A began a business with Tk. 85, He was joined afterwards by B with Tk. 42, For how much period 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 Tk. 85, He was joined afterwards by B with Tk. 42, For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?

A 4 months

B 5 months

C 6 months

D 8 months

Solution

Correct Answer: Option D

Suppose B joined for x months. Then,

Then, (85000 x 12)/( 42500 x x)=3/1

=> x = (85000 x 12)/( 42500 x 3) = 8.

So, B joined for 8 months.