Two partners invest TK 1,00,000 and TK 60,000 .After 6 months, they admit a new partner with TK 80,000. What is the ratio of their profits after one year?

Question: Two partners invest TK 1,00,000 and TK 60,000 .After 6 months, they admit a new partner with TK 80,000. What is the ratio of their profits after one year?

Solution:
Profit sharing ratio depends on : Capital × Time
Let,
the partners be P, Q and R

P's invest : TK 1,00,000 for 12 months
⇒ 1,00,000 × 12 = 12,00,000

Q's invest : TK 60,000 for 12 months

⇒ 60,000 × 12 =7,20,000

R's invest: TK 80,000 for 6 months

⇒ 80,000 × 6 = 4,80,000

Now, the ratio of profits:
12,00,000 : 7,20,000 : 4,80,000

Simplify = 5 : 3 : 2

∴ Ratio = 5 : 3 : 2