Question

Rohit, Lohit and Mohit started a business by investing in the ratio 1/3 : 2/4 : 2/5. After 8 months Mohit withdrew 1/2 of his investment. If after 12 months from start of business Rohit and Lohit got a share of Rs 16,000 out of the total profit, then find the share of Mohit?

Answer 1

Ratio of shares of Rohit : Lohit : Mohit is,

$\Rightarrow \frac{1}{3}:\frac{1}{2}:\frac{2}{5}$

$\Rightarrow 10:15:12$

After $8$ months Mohit withdrew $\frac{1}{2}$

so $\frac{1}{2}\times 12=6$

so invested $=12-6=6$ for another $4$ months

now ratio of shares of Rohit : Lohit : Mohit is

$\Rightarrow 10\times 12:15\times 12:12\times 8+6\times 4$

$2:3:2$

Let total profit be $x$ Rs.

Thus by given condition,

$\Rightarrow \frac{2+3}{2+3+2}\times x=16000$

$\Rightarrow \frac{5}{7}\times x=16000$

$\Rightarrow x=22400$ Rs.

Mohit's share in profit $=\frac{2}{7}\times 22400=6400$ Rs.