Rahim, Sohel and Tarek invested Tk.12000, Tk.9000 and Tk.15000 respectively in a business. Sohel left after four months. If after nine months, there was a gain of Tk.6975, then what will be the share of Tarek in this gain?

Question: Rahim, Sohel and Tarek invested Tk.12000, Tk.9000 and Tk.15000 respectively in a business. Sohel left after four months. If after nine months, there was a gain of Tk.6975, then what will be the share of Tarek in this gain?

Solution:
Rahim : Sohel : Tarek = (12000 × 9) : (9000 × 4) : (15000 × 9)
= 108000 : 36000 : 135000
= 12 : 4 : 15


∴ Tarek's share = {6975 × (15/31)}
= 3375 Taka