Abhijit, Anuja and Sunil respectively three years after Abhijit  started the business?

Bishan started a business investing Rs. $9,000$. After five months, Vinay joined with a capital of Rs. $8,000$. If at the end of the year, they earn a profit of Rs. $6,970$, then what will be the share of Vinay in the profit?

Umesh and Jayant entered into a partnership with capitals in the ratio $4:5$. After $3$ months, Umesh withdrew $\frac{1}{4}$ of his capital and Jayant withdrew $\frac{1}{5}$ of his capital. The gain at the end of $10$ months was Rs. $760$. Umesh's share in the profit is?