Question

A, B and C start a business and their investments are in the ratio $4:3:6$. Both A and B starts the business and C joins them after $6$ months. It was decided that C will get a monthly salary of Rs $600$ from the annual profits. C's total salary came out to be $10\%$ of the annual profit after a year. What is the share of B in the total profits?

Answer 1

$C^{\prime }$s monthly salary Rs $600$.

Then his annual income $=600\times 6=3600$ (Because he has worked for $6$ months only)

Rs $3600$ is $10\%$ of total profit.

Then total profit:

$\Rightarrow \frac{3600}{\text{t}otalprofit}\times 100=10$

$\Rightarrow \text{t}otalprofit=36000$

Ratio of their shares,

$\Rightarrow 4\times 12:3\times 12:6\times 6$

$\Rightarrow 4:3:3$

Profit left after reducing salary of C $=36000-3600=32,400$

$B^{\prime }$s share $=\frac{3}{10}\times 32400=9720.$

Thus $B^{\prime }$s share in annual profit $=9720$