A starts a business with Tk 4,500. After 4 months, B joins as a partner by investing some amount. At the end of one year from the start, the profits are shared in the ratio A : B = 3 : 4. Find B’s capital investment.

Question : A starts a business with Tk 4,500. After 4 months, B joins as a partner by investing some amount. At the end of one year from the start, the profits are shared in the ratio A : B = 3 : 4. Find B’s capital investment.

Solution:
Let,
B's capital be TK X
Then,
(4500 × 12)/8X = 3/4
⇒ 24X = (4500 × 12 × 4)
⇒ 24X = 216,000
⇒ X = 216,000/24
∴ X = 9000