Brahma, Vishnu and Mahesh invested money in the ratio of 1/2:1/3:1/4 in a business. After 4 months, Brahma doubled his investment and after 6 months, Vishnu halves his Investment. If the total profit at the end of the year be Rs. 82000 then find the share of each in the profit

Ratio of Capital invested by Brahma, Vishnu and Mahesh = 6 : 4 : 3 Let the Capital invested by Brahma, Vishnu and Mahesh = 6x, 4x and 3x respectively Total Capital invested by Brahma in 1 year = 6x × 4 + 12x × 8 = 24x + 96x = 120x Total Capital invested by Vishnu in 1 year = 4x × 6 + 2x × 6 = 24x + 12x = 36x Total Capital invested by Mahesh in 1 year = 3x × 12 = 36x Ratio of Profits According to the question, (10x + 3x + 3x) = 82000 16x = 82000 x = 5125 Profit Share of Brahma = 5125 × 10 = 51250 Profit Share of Vishnu = 5125 × 3 = 15375 Profit Share of Mahesh = 5125 × 3 = 15375