Question

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

A 40400, 20800, 20800 Correct Answer Incorrect Answer
B 50500, 15750, 15750 Correct Answer Incorrect Answer
C 51250, 15375, 15375 Correct Answer Incorrect Answer
D 52500, 10150, 19350 Correct Answer Incorrect Answer
E 49650, 19725, 12625 Correct Answer Incorrect Answer

Solution

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

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