Question

A began a business with Rs. 4500 and was joined afterwards by B with Rs. 5400. If the profits at the end of the year were divided in the ratio 2:1, B joined the business after :

Answer 1

Suppose $B$ remained in the business for x months.

$A:B=(4500\times 12):(5400\times x)=(54000:5400x)=10:x$

Therefore,

$\frac{10}{x}=\frac{2}{1}$

$x=5$

Thus, $B$ remained in the business for $5$ months.

So, $B$ joined the business after $7$ months.