A and B started a business by investing Tk. 40,000 and Tk. 60,000 respectively. After 6 months, C joined the business by investing Tk. 80,000. What is the ratio of their profits at the end of the year?

Question: A and B started a business by investing Tk. 40,000 and Tk. 60,000 respectively. After 6 months, C joined the business by investing Tk. 80,000. What is the ratio of their profits at the end of the year?Solution: Given,A invests Tk. 40,000 for 12 months∴ A’s investment = 40,000 × 12 = 4,80,000B invests Tk. 60,000 for 12 months∴ B’s investment = 60,000 × 12 = 7,20,000C joins after 6 months and invests Tk. 80,000 for 6 months∴ C’s investment = 80,000 × 6 = 4,80,000Profit-sharing ratio A : B : C = 4,80,000 : 7,20,000 : 4,80,000= 2 : 3 : 2 [divide all by 240000 to simplify]