Question

A began a business with Rs 45000 and B joined after wards with Rs 30000. At the end of a year, the profit is divided in the ratio 2 : 1. When did B join ?

Answer 1

Let B join after \(x\) months. Then profit is divided in the ratio 45000 x 12 : 30000 x \(x\) 

Given, \(\frac{45000\times12}{30000\times{x}}\) = \(\frac21\)

⇒ 45000 × 12 = 60000 x ⇒ x = \(\frac{45000\times12}{60000}\) = 9 months

∴ B joined after 9 months.