A invested Rs. 76,000 in a business. After some months, B joined him with Rs. 57,000. At the end of the year, the total profit was divided between them in the ratio 2:1 After how many months did B join?

Explanation

(Let B, invest money after $x$ months) <table> <tr> <th></th> <th>A</th> <th>:</th> <th>B</th> </tr> <tr> <td>Investment $\rightarrow$</td> <td>76000</td> <td>:</td> <td>57000</td> </tr> <tr> <td></td> <td>4</td> <td>:</td> <td>3</td> </tr> <tr> <td>Time $\rightarrow$</td> <td>12</td> <td>:</td> <td>$(12-x)$</td> </tr> <tr>