Question

A, B, C enter into a partnership by investing Rs.3600, Rs.4400 and Rs.2800. Since A is a working partner, he gets one–fourth of the profit for his services and the remaining profit is divided among the three partners in the rate of their investments.
What is the amount of profit B earns if A earns a total profit of Rs.8000?

• A. 7777.77
• B. 8777.77
• C. 9777.77
• D. 10777.77
• E. none

Answer 1

The correct option is C

9777.77

The ratio of their investments is 9:11:7.
Let total profit be 'x'.
So, 0.75x will be shared between the three partners in the rate of their investments.
So, A's profit will be ($\frac{1}{12}+\frac{1}{4}$)x = 8000
$\to$ x = Rs.24000

$\therefore$ B's profit will be $\frac{11}{27}\times$24000 = Rs.9777.77