A invested Rs 76000 in a business. After few months, B joined him with Rs 57000. The total profit was divided between them in the ratio 2 : 1 at the end of the year. After how many months did B join?
2
3
4
5
Explanation:
Suppose B was there in the business for $x$ months. Then
A : B $=76000×12:57000×x$
Therefore,
$76000×12:57000×x=2:1$
$76×12:57x=2:1$
$76×12×1=57x×2$
$76×4=19x×2$
$4×4=x×2$
$x=8$
Hence B was there in the business for 8 months, or joined after 12-8 = 4 months