Question

A starts a business with an initial investment of Rs. 30,000. After 6 months , B enters into the partnership with an investment of Rs. 20,000.Again after 3 months C enters with an investment of Rs.50,000.If C receives Rs. 2000 in the profit at the end of the year ,what is the total annual profit?

Answer 1

Ratio of investment of A:B:C is,

$\Rightarrow 30,000\times 12:20,000\times 6:50,000\times 3$

$\Rightarrow 12:4:5$

Let Total profit earned be $x$ Rs.

So C's share is,

$\Rightarrow \frac{5}{12+4+5}\times x=2000$

$\Rightarrow \frac{5}{21}\times x=2000$

$\Rightarrow 5x=42000$

$\Rightarrow x=8400$ Rs.

Thus, Total profit earned is $8400$ Rs.