Discussion Forum

A invested Rs. 76,000 in a business. After few 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 ?

Answer:

Explanation:

Suppose $B$ joined after $x$ months.

Then, B's money was invested for $(12-x)$ months.

$\frac{76000\times12}{57000\times(12-x)}$ $ =\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.