Bidyut Guha Thakurta and Amitava Mitra Solutions for Exercise 1: EXERCISE 4

Three friends bought a bus by investing capitals of $\mathrm{Rs}.60,000, \mathrm{Rs}.75000 \mathrm{and} \mathrm{Rs}.55,000$ respectively. First man works as driver and remaining two works as conductor. They decide that they will divide $\frac{3}{5}$ of their income in the ratio $3:2:2$ for their work and the remaining part in the ratio of their capital. If they earn $\mathrm{Rs}.14,630$ in a month, than what amount each of them will get ?

At the starting of the year two friend Ajoy and Aftab starts a joint business with capital $\mathrm{Rs}.20000$ and  $\mathrm{Rs}.25000$.After some months Ajoy invests $\mathrm{Rs}.10000$ more in the business. At end of the year they make a profit of $\mathrm{Rs}.3100$ and Ajoy gets $\mathrm{Rs}.1600$ as profit. After how many months of starting the business Ajoy invests the capital of $\mathrm{Rs}.10000$.

Shyambabu starts a business with a capital of $\mathrm{Rs}.5000$. After $3$ months Jadubabu join in the business with capital $\mathrm{Rs}.6000$ and after $5$ months Sanatanbabu investments $\mathrm{Rs}.8000$ in the business. After the end of the year of the profit is $\mathrm{Rs}.3400$, how much money each will get?

In a joint business the capital of three friends are $₹160, ₹120$ and $₹200$. If the capitals are invested for the same time, then the ratio of their profit is 

Uttam and Rahim starts a business with $₹2400$ and $₹1600$. After one year if Uttam suffer a loss of $₹45$ in business then loss of Rahim is 

Suvendu and Nausad starts a joint business. Sovendu invests $₹500$ for $9$ months and Nausad invests some money in the business for $6$ months. The total profit in business is $₹69$ and Nausad gets a profit of $₹46$. The capital of Nausad in business is 

In a business the ratio of capital of Ram and Rahim is $5:6$. The profit in the business is $₹2200$, then the part of the profit of Rahim is 

In a joint business the ratio of the capitals of three partners is $5:7:9$. If the profit in the business is $₹420$, then the third partner will get