A began a business with Rs. 85000. He was joined afterwards by B with Rs. 42,500. For how much perod does B join, if the profits at the end of the year are divided in the ratio of 3:1 ?

A began a business with Rs. 85000. He was joined afterwards by B with Rs. 42,500. For how much perod does B join, if the profits at the end of the year are divided in the ratio of 3:1 ?

A 8 months

B 6 months

C 7 months

D 9 months

Solution

Correct Answer: Option A

Suppose B joined for x months.

Given profit is divided in the ratio 3:1. Then,

\(\frac{85000\times12}{42500\times x}=\frac31\)

--> x = 8 months.