A invested ` 76000 in a business. After few months, B joined him with ` 57000. 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?
Answer
Answer (as printed):
Explanation
Suppose B joined after $x$ months. Then, B's money was invested for $(12-x)$ months. $\therefore \frac{76000\times12}{57000\times(12-x)}=\frac{2}{1} \Leftrightarrow 912000=114000(12-x)$ $\Leftrightarrow 114(12-x)=912 \Leftrightarrow (12-x)=8 \Leftrightarrow x=4$. Hence, B joined after 4 months.
Explanation as extracted from the printed page; notation may be imperfect.