A starts a business with Tk 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?

Question: A starts a business with Tk 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?

Solution:
Let B's capital be Tk x
∴ A's share in 12 months = 3500 × 12
And, B's share in 7 months = 7x

Then,
(3500 × 12)/7x = 2/3
⇒ 14x = 126000
⇒ x = 9000