Aman and Bhavil enter into a partnership with Rs. 8,000 and Rs. 15,000 respectively. After 3 months, Charul also joins them by investing amount of Rs. 10,000. After 5 months of partnership among three of them, Bhavil decided to quit the partnership deal, and takes his invested amount back with him. In what ratio should the profit of Rs. 2,55,000 earned in the first year be distributed among the three and what will be the share of Bhavil from the profit earned in first year, respectively? Correct Answer 16 : 20 : 15 , Rs. 1,00,000 From the given question we can conclude that, Aman has invested Rs. 8,000 for 12 months, Bhavil has invested Rs. 15,000 for 8 months, and Charul has invested Rs. 10,000 for 9 months. We know, profit share is directly proportional to the amount and time period of the investment. So, the profit has to be distributed among the three in the ratio of, 8 × 12 : 15 × 8 : 10 × 9 i.e. 16 : 20 : 15 Given, Total profit in first year = Rs. 2,55,000 Let the proportionality constant be k. The total of their shares = 16k + 20k + 15k ⇒ 16k + 20k + 15k = 2,55,000 ⇒ 51k = 2,55,000 ⇒ k = 5000 So, Aman's share = 16 x 5000 = Rs. 80,000 Bhavil's share = 20 x 5000 = Rs. 1,00,000 Charul's share = 15 x 5000 = Rs. 75,000