A began a business with Tk. 60000. He was joined afterwards by B with Tk. 45000. For how much period does B join, if the profits at the end of the year are divided in the ratio of 2 : 1?

Question: A began a business with Tk. 60000. He was joined afterwards by B with Tk. 45000. For how much period does B join, if the profits at the end of the year are divided in the ratio of 2 : 1?

Solution:
Suppose B joined for x months.

Then,
(60000 × 12)/(45000 × x) = 2/1
⇒ 2(45000 × x) = (60000 × 12)
⇒ x = (60000 × 12)/(45000 × 2)
∴ x = 8

So, B joined for 8 months.