Arihant Expert Team Solutions for Exercise 1: Practice Questions

$A, B$ and $C$ start a business each investing $Rs. 16000$. After $3$ months, $A$ withdrew $Rs. 2000$, $B$ withdrew $Rs. 4000$ and $C$ invests $Rs. 8000$ more. At the end of the year a total profit of $Rs. 41580$ was made. Find the share of $A$.

Three milkmen rented a pasture. $A$ grazed $15$ cows for $4$ months, $B$ grazed $8$ cows for $6$ months and $C$ grazed $12$ cows for $8$ months. If $B\text{'}s$ share of rent is $Rs. 800$. Find the total rent of the field.

$A, B$ and $C$ enter into a partnership by investing in the ratio $2 : 1 : 3$. After $1$ year, $B$ invests another $Rs. 6000$ and $C$ at the end of the $2$ years also invests $Rs. 12000$. At the end of $3$years, profits are shared in the ratio $3 : 2 : 5$. Find the initial investment of each.

Vinod and Ankit started a business, investing amounts in the ratio $2 : 3$. If vinod had invested an additional amount of $Rs. 10000$, the ratio of Vinod's investment to Ankit's investment would have been $3 : 2$. What was the amount invested by Vinod?

Vinay started a business investing $Rs. 50000$. After $1$ year, he invested another $Rs. 30000$ and Aditya also joined him with a capital of $Rs. 70000$. If the profit earned in $3$ years from the starting of business was $Rs. 87500$, find the share of Aditya in the profit.

Anil is an active and Vimal is sleeping partner in a business. Anil invests $Rs. 12000$ and Vimal invests $Rs. 20000$. Anil receives $10\%$ profit for managing, the rest being divided in proportion to their capitals. Out of the total profit of $Rs. 9000$, the money received by Anil is

$A, B$ and $C$ invested capitals in the ratio of $2 : 3 : 5$. At the end of the business terms, they received the profit in the ratio of $5 : 3 :\hspace{0.17em}12$. Find the ratio of time for which they contributed their capitals.

$A, B$ and $C$ each does certain investments for time periods in the ratio of $5 :\hspace{0.17em}6 : 8$. At the end of the business term, they received the profits in the ratio of $5 :\hspace{0.17em}3 : 12$. Find the ratio of investments of $A, B$and $C$.