Question

Vijay and Ajay started a business by investing Rs 2000 and Rs 1500 respectively. 4 months after start, Vijay withdrew all his money and Amit joined Ajay by investing Rs 3000. After the end of year, the difference between the shares of Amit and Vijay together and Ajay is Rs 3423. What is the total profit after a year?

Answer 1

Ratio of shares of Vijay : Ajay : Amit is,

$\Rightarrow 2000\times 4:1500\times 12:3000\times 8$

$\Rightarrow 4:9:12$

Let the total profit be $x$ Rs.

thus,

$\Rightarrow \frac{(12+4)-9}{4+9+12}\times x=3423$

$\Rightarrow \frac{7}{25}\times x=3423$

$\Rightarrow x=12225$ Rs.

Total profit earned is $12225$ Rs.