Question

Shyam, Gopal and Madhur are three partners in a business. Their capitals are respectively Rs.4,000, Rs.8,000 and Rs.6,000. Shyam gets 20% of total profit for managing the business. The remaining profit is divided among the three in the ratio of their capitals. At the end of the year, the profit of Shyam is Rs.2200 less than the sum of the profit of Gopal and Madhur. What is the total profit earned by Shyam?

• A. 1870
• B. 880
• C. 990
• D. 935
• E. none

Answer 1

The correct option is A

1870

Let the profit be $Rs.x$.
So, $0.8x$ will be the amount they will share according to investments ratio, which is 2:4:3.
As per the information, at the end of the year, $\frac{2}{9}\times 0.8x=\frac{4}{9}\times 0.8x+\frac{3}{9}\times 0.8x-Rs.2200$
So, on solving we get $x=Rs.4950$
$\therefore$ Shyam gets the profit of Rs.1870.